What is a Decimal? Return to Table of Contents Slide 5 / 192 - - PDF document
Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Slide 3 / 192 Table of Contents Click on a topic to go to that section. What is a Decimal? Identify Place Values Read and Write Decimals Compare & Order
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5th Grade
Decimal Concepts
2015-11-16 www.njctl.org
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What is a Decimal? Identify Place Values Read and Write Decimals Compare & Order Decimals Round Numbers to Designated Place Values
Table of Contents
Click on a topic to go to that section. Glossary & Standards
Slide 3 / 192
What is a Decimal? Identify Place Values Read and Write Decimals Compare & Order Decimals Round Numbers to Designated Place Values
Table of Contents
Click on a topic to go to that section. Glossary & Standards
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Teacher Notes
Vocabulary Words are bolded in the presentation. The text box the word is in is then linked to the page at the end
word defined on it.
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Return to Table
What is a Decimal?
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A Decimal Number (based on the number 10, tenth parts, and powers
Click to find out!
What is a decimal number?
Decimals Slide 5 / 192
Where do we see decimals being used?
Click on the photo to find out! In races to show speed. The women's record for the fastest 100 meter dash is 10.88 seconds. In baseball, batting averages are in
Cabrera has a batting average of 0.387 Music Stations that show their radio frequency in decimals. With money to show dollars and change. This shows $6.91. And many other places!
Slide 6 / 192 Why do we need decimals?
Decimals are used in situations when more precision is needed. For instance, when two people cross the finish line, someone will win by a fraction of a second. We show those fractions as decimals. If you are spending money, many things are not worth an exact dollar amount.
Slide 7 / 192 Why do we need decimals?
Decimals are used in situations when more precision is needed. For instance, when two people cross the finish line, someone will win by a fraction of a second. We show those fractions as decimals. If you are spending money, many things are not worth an exact dollar amount.
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Math Practice
MP.6 - Attend to precision. Ask the students to think, pair, share to come up with another example of when a more precise number is needed. MP.7 - Look for and make use of structure. Ask them to compare that with a situation that does not require as much precision. Ask, "Why is it important to round _____ decimal place in this situation/problem?
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Lets take a look at decimals on a number line. Click on the picture below for an interactive number line.
Decimals on a Number Line
Teacher Notes
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Return to Table
Identify Place Values
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tenths
hundredths.
tens
hundreds
thousandsOur place value chart is almost like a mirror image, with a line between the ones place and the decimal point. Everything to the left ends in "s" and everything to the right ends in "ths"
thousandthsPlace Value Chart Slide 10 / 192
tenths
hundredths.
tens
hundreds
thousandsOur place value chart is almost like a mirror image, with a line between the ones place and the decimal point. Everything to the left ends in "s" and everything to the right ends in "ths"
thousandthsPlace Value Chart
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Teacher Notes The words: place value tenths hundredths thousandths are linked to a vocabulary page in the glossary.
Slide 10 (Answer) / 192 Place Value Chart Slide 11 / 192 Place Value Chart
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Teacher Notes This chart can be printed for student use. Use this chart to practice identifying place value of digits in a decimal number. If needed, this chart can be used to practice reading and writing decimal numbers in standard, word and expanded forms.
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1 What digit is in the thousandths place? 987,654.0123 A 7
B
2 C 3 D 8
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1 What digit is in the thousandths place? 987,654.0123 A 7
B
2 C 3 D 8
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Answer
B Slide 12 (Answer) / 192
2 What digit is in the tenths place? 987,654.0123 A 1
B
4 C D 5
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2 What digit is in the tenths place? 987,654.0123 A 1
B
4 C D 5
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Answer
C Slide 13 (Answer) / 192
3 What digit is in the hundredths place? 987,654.0123 A 5
B
C 1 D 2
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3 What digit is in the hundredths place? 987,654.0123 A 5
B
C 1 D 2
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Answer
C Slide 14 (Answer) / 192
What is the value of a yellow rod? one-tenth (0.1) Blue Block How many yellow rods are needed to fill the blue block? 10 Yellow Rod One Unit (1)
click clickTenths Slide 15 / 192
What is the value of a yellow rod? one-tenth (0.1) Blue Block How many yellow rods are needed to fill the blue block? 10 Yellow Rod One Unit (1)
click clickTenths
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Teacher Notes
Use this page for students to gain an understanding
hundredths look like.
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Think of it in terms of money. How many dimes does it take to make a dollar? _________ dimes = 1 dollar So, a dime is one tenth of a whole dollar.
Money and Decimals Slide 16 / 192
Blue Block Red Block Yellow Rod How many red blocks are needed to fill the blue block? 100 (Hint: Fill a yellow rod with red blocks) What is the value of a red block?
One Unit (1)
click clickHundredths Slide 17 / 192
Blue Block Red Block Yellow Rod How many red blocks are needed to fill the blue block? 100 (Hint: Fill a yellow rod with red blocks) What is the value of a red block?
One Unit (1)
click clickHundredths
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Teacher Notes
Use this page for students to gain an understanding
hundredths look like.
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Think of it in terms of money. How many pennies does it take to make a dollar? _________ pennies = 1 dollar So, a penny is one hundredth of a whole dollar.
Money and Decimals Slide 18 / 192
So a dollar is a whole. A dime is a tenth. And a penny is a hundredth.
tenth
hundredth
.
What if we had a coin that was smaller than a penny? How many times smaller than a penny do you think it would be? What would you call it?
Money and Decimals Slide 19 / 192
Blue = One Unit 3 yellow rods = 0.3 three tenths
Representing Units Slide 20 / 192
23 red blocks = 0.23 twenty three hundredths Blue = One Unit
Representing Units Slide 21 / 192
Interactive Number Grid - Use to Show Decimals
Click to Go to Interactive SiteSlide 22 / 192
Interactive Number Grid - Use to Show Decimals
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Teacher Notes
This site requires Flash 5 Plugin
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4 If the square equals one whole, what does the shaded area represent?
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4 If the square equals one whole, what does the shaded area represent?
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Answer
.33 Slide 23 (Answer) / 192
5 If the square equals one whole, what does the shaded area represent?
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5 If the square equals one whole, what does the shaded area represent?
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Answer
.45 Slide 24 (Answer) / 192
6 If the square equals one whole, what does the shaded area represent?
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6 If the square equals one whole, what does the shaded area represent?
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Answer
.62 Slide 25 (Answer) / 192
7 If the square equals one whole, what does the shaded area represent?
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7 If the square equals one whole, what does the shaded area represent?
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Answer
.4 Slide 26 (Answer) / 192
8 If the square equals one whole, what does the shaded area represent?
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8 If the square equals one whole, what does the shaded area represent?
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Answer
.7 Slide 27 (Answer) / 192
tenth
hundredth
.
tens
hundreds
dime penny
thousands
Lets look at place value using money again. ______ pennies = 1 dime ______ dimes = 1 dollar bill ______ 1 dollar bills = 1 ten dollar bill ______ ten dollar bills = 1 hundred dollar bill What do you notice about place value?
Money and Decimals Slide 28 / 192 Place Value
As you look at the place value chart, how many times does the value of the number decrease as you go to the right?
Each place has a value that is one tenth of the value of its place to its left.
Click to reveal
Slide 29 / 192 Place Value
As you look at the place value chart, how many times does the value of the number decrease as you go to the right?
Each place has a value that is one tenth of the value of its place to its left.
Click to reveal
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Math Practice
MP.2 - Reason Abstractly and Quantitatively By recognizing that as you move to the right in place value, the numbers decrease by a tenth, the students are making meaning of quantities and of relationships between quantities.
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10 ones = ten 10 tens = 1 hundred
Lets take a closer look at what happens as we move to the left on the place value chart.
Representing Units
Teacher Notes
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tenth
hundredth
.
tens
hundreds
dime penny
thousands
Lets look at place value using money again. A hundred dollars is ____ times as much as ten dollars A ten dollars is ____ times as much as a dollar A dollar is ____ times as much as a dime A dime is ____ times as much as a penny What do you notice about place value?
Money and Decimals Slide 31 / 192
tenth
hundredth
.
tens
hundreds
dime penny
thousands
Lets look at place value using money again. A hundred dollars is ____ times as much as ten dollars A ten dollars is ____ times as much as a dollar A dollar is ____ times as much as a dime A dime is ____ times as much as a penny What do you notice about place value?
Money and Decimals
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Math Practice
MP.4 - Model with mathematics. For this standard, students should solve real life & society related questions and represent real life scenarios mathematically. Using money to solve problems comparing place value gives students an opportunity to do this.
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Place Value
As you look at the place value chart, how many times does the value of the number increase as you go to the left?
Each place has a value that is 10 times the value of its place to the right.
Click to reveal
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ten 10 = one 1 hundred 10 = ten 1 thousand 10 = 1 hundred 10 = ten 10 = 1 Lets take a closer look at what happens as we move to the right on the place value chart.
Representing Units Slide 33 / 192
ten 10 = one 1 hundred 10 = ten 1 thousand 10 = 1 hundred 10 = ten 10 = 1 Lets take a closer look at what happens as we move to the right on the place value chart.
Representing Units
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Teacher Notes
Use the moveable pieces to show that ten is "one tenth" of 100, and one is "one tenth" of ten.
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Lets use place value to compare decimal #s.
tenths hundredths
0.3 + 0.03 The 3 in the tenths place is ten times as much as the 3 in the hundredths place. expanded form standard form thirty-three hundredths word form
Place Value Slide 34 / 192
Lets use place value to compare decimal #s.
tenths hundredths
0.3 + 0.03 The 3 in the tenths place is ten times as much as the 3 in the hundredths place. expanded form standard form thirty-three hundredths word form
Place Value
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Teacher Notes
Writing numbers in word, standard and expanded form has been addressed
you have students who need extra instruction/ practice with this skill. The words are also linked to vocabulary slides.
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tenths hundredths
0.4 + 0.04 The 4 in the hundredths place is
expanded form standard form word form forty-four hundredths
Place Value Slide 35 / 192
9 In the number 3.33, the digit in the tenths place is one tenth of the digit in the hundredths place. True False
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9 In the number 3.33, the digit in the tenths place is one tenth of the digit in the hundredths place. True False
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Answer
False Slide 36 (Answer) / 192
10 In the number 11.111, the digit in the thousandths place is one tenth of the digit in the ________ place. A ones B tenths C hundredths
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10 In the number 11.111, the digit in the thousandths place is one tenth of the digit in the ________ place. A ones B tenths C hundredths
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Answer
C Slide 37 (Answer) / 192
11 A digit in the ones place is 100 times as much as a digit in the ______ place. A ones B tenths C hundredths
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11 A digit in the ones place is 100 times as much as a digit in the ______ place. A ones B tenths C hundredths
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Answer
C Slide 38 (Answer) / 192
12 The value of the 6 in 26.495 is _______________ the value of the 6 in 17.64. A 1/10 B 10 times C 1/100
From PARCC EOY sample test #18
D 100 times
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12 The value of the 6 in 26.495 is _______________ the value of the 6 in 17.64. A 1/10 B 10 times C 1/100
From PARCC EOY sample test #18
D 100 times
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Answer
A Slide 39 (Answer) / 192
13 The value of the 3 in 0.931 is _______________ the value of the 3 in 0.384 A 1/10 B 10 times C 1/100
From PARCC EOY sample test #18
D 100 times
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13 The value of the 3 in 0.931 is _______________ the value of the 3 in 0.384 A 1/10 B 10 times C 1/100
From PARCC EOY sample test #18
D 100 times
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Answer
A Slide 40 (Answer) / 192 Decimals on the Number Line
2 3
What does each line, between the whole numbers 2 and 3, represent on this number line ? Label the number line.
Slide 41 / 192 Decimals on the Number Line
2 3
What does each line, between the whole numbers 2 and 3, represent on this number line ? Label the number line.
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Teacher Notes
Use the interactive number line if further exploration is needed.
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32 33
What does each line, between the whole numbers 32 and 33, represent on this number line ? Label the number line.
Decimals on the Number Line Slide 42 / 192
4.3 4.4
What does each line, between the decimal numbers 4.3 and 4.4, represent on this number line ? Label the number line.
Decimals on the Number Line Slide 43 / 192
0.63 0.64
What does each line, between the decimal numbers 0.63 and 0.64, represent on this number line? Label the number line.
Decimals on the Number Line Slide 44 / 192
National Library of Virtual Manipulatives
Click to go to web site. Change Places to "Decimals" at the bottom left.Zoom in to drag the dot more precisely.
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14 Which letter corresponds to the number 4.4 on this number line? 10
A B C D
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14 Which letter corresponds to the number 4.4 on this number line? 10
A B C D
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Answer
C Slide 46 (Answer) / 192
15 Which letter corresponds to the number 6.8 on this number line? 10
A B C D
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15 Which letter corresponds to the number 6.8 on this number line? 10
A B C D
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Answer
C Slide 47 (Answer) / 192
16 Which letter corresponds to the number 0.8 on this number line? 1
A B C D
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16 Which letter corresponds to the number 0.8 on this number line? 1
A B C D
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Answer
C Slide 48 (Answer) / 192
17 Which letter corresponds to the number 7.2 on this number line? 7 8
A B C D
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17 Which letter corresponds to the number 7.2 on this number line? 7 8
A B C D
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Answer
B Slide 49 (Answer) / 192
18 Which letter corresponds to the number 19.3 on this number line? 19 20
A B C D
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18 Which letter corresponds to the number 19.3 on this number line? 19 20
A B C D
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Answer
C Slide 50 (Answer) / 192
19 Which letter corresponds to the number 324.5 on this number line? 3 2 4 325
A B C D
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19 Which letter corresponds to the number 324.5 on this number line? 3 2 4 325
A B C D
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Answer
B Slide 51 (Answer) / 192
20 Which letter corresponds to the number 5.35 on this number line?
A B C D
5.3 5.4
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20 Which letter corresponds to the number 5.35 on this number line?
A B C D
5.3 5.4
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Answer
C Slide 52 (Answer) / 192
21 Which letter corresponds to the number 1.08 on this number line?
A B C D
Not plotted on this number line 1 1.1
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21 Which letter corresponds to the number 1.08 on this number line?
A B C D
Not plotted on this number line 1 1.1
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Answer
B Slide 53 (Answer) / 192
22 Which letter corresponds to the number 6.23 on this number line?
A B C
6.2 6.3
D
Not plotted on this number line
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22 Which letter corresponds to the number 6.23 on this number line?
A B C
6.2 6.3
D
Not plotted on this number line
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Answer
B Slide 54 (Answer) / 192
23 Which letter corresponds to the number 17.4 on this number line?
A B C
17.1 17.2
D
Not plotted on this number line
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23 Which letter corresponds to the number 17.4 on this number line?
A B C
17.1 17.2
D
Not plotted on this number line
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Answer
D Slide 55 (Answer) / 192
Return to Table
Read & Write Decimals
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In this unit, we will be working with numbers written in standard, word, and expanded form. Lets review each.
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.
and
1
10
and and
3
4
three and four hundredths Word Form 2 3 5
1
two and three hundred fifty-one thousandths
8
eight tenths
Word Form
Word form is simply the number written using words instead of digits, commas, and a period when needed.
Slide 58 / 192
To read decimal numbers we:
Reading Decimals Slide 59 / 192
Remember the place values after the decimal point start with tenths
million hundred thousand ten thousand thousand hundred ten
and tenth hundredth thousandth ten thousandth
9, 8 7 5, 6 1 0 . 4 7 9
This number is read: Nine million, eight hundred seventy-five thousand, six hundred ten AND four hundred seventy-nine thousandths
Reading Decimals Slide 60 / 192
. 7 5 4 6 . 2 5 9 8 . 3 . 8 9 . 1 1 2 3 5 4 . 6 9 . 7
Can You Read the Number?
thousands hundreds tens
and tenths hundredths thousandths
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Click on the the dice, and then read the number.
Dice Reading Slide 62 / 192
Click on the the dice, and then read the number.
Dice Reading
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Teacher Notes
Click on the double arrows for the first dice and fill in whole
double arrows for the second dice and fill in decimal numbers.
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write it out. If there is no number to the left of the decimal, skip to step 3.
Writing Decimals in Words
Write 13.24 in words Thirteen and twenty-four hundredths
The numbers twenty-one through ninety-nine are always hyphenated.
Click to reveal
Click to reveal
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How does a comma help when writing a decimal number? The place value before the comma is always stated. For example: 1,547 is written One THOUSAND, five hundred forty-seven 6,547,100 is written 6 MILLION, five hundred forty-seven THOUSAND,
Writing Decimals Slide 64 / 192 Write the Decimal in Words
1) 5.04 Five and four hundredths 2) 146.457 One hundred forty-six and four hundred fifty-seven thousandths 3) .0009 Nine ten-thousandths 4) 6,345.149 Six thousand, three hundred forty-five and one hundred forty-nine thousandths
Slide 65 / 192 Write the Decimal in Words
1) 5.04 Five and four hundredths 2) 146.457 One hundred forty-six and four hundred fifty-seven thousandths 3) .0009 Nine ten-thousandths 4) 6,345.149 Six thousand, three hundred forty-five and one hundred forty-nine thousandths
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Math Practice
MP.1 - Make sense of problems and persevere in solving them.
Some students may not know where to
using comas and the decimal point as benchmarks may help. Ask: How could you start this problem? How could you make it easier to solve? What are you having trouble with? To guide them to using these strategies.
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Slide 66 / 192 Web Site Practice Slide 67 / 192 Web Site Practice
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Teacher Notes
Practice I gives a decimal in standard form, and has the students identify the word form. Practice II gives the decimal number verbally, and has the students identify the number given. (This can be saved for the next set of practice problems)
To use responders with these problems, start a multiple- choice instant question.
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24 What is 4.36 in word form? A
four and thirty-six
B
four and thirty-six tenths
C
four, thirty-six
D
four and thirty-six hundredths
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24 What is 4.36 in word form? A
four and thirty-six
B
four and thirty-six tenths
C
four, thirty-six
D
four and thirty-six hundredths
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Answer
D Slide 68 (Answer) / 192
25 What is 63.067 in word form? A
sixty-three and sixty-seven hundredths
B
sixty-three and sixty-seven thousandths
C
sixty-three and sixty-seven
D
sixty-three, sixty-seven thousandths
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25 What is 63.067 in word form? A
sixty-three and sixty-seven hundredths
B
sixty-three and sixty-seven thousandths
C
sixty-three and sixty-seven
D
sixty-three, sixty-seven thousandths
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Answer
B Slide 69 (Answer) / 192
26 What is 0.419 in word form? A
zero and four hundred nineteen
B
four hundred nineteen hundredths
C
four hundred nineteen thousandths
D
four one nine
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26 What is 0.419 in word form? A
zero and four hundred nineteen
B
four hundred nineteen hundredths
C
four hundred nineteen thousandths
D
four one nine
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Answer
C Slide 70 (Answer) / 192
27 What is 0.09 in
word form?
A nine and nine B nine hundredths C nine and nine hundredths D nine and zero nine tenths
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27 What is 0.09 in
word form?
A nine and nine B nine hundredths C nine and nine hundredths D nine and zero nine tenths
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Answer
B Slide 71 (Answer) / 192
28 What is 407.021 in
word form? A four zero seven zero two one B four hundred seven twenty-one C four hundred seven and twenty-one thousandths D four hundred seven and twenty-one hundredths
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28 What is 407.021 in
word form? A four zero seven zero two one B four hundred seven twenty-one C four hundred seven and twenty-one thousandths D four hundred seven and twenty-one hundredths
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Answer
C Slide 72 (Answer) / 192 Standard Form
Standard form is the way we usually see numbers written, using digits, commas and a period when needed. Standard Form 10.88 0.387 92.3 6.91
Slide 73 / 192 Standard Form
the decimal
will end
Slide 74 / 192
Use the chart as a guide to write the decimal numbers in standard form.
thousands hundreds tens
and tenths hundredths thousandths
Standard Form Chart Slide 75 / 192 Web Site Practice Slide 76 / 192 Web Site Practice
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Teacher Notes
Practice I gives a decimal in standard form, and has the students identify the word form. Practice II gives the decimal number verbally, and has the students identify the number given. (This can be saved for the next set of practice problems)
To use responders with these problems, start a multiple- choice instant question.
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29 What is fifty-two and eighteen hundredths?
A 52,18 B 52.018 C 52.18 D 52.0018
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29 What is fifty-two and eighteen hundredths?
A 52,18 B 52.018 C 52.18 D 52.0018
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Answer
C Slide 77 (Answer) / 192
30 What is five thousand, fifty and five hundredths?
A 550.5 B 5,050.5
C
5,050.05
D
5,500.05
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30 What is five thousand, fifty and five hundredths?
A 550.5 B 5,050.5
C
5,050.05
D
5,500.05
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Answer
C Slide 78 (Answer) / 192
31 What is six hundred three and four thousandths?
A 603.4 B 603.004 C 603.04 D 603.0004
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31 What is six hundred three and four thousandths?
A 603.4 B 603.004 C 603.04 D 603.0004
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Answer
B Slide 79 (Answer) / 192
32 What is thirty-four hundredths?
A 340 B 34 C 0.34 D 0.034
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32 What is thirty-four hundredths?
A 340 B 34 C 0.34 D 0.034
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Answer
C Slide 80 (Answer) / 192
33 What is four hundred ninety-five thousandths? A 495 B 495.000 C 0.0495 D 0.495
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33 What is four hundred ninety-five thousandths? A 495 B 495.000 C 0.0495 D 0.495
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Answer
D Slide 81 (Answer) / 192
To write a number in expanded form, the number is written as a sum of the value of each digit. Place value charts make it easy to write numbers in expanded form, because it helps us see the value of each digit. 3 + 0.04 2 + 0.3 + 0.04 + 0.001 0.8
.
and
1
10
and and
3
4
Expanded Form 2 3 5
1 8
Expanded Form Slide 82 / 192
Slide 83 / 192
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Teacher Notes
Use this tool as a place value visual to model expanded form to the
numbers apart.) Show how it breaks down to 2 + 0.5 + 0.03 + 0.008
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100 + 20 + 9 + 0.2 + 0.04 This interactive game will help you practice writing numbers in expanded form. As a class, select the correct building blocks for each place value, then write the number in expanded form. Check your work as a class.
Decimal Place Value Game Slide 84 / 192 Slide 85 / 192
34 What is 80 + 0.2 + 0.03 in standard form?
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34 What is 80 + 0.2 + 0.03 in standard form?
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Answer
80.23 Slide 86 (Answer) / 192
35 What is 0.5 + 0.004 in standard form?
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35 What is 0.5 + 0.004 in standard form?
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Answer
0.504 Slide 87 (Answer) / 192
36 Which is equivalent to 30.53? A 30+0.5+0.3 B 3+0.05+0.03 C 0.3+0.05+0.003 D 30+0.05+0.003
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36 Which is equivalent to 30.53? A 30+0.5+0.3 B 3+0.05+0.03 C 0.3+0.05+0.003 D 30+0.05+0.003
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Answer
C Slide 88 (Answer) / 192
37 Which is equivalent to 0.873? A 0.8+0.07+0.03 B 8+0.7+0.3 C 0.8+0.07+0.3 D 0.8+0.07+0.003
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37 Which is equivalent to 0.873? A 0.8+0.07+0.03 B 8+0.7+0.3 C 0.8+0.07+0.3 D 0.8+0.07+0.003
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Answer
D Slide 89 (Answer) / 192
38 Which number is equivalent to 0.08? A eight tenths B 0.8 + 0.08 C eight hundredths
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38 Which number is equivalent to 0.08? A eight tenths B 0.8 + 0.08 C eight hundredths
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Answer
C Slide 90 (Answer) / 192
39 Which number is equivalent to 0.3 + 0.004 A 3.04 B 0.34 C three hundred four thousandths
Slide 91 / 192
39 Which number is equivalent to 0.3 + 0.004 A 3.04 B 0.34 C three hundred four thousandths
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Answer
C Slide 91 (Answer) / 192
40 Which number is equivalent to sixteen hundredths? A 0.016 B .1 + 0.06 C .01 + 0.06
Slide 92 / 192
40 Which number is equivalent to sixteen hundredths? A 0.016 B .1 + 0.06 C .01 + 0.06
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Answer
B Slide 92 (Answer) / 192 Slide 93 / 192
Slide 93 (Answer) / 192
Return to Table
Compare & Order Decimals
Slide 94 / 192
One number goes on the left of the symbol and another number goes on the right of the symbol. The number on the left of the ">" shows the larger number. For example: 2 > 1 2 is "greater than" 1 The number on the left of the "<" shows the smaller number. For example: 1 < 2 1 is "less than" 2
Inequalities
There are two symbols we use to compare numbers when they are not equal. We call these number sentences inequalities. > (greater than) < (less than)
Slide 95 / 192
Symbols and Words to remember when comparing numbers SYMBOL WORDS > < = greater than/largest less than/ smallest equal
Inequality Symbols Slide 96 / 192 Comparing Decimals
· Line up the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right · The largest digit, having the same place value, names the largest number
Slide 97 / 192
0.045 0.210 Compare 0.045 and 0.21 · Line up the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right · The largest digit, having the same place value, names the largest number
put zero
end Compare left to right. 2 is greater than 0, so 0.21 is greatest.
0.045 < 0.21
Click to reveal
Comparing Decimals Slide 98 / 192
0.360 0.312 Compare 0.36 and 0.312 · Line up the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right · The largest digit, having the same place value, names the largest number
put zero
end Compare left to right. 6 is greater than 1, so 0.36 is greatest.
0.36 > 0.312
Click to reveal
Comparing Decimals Slide 99 / 192
0.009 0.020 Compare 0.009 and 0.02 · Line up the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right · The largest digit, having the same place value, names the largest number
put zero
end Compare left to right. 2 is greater than 0, so 0.02 is greatest.
0.009 < 0.02
Click to reveal
Comparing Decimals Slide 100 / 192 Decimal Squares Interactive Games
Click for link.Game could also be played with two students having a spinner and writing down their decimal number. In this game the robot won, because 0.7950 is greater than 0.5021.
Slide 101 / 192
42 Choose the correct symbol.
0.41 0.049
A > B < C =
Slide 102 / 192
42 Choose the correct symbol.
0.41 0.049
A > B < C =
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Answer
A Slide 102 (Answer) / 192
43 Choose the correct symbol. A > B <
0.301 three hundred eleven thousandths
C =
Slide 103 / 192
43 Choose the correct symbol. A > B <
0.301 three hundred eleven thousandths
C =
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Answer
B Slide 103 (Answer) / 192
44 Choose the correct symbol. A > B <
0.007 0.05
C =
Slide 104 / 192
44 Choose the correct symbol. A > B <
0.007 0.05
C =
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Answer
B Slide 104 (Answer) / 192
45 Choose the correct symbol. A > B < 0.179 twenty-four hundredths C =
Slide 105 / 192
45 Choose the correct symbol. A > B < 0.179 twenty-four hundredths C =
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Answer
B Slide 105 (Answer) / 192
46 Choose the correct symbol. A > B <
forty-six hundredths 0.6
C =
Slide 106 / 192
46 Choose the correct symbol. A > B <
forty-six hundredths 0.6
C =
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Answer
B Slide 106 (Answer) / 192
47 Select from the choices to correctly complete the comparison. A > B <
4.408 four and forty-eight thousanths
C =
From PARCC PBA sample test #3
Slide 107 / 192
47 Select from the choices to correctly complete the comparison. A > B <
4.408 four and forty-eight thousanths
C =
From PARCC PBA sample test #3
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Answer
A Slide 107 (Answer) / 192
48 Select from the choices to correctly complete the comparison. A > B < six hundred ninety-one and five hundredths 6 x 100 + 9 x 10 + 1 + 8 x 11,000 C =
From PARCC PBA sample test #3
Slide 108 / 192
48 Select from the choices to correctly complete the comparison. A > B < six hundred ninety-one and five hundredths 6 x 100 + 9 x 10 + 1 + 8 x 11,000 C =
From PARCC PBA sample test #3
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Answer
B Slide 108 (Answer) / 192
Teachers: Use this Mathematical Practice Pull Tab for the next slide.
Teacher Note Slide 109 / 192
Teachers: Use this Mathematical Practice Pull Tab for the next slide.
Teacher Note
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Math Practice MP.3 - Construct viable arguments and critique the reasoning of others. If the answer is not unanimous, give the students an opportunity to justify their response and evaluate the reasoning of others. Ensure that they are listening to and questioning other students. Ask: How was your answer different than some of your classmates? How did you reach that conclusion? Why is that true? Who would like to share a different way of answering the problem?
Slide 109 (Answer) / 192
49 In a paper airplane contest, Marcel's plane travels 3.345
the measurements, whose plane traveled the farthest distance? On your paper, explain how you know. A Marcel
Derived from( (
B Salvador
Slide 110 / 192
49 In a paper airplane contest, Marcel's plane travels 3.345
the measurements, whose plane traveled the farthest distance? On your paper, explain how you know. A Marcel
Derived from( (
B Salvador
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Answer
B
If you have struggling students, this is a good
"think, pair, share." This will provide students with a platform to learn from each other.
Slide 110 (Answer) / 192
Ordering Decimals
· Line up all of the decimal points · Put zeros in wherever digits are missing · Compare the digits, from left to right · The largest digit, having the same place value, names the largest number Example: 910.800 085.007 910.801 911.900 085.070 What digit tells us this is the largest number? 1 Why is this the smallest number? Compare the digits
clickSlide 111 / 192
50 The number with the least value is:
A
61.005
B
61.3
C
61.05
D
61.04
Slide 112 / 192
50 The number with the least value is:
A
61.005
B
61.3
C
61.05
D
61.04
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Answer
A Slide 112 (Answer) / 192
51 The number with the least value is: A 0.005 B 0.5 C 0.05 D 0.0005
Slide 113 / 192
51 The number with the least value is: A 0.005 B 0.5 C 0.05 D 0.0005
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Answer
D Slide 113 (Answer) / 192
52 The number with the greatest value is: A 9.888 B 9.8 C 9.008 D 9.088
Slide 114 / 192
52 The number with the greatest value is: A 9.888 B 9.8 C 9.008 D 9.088
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Answer
A Slide 114 (Answer) / 192
53 The number with the greatest value is: A 0.67 B 0.067 C 0.0067 D 0.00067
Slide 115 / 192
53 The number with the greatest value is: A 0.67 B 0.067 C 0.0067 D 0.00067
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Answer
A Slide 115 (Answer) / 192
54 How much money would you like to win?
A
$150.59
B
$140.99
C
$150.82
D
$140.50
Slide 116 / 192
54 How much money would you like to win?
A
$150.59
B
$140.99
C
$150.82
D
$140.50
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Answer
C Slide 116 (Answer) / 192
55 Using the following digits, create the largest number you can between 0 and 1.
1 7 2 , , , Slide 117 / 192
55 Using the following digits, create the largest number you can between 0 and 1.
1 7 2 , , ,
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Answer
.7210 Slide 117 (Answer) / 192
56 Using the following digits, create the smallest number you can between 0 and 1.
1 7 2 , , , Slide 118 / 192
56 Using the following digits, create the smallest number you can between 0 and 1.
1 7 2 , , ,
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Answer
.0127 Slide 118 (Answer) / 192
Order the numbers from least to greatest. Move the numbers to put them in order.
Ordering Decimals
15 1.5 0.015 0.15
Slide 119 / 192
Order the numbers from least to greatest. Move the numbers to put them in order.
Ordering Decimals
15 1.5 0.015 0.15
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Math Practice
MP.5 - Use appropriate tools strategically. Ask students to share their method for comparing the numbers. Did they use mental math, a place value chart, lining up the decimals without needing a chart. Ask: What strategy did you use? Could you do this mentally?
Slide 119 (Answer) / 192
Order the numbers from greatest to least. Move the numbers to put them in order.
Ordering Decimals
0.709 0.009 0.68 0.08 0.07
Slide 120 / 192
57 Which of the following is ordered least to greatest? A 0.3, 0.03, 0.33, 3.3 B 0.03, 0.3, 0.33, 3.3 C 0.03, 0.33, 0.3, 3.3
Slide 121 / 192
57 Which of the following is ordered least to greatest? A 0.3, 0.03, 0.33, 3.3 B 0.03, 0.3, 0.33, 3.3 C 0.03, 0.33, 0.3, 3.3
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Answer
B Slide 121 (Answer) / 192
58 Which of the following is ordered least to greatest? A 0.008, 0.06, 0.5 B 0.5, 0.06, 0.008 C 0.06, 0.5, 0.008
Slide 122 / 192
58 Which of the following is ordered least to greatest? A 0.008, 0.06, 0.5 B 0.5, 0.06, 0.008 C 0.06, 0.5, 0.008
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Answer
A Slide 122 (Answer) / 192
59 Which of the following is ordered greatest to least? A 8.07, 0.008, 0.087, 0.87 B 0.008, 0.087, 0.87, 8.07 C 8.07, 0.87, 0.087, 0.008
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59 Which of the following is ordered greatest to least? A 8.07, 0.008, 0.087, 0.87 B 0.008, 0.087, 0.87, 8.07 C 8.07, 0.87, 0.087, 0.008
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Answer
C Slide 123 (Answer) / 192
60 Which of the following is not correct? A 0.23 > 0.08 > 0.009 B 0.23 > 0.009 > 0.08 C 0.009 < 0.08 < 0.23
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60 Which of the following is not correct? A 0.23 > 0.08 > 0.009 B 0.23 > 0.009 > 0.08 C 0.009 < 0.08 < 0.23
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Answer
B Slide 124 (Answer) / 192
61 Which of the following is correct? A 0.8 < 0.32 < 0.41 < 0.701 B 0.8 > 0.701 > 0.41 > 0.32 C 0.32 > 0.41 > 0.701 > 0.8
Slide 125 / 192
61 Which of the following is correct? A 0.8 < 0.32 < 0.41 < 0.701 B 0.8 > 0.701 > 0.41 > 0.32 C 0.32 > 0.41 > 0.701 > 0.8
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Answer
B Slide 125 (Answer) / 192
62 In a paper airplane contest, Marcel's plane travels 3.345
plane travels 3.3 meters. Based on the measurements, who won the contest? On your paper, explain your answer. A Marcel B Salvador
Derived from( (
C Jennifer
Slide 126 / 192
62 In a paper airplane contest, Marcel's plane travels 3.345
plane travels 3.3 meters. Based on the measurements, who won the contest? On your paper, explain your answer. A Marcel B Salvador
Derived from( (
C Jennifer
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Answer
B
If you have struggling students, this is a good
"think, pair, share." This will provide students with a platform to learn from each other.
Slide 126 (Answer) / 192
Return to Table
Round Numbers to Designated Place Values
Slide 127 / 192
line.
The dotted line shows the halfway mark between 0 and 10. Instructions for the next slide: This can be repeated six times.
Number Line Investigation Slide 128 / 192
10
Number Line Investigation Slide 129 / 192
10
Number Line Investigation
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Math Practice
MP.8 - Look for and express regularity in repeated reasoning. Student think, pair, share. Ask: What rule can you use to determine whether any given number is closer to 0 or 10? After share-out. Ask: How can you use this to tackle similar problems?
Slide 129 (Answer) / 192
Rounding makes numbers easier to work with in your head. · Rounded numbers are only approximate. · An exact answer generally can not be obtained using rounded numbers. · Use rounding to get an answer that is close and does not have to be exact.
Rounding Slide 130 / 192
Look to the right.
Yes OR No
Increases by 1 OR remains the same
Those digits always remain the same.
Those digits become zero.
Round 8,749 to the nearest ten.
Review
Slide 131 / 192
Look to the right.
Yes OR No
Increases by 1 OR remains the same
Those digits always remain the same.
Those digits become zero.
Round 8,749 to the nearest ten.
Review
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Teacher Notes
Move pencil under the digit that is being rounded to
Slide 131 (Answer) / 192
Round 8,749 to the nearest hundred.
Review
Look to the right.
Yes OR No
Increases by 1 OR remains the same
Those digits always remain the same.
Those digits become zero.
Slide 132 / 192
Round 8,749 to the nearest hundred.
Review
Look to the right.
Yes OR No
Increases by 1 OR remains the same
Those digits always remain the same.
Those digits become zero.
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Teacher Notes
Move pencil under the digit that is being rounded to
Slide 132 (Answer) / 192
63 Round
143 to the nearest ten.
Slide 133 / 192
63 Round
143 to the nearest ten.
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Answer
140 Slide 133 (Answer) / 192
64 Round
4,561 to the nearest hundred.
Slide 134 / 192
64 Round
4,561 to the nearest hundred.
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Answer
4,600 Slide 134 (Answer) / 192
65 Round
564,012 to the nearest
hundred thousand.
Slide 135 / 192
65 Round
564,012 to the nearest
hundred thousand.
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Answer
600,000 Slide 135 (Answer) / 192
66 Round
7,399 to the nearest thousand.
Slide 136 / 192
66 Round
7,399 to the nearest thousand.
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Answer
7,000 Slide 136 (Answer) / 192
67 Round
63,752 to the nearest hundred.
Slide 137 / 192
67 Round
63,752 to the nearest hundred.
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Answer
63,800 Slide 137 (Answer) / 192
What happens in this case? Round 697 to the nearest ten. The 7 to the right of the 9 tells us to increase the 9 by 1. What happens? Answer ____________
Rounding Slide 138 / 192
68 Round 3,972 to the nearest hundred.
Slide 139 / 192
68 Round 3,972 to the nearest hundred.
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Answer
4,000 Slide 139 (Answer) / 192
69 Round 98 to the nearest ten.
Slide 140 / 192
69 Round 98 to the nearest ten.
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Answer
100 Slide 140 (Answer) / 192
70 Round 399,238 to the nearest ten thousand.
Slide 141 / 192
70 Round 399,238 to the nearest ten thousand.
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Answer
400,000 Slide 141 (Answer) / 192
71 Round 9,521 to the nearest thousand.
Slide 142 / 192
71 Round 9,521 to the nearest thousand.
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Answer
10,000 Slide 142 (Answer) / 192
72 Round 9,983 to the nearest hundred.
Slide 143 / 192
72 Round 9,983 to the nearest hundred.
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Answer
10,000 Slide 143 (Answer) / 192
shows the halfway mark between 1 and 2. Instructions for the next slide: This can be repeated six times.
Number Line Investigation Slide 144 / 192
1 2 Think, Pair, Share: What rule can you use to determine whether any given number is closer to 1 or to 2?
Number Line Investigation Slide 145 / 192
Let's learn how to round decimals using the following examples: Round 687.268 to the nearest tenths place. When rounding decimals, put your pencil point under the place value that you are rounding to DO NOT MOVE IT
687.268
Rounding Decimals Slide 146 / 192
place. Look to the right.
Yes OR No
Increases by 1 OR remains the same
place? Those digits always remain the same.
Round 687.268 to the nearest tenth. Slide 147 / 192
Remember, we are rounding. The place values to the right of the tenths place have zero value, so now the digits 6 and 8 become zeroes. 687.300 = 687.3 However we leave the zeros off when they are at the end of a number to the right of the decimal point.
Rounding Decimals Slide 148 / 192
Look to the right.
Yes OR No
Increases by 1 OR remains the same
Those digits always remain the same.
Those digits become zero (and we leave them
Round 8.73258 to the hundredths place. Slide 149 / 192
Slide 150 / 192
Try this: Round 687.4953 to the nearest hundredths place Answer: 687.50
Click to reveal
Rounding Practice Slide 151 / 192
73 Round 6874.6479 to the nearest hundredth.
Slide 152 / 192
73 Round 6874.6479 to the nearest hundredth.
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Answer
6874.65 Slide 152 (Answer) / 192
74 Round 6874.6479 to the nearest ten.
Slide 153 / 192
74 Round 6874.6479 to the nearest ten.
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Answer
6870 Slide 153 (Answer) / 192
75 Round 6874.6479 to the nearest hundred.
Slide 154 / 192
75 Round 6874.6479 to the nearest hundred.
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Answer
6,900 Slide 154 (Answer) / 192
76 Round 6874.6479 to the nearest tenth.
Slide 155 / 192
76 Round 6874.6479 to the nearest tenth.
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Answer
6874.6 Slide 155 (Answer) / 192
77 Round 6874.6479 to the nearest thousand.
Slide 156 / 192
77 Round 6874.6479 to the nearest thousand.
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Answer
7,000 Slide 156 (Answer) / 192
78 Round 6874.6479 to the nearest thousandth.
Slide 157 / 192
78 Round 6874.6479 to the nearest thousandth.
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Answer
6874.648 Slide 157 (Answer) / 192
When rounding to a specific place, your answer MUST have a digit in that place. Example: Round 23.97 to the nearest tenth Answer: 24.0 There must be a digit in the tenths place, since we were to round to the tenths place.
Caution! Slide 158 / 192
79 Round 678.97 to the nearest tenth.
Slide 159 / 192
79 Round 678.97 to the nearest tenth.
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Answer
679.0 Slide 159 (Answer) / 192
80 Round 6.304 to the nearest hundredth.
Slide 160 / 192
80 Round 6.304 to the nearest hundredth.
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Answer
6.30 Slide 160 (Answer) / 192
81 Round 5.03 to the nearest tenth.
Slide 161 / 192
81 Round 5.03 to the nearest tenth.
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Answer
5.0 Slide 161 (Answer) / 192
82 Round 0.3497 to the nearest thousandth.
Slide 162 / 192
82 Round 0.3497 to the nearest thousandth.
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Answer
0.350 Slide 162 (Answer) / 192
83 Round 84.951 to the nearest tenth.
Slide 163 / 192
83 Round 84.951 to the nearest tenth.
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Answer
85.0 Slide 163 (Answer) / 192
84 A decimal number has two digits to the right of its decimal
18.6. What is the maximum possible value of this decimal? On your paper, use words and the number line to explain your reasoning.
Problem derived from( (
Slide 164 / 192
84 A decimal number has two digits to the right of its decimal
18.6. What is the maximum possible value of this decimal? On your paper, use words and the number line to explain your reasoning.
Problem derived from( (
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Answer
18.64 Slide 164 (Answer) / 192
85 A decimal number has two digits to the right of its decimal
18.6. What is the minimum possible value of this decimal? On your paper, use words and the number line to explain your reasoning.
Problem derived from( (
Slide 165 / 192
85 A decimal number has two digits to the right of its decimal
18.6. What is the minimum possible value of this decimal? On your paper, use words and the number line to explain your reasoning.
Problem derived from( (
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Answer
18.55 Slide 165 (Answer) / 192
86 Jules reads that one pint is equivalent to 0.473 liters. He asks his teacher how many liters there are in a pint. His teacher responds that there are about 0.47 liters in a
0.5 liters in a pint. Who is correct? On your paper, explain your answer. A His teacher B His parents
Problem derived from( (
C Both of them
Slide 166 / 192
86 Jules reads that one pint is equivalent to 0.473 liters. He asks his teacher how many liters there are in a pint. His teacher responds that there are about 0.47 liters in a
0.5 liters in a pint. Who is correct? On your paper, explain your answer. A His teacher B His parents
Problem derived from( (
C Both of them
[This object is a pull tab]
Answer
A
Consider having students write their explanations, submit their answers, then pair-share with a partner or their group, before discussing it as a class. Or have them choose a corner of the room (assign a letter to each of 3 corners) and justify their answer. Students can then persuade each
Slide 166 (Answer) / 192
87 Rainfall collected in a rain gauge was found to be 3.4 cm when rounded to the nearest tenth of a centimeter. Select all the measurements below that could be the actual measurement of the rainfall. A 3.251 cm B 3.349 cm C 3.352 cm D 3.295 cm
Slide 167 / 192
87 Rainfall collected in a rain gauge was found to be 3.4 cm when rounded to the nearest tenth of a centimeter. Select all the measurements below that could be the actual measurement of the rainfall. A 3.251 cm B 3.349 cm C 3.352 cm D 3.295 cm
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Answer
C Slide 167 (Answer) / 192
88 Annual rainfall total for cities in New York are listed below. Rochester 0.97 meters Ithaca 0.947 meters Saratoga Springs 1.5 meters New York City 1.268 meters Round the smallest total rainfall to the nearest tenth.
Derived from( (
Slide 168 / 192
88 Annual rainfall total for cities in New York are listed below. Rochester 0.97 meters Ithaca 0.947 meters Saratoga Springs 1.5 meters New York City 1.268 meters Round the smallest total rainfall to the nearest tenth.
Derived from( (
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Answer
0.9 meters Slide 168 (Answer) / 192
Drag and drop one number into each box. When you are finished, the number inside each box should match the number below the box when rounded to the nearest hundredth.
Drag and Drop
From PARCC EOY sample test #6
Slide 169 / 192
Use rounding to estimate answers to problems. At a restaurant, a burger is $5.99, fries are $3.85 and a small drink is $1.29. Round to the nearest dollar to estimate the cost to purchase all three items. Cost Estimate $5.99 $6 $3.85 $4 $1.29 $1 It would cost about $11 to purchase all three items.
Estimating Answers Slide 170 / 192
89 Round the following items, to the nearest dollar, to figure out the approximate cost if all of the items were bought.
pens $2.99 pencils $2.20 book bag $15.75
Slide 171 / 192
89 Round the following items, to the nearest dollar, to figure out the approximate cost if all of the items were bought.
pens $2.99 pencils $2.20 book bag $15.75
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Answer
$3+$2+$16 =$21.00 Slide 171 (Answer) / 192
90 Round the following items to the nearest dollar to figure
jeans $24.99 t-shirt $6.79 hat $12.31
Slide 172 / 192
90 Round the following items to the nearest dollar to figure
jeans $24.99 t-shirt $6.79 hat $12.31
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Answer
$25+$7+$12 =$44.00 Slide 172 (Answer) / 192
91 Round the following items to the nearest dollar to figure
milk $3.79 bread $2.15 juice $2.40
Slide 173 / 192
91 Round the following items to the nearest dollar to figure
milk $3.79 bread $2.15 juice $2.40
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Answer
$4+$2+$2 = $8 Slide 173 (Answer) / 192
92 Round the following items to the nearest half dollar to figure out the approximate cost if all of the items were bought.
chicken $8.60 potatoes $2.45 peas $0.99
Slide 174 / 192
92 Round the following items to the nearest half dollar to figure out the approximate cost if all of the items were bought.
chicken $8.60 potatoes $2.45 peas $0.99
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Answer
$9.00+$2.50+$1.00 =$12.50 Slide 174 (Answer) / 192
93 Round the following items to the nearest half dollar to figure out the cost if all of the items were bought.
apples $4.60 bananas $1.90
Slide 175 / 192
93 Round the following items to the nearest half dollar to figure out the cost if all of the items were bought.
apples $4.60 bananas $1.90
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Answer
$5.00+$2.00+3.00= $10.00 Slide 175 (Answer) / 192
94 Round the following items to the nearest ten dollars to figure out the approximate cost if all of the items were bought.
sneakers $36.21 sweatshirt $13.99 socks $6.00
Slide 176 / 192
94 Round the following items to the nearest ten dollars to figure out the approximate cost if all of the items were bought.
sneakers $36.21 sweatshirt $13.99 socks $6.00
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Answer
$40.00+$10.00+$10.00= $60.00 Slide 176 (Answer) / 192
95 Round the following items to the nearest hundred dollars to figure out the approximate cost if all of the items were bought.
computer$688.23 printer $213.50 desk $175.89
Slide 177 / 192
95 Round the following items to the nearest hundred dollars to figure out the approximate cost if all of the items were bought.
computer$688.23 printer $213.50 desk $175.89
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Answer
$700+$200+$200= $1100 Slide 177 (Answer) / 192
96 Which numbers show 1,034.17 rounded correctly to different place values? Select the three correct answers. A 1,000 B 1,030 C 1,035 D 1,100 E 1,034.1 F 1.034.2
From PARCC PBA sample test #12 Part B
Slide 178 / 192
96 Which numbers show 1,034.17 rounded correctly to different place values? Select the three correct answers. A 1,000 B 1,030 C 1,035 D 1,100 E 1,034.1 F 1.034.2
From PARCC PBA sample test #12 Part B
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Answer
A, B, F Slide 178 (Answer) / 192
Return to Table
Glossary & Standards
Slide 179 / 192
Return to Table
Glossary & Standards
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Teacher Notes
Vocabulary Words are bolded in the presentation. The text box the word is in is then linked to the page at the end
word defined on it.
Slide 179 (Answer) / 192
Standards for Mathematical Practices MP8 Look for and express regularity in repeated reasoning. MP1 Make sense of problems and persevere in solving them. MP2 Reason abstractly and quantitatively. MP3 Construct viable arguments and critique the reasoning of others. MP4 Model with mathematics. MP5 Use appropriate tools strategically. MP6 Attend to precision. MP7 Look for and make use of structure.
Click on each standard to bring you to an example of how to meet this standard within the unit.
Slide 180 / 192
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A Decimal Number (based on the number 10, tenth parts, and powers of ten) contains a Decimal Point.
Decimal Number
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Expanded Form
When a number is written as a sum of the value of each digit.
0.456= 0.4 + 0.05 + 0.006
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Greater Than
A symbol that shows that the number on the left is larger than the number on the right. .4 > .2
four tenths is greater than two tenths
the alligator eats the bigger number
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0.01
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Hundredths
A part of one whole that has been divided into 100 equal parts. Also, a part of one tenth that has been divided into 10 equal parts.
0.01
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Inequality
A number statement that shows that two numbers are not equal. .4 > .2
four tenths is greater than two tenths
.2 < .4
two tenths is less than four tenths
.2 = .4
two tenths is not equal to four tenths
Slide 185 / 192
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Less Than
A symbol that shows that the number on the left is smaller than the number on the right.
the alligator will not eat the smaller #
.2 < .4
two tenths is less than four tenths
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Place Value
The value of a digit depending
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Standard Form
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Standard form is the way we usually see numbers written, using digits, commas and a period when needed.
2.35
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0.1
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Tenths
A part of one whole that has been divided into 10 equal parts.
0.3
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Thousandths
A part of one whole that has been divided into 1,000 equal parts. Also, a part of one tenth that has been divided into 100 equal parts, and a part of one hundredth that has been divided into 10 equal parts.
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Slide 190 / 192
$2.99 for 16 oz 18.7 for 1 oz
(1 unit) Unit
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Unit
A unit is used to describe one of something. In place value, a unit is the ones place.
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Word Form
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Word form is a number written using words instead of digits, commas, and a period when needed.
$3.44
three dollars and forty-four cents 8:24pm Eight twenty-four pm
3.45
three and forty-five hundredths
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