Name:
Date:
Lesson 1.5 Cubes and Cube Roots
Multiply.
1. 1 3 1 3 1 5
2. 2 3 2 3 2 5
3. 3 3 3 3 3 5
4. 4 3 4 3 4 5
5. 5 3 5 3 5 5
6. 6 3 6 3 6 5
7. 7 3 7 37 5
8. 8 3 8 3 8 5
9. 9 3 9 3 9 5
10. 10 3 10 3 10 5
11. 11 3 11 3 11 5
12. 12 3 12 3 12 5
Find the cube of each number.
Example
4
To find the cube of
a number, multiply
the number by itself
three times.
4 543434
5 64
So, the cube of 4 is 64.
3
14. 16
153 5
3
3
163 5
5
So, the cube of 15 is
15. 17
30
3
3
5
.
So, the cube of 16 is
16. 20
.
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Name:
Date:
Find the cube root of each number.
Example
316
Method 1
6 3 6 3 6 5 216
So, 3 216 5 6.
Method 2
To find the cube root of a number,
you may use prime factorization,
apply the Communicative Property
of Multiplication, and rewrite the
expression using an exponent.
216
2 · 108
2 · 2 · 54
216 5 2 · 2 · 2 · 3 · 3 · 3
5 (2 · 3) · (2 · 3) · (2 · 3)
5 (2 · 3)3
5 63
So, 3 216 5 2 · 3
5 6.
2 · 2 · 2 · 27
2 · 2 · 2 · 3 · 9
2 · 2 · 2 · 3 · 3 · 3
17. 3,375
Method 2
Method 1
3,375 5 3 
© Marshall Cavendish International (Singapore) Private Limited.
3
3
5 (3  5) (
5(
5
53,375
So, 3 3, 375 5

2,197
) (




3
19.

5,832
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)
)3

So, 3 3, 375 5
18.
5 
31
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Name:
Date:
Simplify.
20. 3 3 4 1 (50 2 12)
21. 15 3 (36 4 9) 2 18
22. (52 2 30) 1 6 3 4
23. (18 1 82) 2 5 3 8
Find the value of each of the following.
Example
24. 73 1 82
72 – 23
72 5 7 3 7
5 49
3
2 523232
58
2
7 2 23 5 49 2 8
5 41
73 5 7 3
3
5
82 5 8 3
5
73 1 82 5
+
25. (62 1 53) 3 32
26. 93 3 22 4 62
27. 83 1 42
28. 72 3 (33 2 32)
32
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