Patterns And Relations Worksheet - Grade 7 Page 3

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1.1
Patterns in Division
Focus
Explore divisibility by 2, 4, 5, 8,
and 10.
Which of these numbers are divisible by 2? By 5? By 10?
How do you know?
78
27
35
410
123
2100
4126
795
You will need a hundred chart numbered 301–400,
and three different coloured markers.
➤ Use a marker. Circle all numbers on
the hundred chart that are divisible by 2.
Use a different marker.
Circle all numbers that are divisible by 4.
Use a different marker.
Circle all numbers that are divisible by 8.
Describe the patterns you see
in the numbers you circled.
➤ Choose 3 numbers greater than 400.
Which of your numbers do you think are divisible by 2? By 4? By 8?
Why do you think so?
&
Reflect
Share
Share your work with another pair of classmates.
Suppose a number is divisible by 8.
What else can you say about the number?
Suppose a number is divisible by 4.
What else can you say about the number?
We know that 100 is divisible by 4: 100
4
25
So, any multiple of 100 is divisible by 4.
To find out if any whole number with 3 or more digits is divisible
by 4, we only need to check the last 2 digits.
6
UNIT 1: Patterns and Relations

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