Lesson 2 Decimals as fractions (1) - - PowerPoint PPT Presentation

Lesson 2 – Decimals as fractions (1)

https://whiterosemaths.com/homelearning/year-5/ explanation videos available here.

Let’s remember what we did yesterday.

Let’s remember what we did yesterday.

Today we are moving on to think about how we can represent decimals as fractions. If you remember that 0.1 = , then what fraction is 0.4 equivalent to? If you remember that 0.01 = , then what fraction is 0.67 equivalent to?

Today we are going to be thinking about how we can represent decimals as fractions. If you remember that 0.1 = , then what fraction is 0.4 equivalent to? If you remember that 0.01 = , then what fraction is 0.67 equivalent to?

This hundred square represents 1 whole. How many parts does it have? What is the value of each square?

This hundred square represents 1 whole. How many parts does it have? What is the value of each square?

a) What fraction is represented by the shaded squares? b) What would this fraction be as a decimal?

a) What fraction is represented by the shaded squares? b) What would this fraction be as a decimal?

Ones (O) Tenths (t) Hundredths (h)

7

If there were any Ones, all the squares would be shaded. If there were any tenths, ten squares would be shaded.

Colour the grid to represent the fraction and the decimal. How many squares would you need to share for each?

Colour the grid to represent the fraction and the decimal. How many squares would you need to share for each?

What fractions and decimals do the counters represent? fraction = decimal =

What fractions and decimals do the counters represent? fraction = decimal = 0.05

What fractions and decimals do the counters represent? fraction = decimal =

What fractions and decimals do the counters represent? fraction = decimal = 0.07

What fractions and decimals do the counters represent? fraction = decimal =

What fractions and decimals do the counters represent? fraction = decimal = 0.4

Amir has coloured part of the hundred square. What fraction is represented by the coloured squares? Write this fraction in a different way. Write this fraction as a decimal.

Amir has coloured part of the hundred square. What fraction is represented by the coloured squares?

• seventy of the one hundred parts are

shaded Write this fraction in a different way. This could also be

• because there are

seven columns of tens shaded, if you view the shape as having ten parts. Write this fraction as a decimal.

0.7

Huan says he has coloured 0.5

• f the hundred square.

Explain the mistake that he has made.

Huan says he has coloured 0.5

• f the hundred square.

Explain the mistake that he has made.

Huan has coloured in 5 squares and each

• ne is worth
• so he has shaded
• . This

would be 0.05 because there are no tenths and five hundredths. If 0.5 was shaded, then 50 of the squares would be shaded. This would be half of the squares, because 0.5 is half of a whole.

Write <, > or = to complete the statements.

0.3 0.01 0.7

Write <, > or = to complete the statements.

0.3 0.01 0.7

Write <, > or = to complete the statements.

0.4 0.99 0.99

Write <, > or = to complete the statements.

0.4 0.99 0.99

As you can convert tenths to decimals, you can convert fifths to tenths, and then to decimals! Complete the table. Fifths Tenths Decimals

0.2

As you can convert tenths to decimals, you can convert fifths to tenths, and then to decimals! Complete the table. Fifths Tenths Decimals

0.2

Complete the part-whole models using fractions or decimals.

0.3

Complete the part-whole models using fractions or decimals.

0.3 0.1

Here is a number line. Draw arrows from the numbers to show their place on the line. 0.4 0.75 0.25 1.0

Here is a number line. Draw arrows from the numbers to show their place on the line. 0.4 0.75 0.25 1.0

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

Half way between 0.7 and 0.8 Like 75 between 70 and 80 Half way between 0.2 and 0.3 Like 25 between 20 and 30