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2

Complete each of the following: The square root of
(a) 9 × 9 = 81 (b) 32 = 1 024 a number could
2


Thus 81 = × Thus 1 024 = be a positive or a
negative value.
= =
(–5) × (–5) = 25

Is 25 = –5 true?
CHAPTER



 2
3 (a) 81 = 9 × 9 (b) 1 024 = 32 Discuss the
= 9 = 32 statement above.
Self Practice 3.1b
1. Copy and complete each of the following:
(a) 5 × 5 = 25 (b) 8 × 8 = 64 (c) 24 = 576
2
Thus, Thus, Thus,
25 =
576 =
64 =
 ×  × 
= = =
How do you determine the square of a number? LEARNING
STANDARDS
We can determine the square of a number by multiplying the
number by itself. Determine the square
of a number with
3 and without using
technological tools.
Find the value of each of the following without using
a calculator.
3
2
(a) 6 2 (b) 1 2 2 (c) (– 0.5)
4

3
3
2
2
(a) 6 = 6 × 6 (b) 1 2 2 = × 3 (c) (– 0.5) = (– 0.5) × (– 0.5)
= 36 4 4 4 = 0.25
= 9
16
4

Find the value of each of the following by using a calculator.
1
7
2
(a) 43 2 (b) – 13 2 2 (c) 2.96

(a) 43 = 1 849 Press 4 3 x = Think Smart
2
2
1
(b) – 7 2 2 = 49 Press ( (–) 7 a c 1 3 ) x = What is the largest
2
b
13 169 square number that
2
(c) 2.96 = 8.7616 Press 2 · 9 6 x = is less than 200?
2
52
Chapter 3

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