Squares, Square Roots, Cube and Cube Roots

Question 13: (a) Find the value of  0.008 3 . (b) Calculate the value of  3 2 × − 64 27 3 . Solution: (a)  0.008 3 = 8 1000 3    = 2 10    =0.2 (b)  3 2 × − 64 27 3 = 9 3 ×− 4 3 =12 Question 14: (a) Find the value of  ( − 3 4 ) 3 . (b) Calculate the value of  2 10 … Read more

Question 9: Find the values of the following: (a) ( 9 + − 8 3 ) 2 (b) 144 ÷ 216 3 × 0.3 3   Solution: (a) ( 9 + − 8 3 ) 2 = [ 9 + ( − 2 ) ] 2 = 7 2 = 49 (b)  144 ÷ 216 … Read more

3.2.2 Squares, Square Roots, Cube and Cube Roots, PT3 Focus Practice Question 5: Complete the operation steps below by filling in the boxes using suitable numbers. 4 17 27 3 ÷ 1 9 16 = 27 3 ÷ 25 16    = 3 ÷ 5 4    = 3 × 4 5    = Solution: 4 17 27 … Read more

3.2.1 Squares, Square Roots, Cube and Cube Roots, PT3 Practice Question 1: Calculate the values of the following: (a) 50 98 (b) 1 17 64 (c) 81 − 0.01 (d) 3.24   Solution: (a) 50 98 = 50 25 98 49 = 25 49 = 5 7 (b) 1 17 64 = 81 64 = … Read more

3.1.2 Squares, Square Roots, Cube and Cube Roots (C) Square Roots 1. The square root of a positive number is a number multiplied by itself whose product is equal to the given number.   Example: (a) 169 = 13 × 13 = 13 (b) 25 64 = 5 × 5 8 × 8 = 5 … Read more

3.1.1 Squares, Square Roots, Cube and Cube Roots   (A) Squares The square of a number is the answer you get when you multiply a number by itself. Example: (a) 132 = 13 × 13 = 169 (b)   (–10)2 = (–10) × (–10) = 100 (c) (0.4)2 = 0.4 × 0.4 = 0.16 (d)   (–0.06)2 = (–0.06) × … Read more