Grade B Index Notation Estimate powers and roots
Grade B Index Notation Estimate powers and roots If you have any questions regarding these resources or come across any errors, please contact helpful-report@pixl. org. uk
Key Vocabulary Square Cube Square root Cube root Power
How to estimate powers and roots a) = 3 x 3 x 3 = 81 b) = 2 x 2 = 8 c) = 5 x 5 x 5 = 3125 d) = 10 x 10 = 1000 Remember! It is 3 multiplied by itself 4 times. NOT! 3 x 4
How to estimate roots You must know your square numbers! a) 3 a) 4√ 81 b) 3√ 216 b) 6 c)The square root of 52 lies between which two integer values. Explain your answer. c) The square root of 52 lies between 5 and 6 (A 1) Because 5 x 5= 25 and 6 x 6 = 36 (C 1) d)The cube root of 30 lies between which two integers explain your answer? d) The cube root of 30 lies between 3 and 4 (A 1) Because 3 x 3 = 27 and 4 x 4=64 (C 1)
How to estimate powers and roots- using a calculator When you are not given integers raised to powers, you must use a calculator 1. Simplify a)3. 3⁴ 118. 5921 b)2. 7⁵ 143. 48907 c)5. 6⁶ 30840. 97946 d)1. 13 1. 331 e) 3√ 0. 015625 0. 25 f) 4√ 6561 9 g)6 -3 x 52 0. 1157407407
Now you try estimating powers and roots a) b) c) d)
Now you try estimating powers and roots a) 16 b) 125 c) 243 d) 1000000
Now you try estimating roots a) b) 4√ 1296 3√ 343 c) The square root of 105 lies between which two integer values. Explain your answer. d) The cube root of 120 lies between which two integers explain your answer?
Now you try estimating roots a) b) 4√ 1296 3√ 343 = 6 = 7 c) The square root of 105 lies between which two integer values. Explain your answer. The square root of 105 lies between 10 and 11 (A 1) Because 10 x 10= 100 and 11 x 11 = 121 (C 1) d) The cube root of 120 lies between which two integers explain your answer? The cube root of 120 lies between 4 and 5 (A 1) Because 4 x 4 = 64 and 5 x 5=125 (C 1)
Problem solving and reasoning Use these mathematical terms to complete the statements below cube root square root 4 is the ____of 16 36 is the ____ of 6 3 is the _____of 27 9 is the _______81 Work out the value of: a) 32 x 93 b)
Problem solving and reasoning Use these mathematical terms to complete the statements below cube root square root 4 is the square root of 16 36 is the square of 6 3 is the cube root of 27 9 is the square of 81 Work out the value of: a) 32 x 93 9 or 729 seen (M 1) 6561 (M 2) b)
Reasoning and explain • Give two integers, a power and a base number that have a value of 512 • Is the square root of a number always smaller than the number? • Do all numbers have a square root?
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