Let’s solve each multiplication problem step by step. We’ll multiply the numbers as if they were whole numbers first, then count how many decimal places are in both numbers together — that tells us where to put the decimal point in the answer.
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Problem 1: 1.1 × 1.3
Step 1: Ignore decimals → 11 × 13
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: Put decimal in answer → 1.43
✔ Answer:
1.43
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Problem 2: 2.4 × 3.1
Step 1: 24 × 31
24 × 30 = 720
24 × 1 = 24
720 + 24 = 744
Step 2: Decimal places
2.4 → 1
3.1 → 1
Total = 2
Step 3: Answer → 7.44
✔ Answer:
7.44
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Problem 3: 4.5 × 5.3
Step 1: 45 × 53
Break it down:
45 × 50 = 2250
45 × 3 = 135
2250 + 135 = 2385
Step 2: Decimal places
4.5 → 1
5.3 → 1
Total = 2
Step 3: Answer → 23.85
✔ Answer:
23.85
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Problem 4: 4.1 × 3.3
Step 1: 41 × 33
41 × 30 = 1230
41 × 3 = 123
1230 + 123 = 1353
Step 2: Decimal places
4.1 → 1
3.3 → 1
Total = 2
Step 3: Answer → 13.53
✔ Answer:
13.53
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Problem 5: 5.4 × 2.1
Step 1: 54 × 21
54 × 20 = 1080
54 × 1 = 54
1080 + 54 = 1134
Step 2: Decimal places
5.4 → 1
2.1 → 1
Total = 2
Step 3: Answer → 11.34
✔ Answer:
11.34
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Problem 6: 6.5 × 5.2
Step 1: 65 × 52
65 × 50 = 3250
65 × 2 = 130
3250 + 130 = 3380
Step 2: Decimal places
6.5 → 1
5.2 → 1
Total = 2
Step 3: Answer → 33.80 → which is same as
33.8
✔ Answer:
33.8
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Final Answer:
1. 1.43
2. 7.44
3. 23.85
4. 13.53
5. 11.34
6. 33.8
Parent Tip: Review the logic above to help your child master the concept of 5th grade math worksheet multiplying decimals.