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Worksheet on division patterns involving zeros, using known facts to solve related problems.

Math worksheet from SplashLearn titled "Patterns of Zero in Division" showing four division problems with missing answers, each using a given fact to find the next related fact.

Math worksheet from SplashLearn titled "Patterns of Zero in Division" showing four division problems with missing answers, each using a given fact to find the next related fact.

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Show Answer Key & Explanations Step-by-step solution for: Use Patterns of Zero to Divide - Math Worksheets - SplashLearn
Let’s solve each problem step by step using the pattern of zeros in division.

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First pair:

We know:
32 ÷ 8 = 4

Now look at:
320 ÷ 8 = ?

Notice that 320 is just 32 with a zero added at the end — that means it’s 10 times bigger.
So if 32 ÷ 8 = 4, then 320 ÷ 8 should be 10 times bigger too → 4 × 10 = 40

Check: 8 × 40 = 320 → Correct!

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Second pair:

We know:
21 ÷ 3 = 7

Now:
210 ÷ 3 = ?

210 is 21 with a zero added → 10 times bigger.
So answer is 7 × 10 = 70

Check: 3 × 70 = 210 → Correct!

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Third pair:

We know:
72 ÷ 8 = 9

Now:
7200 ÷ 8 = ?

7200 is 72 with two zeros added → that’s 100 times bigger (because 10 × 10 = 100).
So answer is 9 × 100 = 900

Check: 8 × 900 = 7200 → Correct!

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Fourth pair:

We know:
600 ÷ 10 = 60

Now:
6000 ÷ 10 = ?

6000 is 600 with one more zero → 10 times bigger.
So answer is 60 × 10 = 600

Check: 10 × 600 = 6000 → Correct!

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Final Answer:
40
70
900
600
Parent Tip: Review the logic above to help your child master the concept of zero in the quotient worksheet.
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