Let's solve each of these decimal multiplication problems step by step. The key to multiplying decimals is:
1.
Ignore the decimals and multiply as if they were whole numbers.
2.
Count the total number of decimal places in both numbers.
3.
Place the decimal point in the product so that it has the same number of decimal places.
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Problem 1: 1.1 × 1.3
Step 1: Multiply as whole numbers:
11 × 13 = 143
Step 2: Count decimal places:
- 1.1 has 1 decimal place
- 1.3 has 1 decimal place
→ Total: 2 decimal places
Step 3: Place the decimal:
143 → becomes
1.43
✔ Answer: 1.43
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Problem 2: 2.4 × 3.1
Step 1: 24 × 31 = 744
Step 2: Decimal places:
- 2.4 → 1
- 3.1 → 1
→ Total: 2 decimal places
Step 3: 744 →
7.44
✔ Answer: 7.44
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Problem 3: 4.5 × 5.3
Step 1: 45 × 53 = 2385
Step 2: Decimal places:
- 4.5 → 1
- 5.3 → 1
→ Total: 2 decimal places
Step 3: 2385 →
23.85
✔ Answer: 23.85
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Problem 4: 4.1 × 3.3
Step 1: 41 × 33 = 1353
Step 2: Decimal places:
- 4.1 → 1
- 3.3 → 1
→ Total: 2 decimal places
Step 3: 1353 →
13.53
✔ Answer: 13.53
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Problem 5: 5.4 × 2.1
Step 1: 54 × 21 = 1134
Step 2: Decimal places:
- 5.4 → 1
- 2.1 → 1
→ Total: 2 decimal places
Step 3: 1134 →
11.34
✔ Answer: 11.34
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Problem 6: 6.5 × 5.2
Step 1: 65 × 52 = 3380
Step 2: Decimal places:
- 6.5 → 1
- 5.2 → 1
→ Total: 2 decimal places
Step 3: 3380 →
33.80, which simplifies to
33.8
✔ Answer: 33.8
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✔ Final Answers:
1.
1.43
2.
7.44
3.
23.85
4.
13.53
5.
11.34
6.
33.8
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Parent Tip: Review the logic above to help your child master the concept of math worksheet multiplying decimals.