Patterns And Relations Worksheet - Grade 7 Page 5
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46Example
Which numbers are divisible by 5? By 8? Both by 5 and by 8?
How do you know?
12, 24, 35, 56, 80, 90, 128, 765, 1048, 1482, 3960, 15 019
A Solution
Any number with 0 or 5 in the ones place is divisible by 5.
So, the numbers divisible by 5 are: 35, 80, 90, 765, 3960
The divisibility rule for 8 only applies when a number is 1000 or greater.
For numbers less than 1000, use mental math or a calculator.
All multiples of 8 are even, so reject 35, 765, and 15 019.
Use mental math to identify that 12 and 90 are not divisible by 8.
Use mental math to identify that 24, 56, 80, and 128 are divisible by 8.
1048 and 3960 are divisible by 8 because 48 and 960 are divisible by 8.
1482 is not divisible by 8 because 482 is not divisible by 8.
We can display the results in a Venn diagram.
Divisible by 5
Divisible by 8
24
35
80
56
90
128
3960
765
1048
12
1482
15 019
The numbers in the overlapping region are divisible both by 5 and by 8.
So, 80 and 3960 are also divisible by 40, since 5
8
40.
Which numbers are divisible by 2? By 5?
1.
How do you know?
a) 106
b) 465
c) 2198
d) 215
e) 1399
f) 4530
Explain why a number with 0 in the ones place is divisible by 10.
2.
8
UNIT 1: Patterns and Relations
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