Factors, Powers And Standard Form Worksheet Page 2
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2110.1
Multiples
Keywords
multiple, lowest
Why learn this
Objectives
common multiple
Astronomers use lowest
E
Solve problems involving multiples
(LCM), common
common multiples to
multiple
Find lowest common multiples
C
calculate when the
Sun and Moon will be
Skills check
Skills check
aligned in an eclipse.
1 Without using a calculator, work out
1 Without using a calculator, work out
a 4 3 8
a 4 3 8
b 9 3 7
b 9 3 7
c 12 3 5
d 6 3 8
2 Write down the next two terms in each sequence.
a 4, 8, 12, 16, 20, …
b 27, 36, 45, 54, 63, …
Multiples
When a number is multiplied by a whole number the answer is a multiple of the fi rst number.
The multiples of a number are the answers in its times table.
The multiples of 5 are 5, 10, 15, 20, 25, …
‘Is divisible by …’ means
All the multiples of a number are divisible by that number.
‘can be divided exactly by …’
Example 1
E
a
Write down the multiples of 7 between 50 and 60.
b
Is 84 a multiple of 3? Give a reason for your answer.
Use trial and improvement.
a 7 3 8 5 56
7 3 7 5 49
56 is the only multiple of 7
7 3 8 5 56
7 3 9 5 63
between 50 and 60.
If a number is divisible by 3
b Yes. 84 4 3 5 28
then it is a multiple of 3.
Exercise 10A
E
1
Write down three multiples of 9 that are larger than 100.
2
Write down a multiple of 12 between 80 and 90.
3
Is 412 a multiple of 3? Give a reason for your answer.
4
Write down all the numbers from the cloud which are
18
a
multiples of 10
35
70
52
b
multiples of 7.
21
90
60
20
26
10.1 Multiples
159
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