Patterns And Relations Worksheet - Grade 7 Page 7
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461.2
More Patterns in Division
Focus
Explore divisibility by 0, 3, 6, and 9.
Division can be thought of
as making equal groups.
For 20
4, we make 4 equal groups of 5.
Use a calculator.
➤ Choose 10 different numbers.
Divide each number by 0.
What do you notice?
What do you think this means?
➤ Choose 15 consecutive 2-digit numbers.
Divide each number by 3 and by 9.
Repeat for 15 consecutive 3-digit numbers.
List the numbers that were divisible by 3 and by 9.
Find the sum of the digits of each number.
What do you notice?
Choose 4 different 4-digit numbers you think are divisible by 3 and by 9.
Divide each number by 3 and by 9 to check.
Add the digits in each number. What do you notice?
➤ Draw this Venn diagram.
Divisible by 2
Divisible by 3
Sort these numbers.
12 21 42 56 88 135 246 453 728
What can you say about the numbers
in the overlapping region?
&
Reflect
Share
Share your work with another pair of classmates.
Explain how to choose a 4-digit number that is divisible by 3.
Without dividing, how can you tell if a number is divisible by 6? By 9?
Why do you think a number cannot be divided by 0?
10
UNIT 1: Patterns and Relations
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