Let’s solve each multiplication problem step by step. We’ll multiply the 3-digit number by the 2-digit number using standard multiplication (also called long multiplication). Remember: multiply by the ones digit first, then the tens digit, and add the results.
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Problem 1: 677 × 74
Step 1: Multiply 677 by 4 (ones place of 74)
677 × 4 = 2708
Step 2: Multiply 677 by 70 (tens place of 74 → 7 × 10)
677 × 7 = 4739 → then add a zero → 47390
Step 3: Add the two results
2708 + 47390 =
50098
✔ Check: 677 × 74 = 50098
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Problem 2: 254 × 68
Step 1: 254 × 8 = 2032
Step 2: 254 × 60 = 254 × 6 = 1524 → add zero → 15240
Step 3: 2032 + 15240 =
17272
✔ Check: 254 × 68 = 17272
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Problem 3: 620 × 50
This is easy — both end in zero!
620 × 50 = (62 × 5) × 100 = 310 × 100 =
31000
✔ Or: 620 × 5 = 3100 → add one more zero → 31000
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Problem 4: 610 × 71
Step 1: 610 × 1 = 610
Step 2: 610 × 70 = 610 × 7 = 4270 → add zero → 42700
Step 3: 610 + 42700 =
43310
✔ Check: 610 × 71 = 43310
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Problem 5: 567 × 20
Multiply by 2, then add a zero.
567 × 2 = 1134 → add zero →
11340
✔ Check: 567 × 20 = 11340
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Problem 6: 597 × 46
Step 1: 597 × 6 = 3582
Step 2: 597 × 40 = 597 × 4 = 2388 → add zero → 23880
Step 3: 3582 + 23880 =
27462
✔ Check: 597 × 46 = 27462
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Problem 7: 809 × 35
Step 1: 809 × 5 = 4045
Step 2: 809 × 30 = 809 × 3 = 2427 → add zero → 24270
Step 3: 4045 + 24270 =
28315
✔ Check: 809 × 35 = 28315
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Problem 8: 207 × 36
Step 1: 207 × 6 = 1242
Step 2: 207 × 30 = 207 × 3 = 621 → add zero → 6210
Step 3: 1242 + 6210 =
7452
✔ Check: 207 × 36 = 7452
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Problem 9: 255 × 52
Step 1: 255 × 2 = 510
Step 2: 255 × 50 = 255 × 5 = 1275 → add zero → 12750
Step 3: 510 + 12750 =
13260
✔ Check: 255 × 52 = 13260
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Final Answer:
1. 50098
2. 17272
3. 31000
4. 43310
5. 11340
6. 27462
7. 28315
8. 7452
9. 13260
Parent Tip: Review the logic above to help your child master the concept of math worksheet for 6.
