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Multiplying Decimals by a Whole Number with Models - Elementary ... - Free Printable

Multiplying Decimals by a Whole Number with Models - Elementary ...

Educational worksheet: Multiplying Decimals by a Whole Number with Models - Elementary .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Multiplying Decimals by a Whole Number with Models - Elementary ...
Let’s solve each problem step by step. We’re multiplying whole numbers by decimals, and we can think of it as repeated addition or using place value.

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Problem 1: 2 × 0.06

Think: 0.06 is 6 hundredths. So 2 groups of 6 hundredths = 12 hundredths → 0.12

Check: 2 × 6 = 12 → move decimal two places left → 0.12

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Problem 2: 7 × 0.01

0.01 is one hundredth. 7 × 1 hundredth = 7 hundredths → 0.07

Check: 7 × 1 = 7 → move decimal two places left → 0.07

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Problem 3: 3 × 0.02

0.02 is 2 hundredths. 3 × 2 = 6 → so 6 hundredths → 0.06

Check: 3 × 2 = 6 → move decimal two places left → 0.06

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Problem 4: 2 × 0.32

Break it down:
0.32 = 32 hundredths
2 × 32 = 64 → so 64 hundredths → 0.64

Or: 2 × 0.3 = 0.6; 2 × 0.02 = 0.04 → total = 0.6 + 0.04 = 0.64

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Problem 5: 2 × 0.4

0.4 is 4 tenths. 2 × 4 = 8 → so 8 tenths → 0.8

Check: 2 × 4 = 8 → move decimal one place left → 0.8

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Problem 6: 4 × 0.03

0.03 is 3 hundredths. 4 × 3 = 12 → 12 hundredths → 0.12

Check: 4 × 3 = 12 → move decimal two places left → 0.12

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Problem 7: 4 × 0.2

0.2 is 2 tenths. 4 × 2 = 8 → 8 tenths → 0.8

Check: 4 × 2 = 8 → move decimal one place left → 0.8

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Problem 8: 3 × 0.19

0.19 = 19 hundredths
3 × 19 = 57 → so 57 hundredths → 0.57

Check: 3 × 0.1 = 0.3; 3 × 0.09 = 0.27 → 0.3 + 0.27 = 0.57

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Problem 9: 8 × 0.05

0.05 is 5 hundredths. 8 × 5 = 40 → 40 hundredths → 0.40, which simplifies to 0.4

Check: 8 × 5 = 40 → move decimal two places left → 0.40 = 0.4

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Final Answer:
1. 0.12
2. 0.07
3. 0.06
4. 0.64
5. 0.8
6. 0.12
7. 0.8
8. 0.57
9. 0.4
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals and whole numbers worksheet.
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