did you know indices are also referred to as exponents
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? Did you know? Indices are also referred to as Exponents This is - PowerPoint PPT Presentation

Jan 31, 2024 β€’741 likes β€’924 views

? Did you know? Indices are also referred to as Exponents This is where exponential graphs come from! AE Version 2.0 11/09/18. Indices 1 Simplify the following: 1 3 8 = 2 = 1. 5. 16 9 8 2. 9 = 6. What is the reciprocal of

  2. ? Did you know? Indices are also referred to as Exponents This is where exponential graphs come from! AE Version 2.0 11/09/18.

  3. Indices 1 Simplify the following: 1 𝑦 3 Γ— 𝑦 8 = 2 = 1. 5. 16 9 8 2. 9 = 6. What is the reciprocal of 16? What is 4 βˆ’3 ? 2 3 5 = 7. 3. 4 4 Γ— 4 βˆ’1 2 ? 4. 8. What is 4 2 3 = 5 AE Version 2.0 11/09/18.

  4. Indices 1 Solutions on the next slide…. AE Version 2.0 11/09/18.

  5. Indices 1 Solutions Simplify the following: 1 𝑦 3 Γ— 𝑦 8 = 𝑦 11 2 = 1. 5. 16 16 = 4 9 8 9 7 2. 9 = 6. What is the reciprocal of 16? 1 16 4 3 = 1 1 4 βˆ’3 = 2 3 5 = 7. 2 15 3. 64 βˆ’1 4 4 Γ— 4 4 2 3 = 4 5 2 = 5 4 6 = 4 βˆ’1 = 1 4. 8. 5 2 4 Unsure about any of these? Search Laws of indices . Next try Skills check 2…. AE Version 2.0 11/09/18.

  6. Indices 2 Simplify the following: 1 𝑒 5 Γ— 𝑒 4 = 3 = 1. 5. 8 8 7 𝑧 0 = 2. 8 2 = 6. What is 3 βˆ’4 ? 3 4 2 = 7. 3. 5 7 Γ— 5 βˆ’2 2 What is 4. 8. 5 3 3 = 3 You can do this for fun - or move on if you correctly completed Skills check 1. AE Version 2.0 11/09/18.

  7. Indices 2 Solutions on the next slide…. AE Version 2.0 11/09/18.

  8. Indices 2 Solutions Simplify the following: 1 3 8 = 2 𝑒 5 Γ— 𝑒 4 = 𝑒 9 3 = 1. 5. 8 8 7 𝑧 0 = 1 8 2 = 8 5 2. 6. 3 4 = 1 1 3 βˆ’4 = 3 4 2 = 3 8 7. 3. 81 5 7 Γ— 5 βˆ’2 2 5 8 2 3 = 9 5 9 = 5 βˆ’1 = 1 4. 8. 5 3 3 = = 5 3 2 4 AE Version 2.0 11/09/18.

  9. Roots and Indices Maze Can you find the route to the opposite side of the table? β€’ Begin in the highlighted box β€’ Move horizontally or vertically one box at a time… no diagonal moves allowed! β€’ You may only land on boxes which are equivalent in value to the highlighted one Hint: What is the value of 2 6 AE Version 2.0 11/09/18.

  10. Roots and Indices Maze Solution on the next slide…. AE Version 2.0 11/09/18.

  11. Roots and Indices Maze Did you find the route to the opposite side of the table? AE Version 2.0 11/09/18.

  12. Matching Pairs Match each with their of the simplified expressions version 3 2 AE Version 2.0 11/09/18.

  13. Matching Pairs Solution on the next slide…. AE Version 2.0 11/09/18.

  14. Matching Pairs Solution 3 2 AE Version 2.0 11/09/18.

  15. Where does it belong? Five numbers are arranged in order from least to greatest 𝑦 , 𝑦 3 , 𝑦 4 , 𝑦 2 , 𝑦 0 Where does βˆ’π‘¦ βˆ’1 belong in the list above? Hint Solution AE Version 2.0 11/09/18.

  16. Still want more? Read how maths is used in different careers. For indices and exponential growth check out Population Dynamics , Epidemics Analysis and Carbon Dating in particular. Discover the power of indices! Here you will see how they could be used to knock down very tall buildings!! Watch this Numberphile video and learn how to impress friends and family by finding the fifth root of a number in the blink of an eye. AE Version 2.0 11/09/18.

  17. Contact the AMSP 01225 716 492 admin@amsp.org.uk amsp.org.uk Advanced_Maths AE Version 2.0 11/09/18.

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