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2.2.2 Squares, Square Roots, Cube and Cube Roots, PT3 Focus Practice

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2.2.2 Squares, Square Roots, Cube and Cube Roots, PT3 Focus Practice

Question 6:
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 3 ÷ 1 9 16 = 125 27 3 ÷ 25 16 = 5 3 ÷ 5 4 = 5 3 × 4 5 = 4 3


Question 7:
Complete the operation steps below by filling in the boxes using suitable numbers.
( 2 7 9 − 27 64 3 ) 2 = ( 9 − 3 ) 2 = ( 12 ) 2 =

Solution:
( 2 7 9 − 27 64 3 ) 2 = ( 25 9 − 3 4 ) 2 = ( 5 3 − 3 4 ) 2 = ( ( 5 × 4 ) − ( 3 × 3 ) 12 ) 2 = ( 11 12 ) 2 = 121 144


Question 8:
Complete the operation steps below by filling in the boxes using suitable numbers.
1 61 64 3 − 0.3 2 = 64 3 − 0.3 2 = 4 − =

Solution:
1 61 64 3 − 0.3 2 = 125 64 3 − 0.3 2 = 5 4 − 0.09 = 1.25 − 0.09 = 1.16


Question 9:
Find the value of:
(a) 10 27 − 5 3 (b) 4 49 × − 0.216 3  

Solution:
(a) 10 27 − 5 3 = 10 − 135 27 3 = − 125 27 3 = − 5 3

(b) 4 49 × − 0.216 3 = 2 7 × 216 1000 3 = 2 7 × 6 5 10 = 6 35