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How do you determine the cube of a number?
LEARNING
STANDARDS
11 Determine the cube
of a number with
Find the value of each of the following without using and without using
a calculator. technological tools. CHAPTER
1
3
3
(a) 4 (b) 0.2 (c) – 3 2 3
5
3

3
(a) 4 = 4 × 4 × 4
= 64
The cube of a positive
3
(b) 0.2 = 0.2 × 0.2 × 0.2 number is always a
= 0.008 positive value whereas
the cube of a negative
1
1
× –
× –
(c) – 3 2 3 = – 3 2 1 3 2 1 3 2 number is always a
5 5 5 5 negative value.
27
= –
125
12

Find the value of each of the following using a calculator.
1
3
(a) 18 (b) – 4 1 2 3 (c) (– 6.3) 3
2

3
(a) 18 = 5 832 Press 1 8 x =
3
1
1
(b) – 4 1 2 3 = –91 Press ( (–) 4 a c 1 a c 2 ) x =
3
b
b
2 8
3
3
(c) (– 6.3) = –250.047 Press ( (–) 6 · 3 ) x =
Self Practice 3.2c

1. Determine the value of each of the following without using a calculator.
1
1 2
(a) 6 (b) (–7) 3 (c) – 2 2 3 (d) (– 0.3) 3 (e) 2 3 3
3
9 5
2. Find the value of each of the following using a calculator.
3
1 2
1
3
(a) 26 (b) (–5.1) 3 (c) 1 2 3 (d) –1 7 2 3 (e) 4 4 3
10 11 5

63
Squares, Square Roots, Cubes and Cube Roots

03 TB Math F1.indd 63 11/10/16 12:09 PM