Number operation review 1 pps

36 6 because 62 36 36 is the square of 6, so 6 is the square root of 36.

Practice Question

Which of the following is equivalent to 196 ?

a. 13

b. 14

c. 15

d. 16

e. 17

Answer

b. 196 14 because 14  14 196.

Perfect Squares

The square root of a number might not be a whole number. For example, there is not a whole number that can

be multiplied by itself to equal 8. 8 2.8284271 ....

A whole number is a perfect square if its square root is also a whole number:

1 is a perfect square because 1 1

4 is a perfect square because 4 2

9 is a perfect square because 9 3

16 is a perfect square because 16 4

25 is a perfect square because 25 5

36 is a perfect square because 36 6

49 is a perfect square because 49 7

Practice Question

Which of the following is a perfect square?

a. 72

b. 78

c. 80

d. 81

e. 88

Answer

d. Answer choices a, b, c, and e are incorrect because they are not perfect squares. The square root of a

perfect square is a whole number; 72 ≈ 8.485; 78 ≈ 8.832; 80 ≈ 8.944; 88 ≈ 9.381; 81 is a per￾fect square because 81 9.

–NUMBERS AND OPERATIONS REVIEW–

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