Sure! Let’s solve each of these 4-digit by 2-digit multiplication problems step by step. I’ll show the full calculation for each, using the standard algorithm (multiplying by each digit and adding the partial products).
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1) 1,492 × 45
Break it into:
1,492 × 5 = 7,460
1,492 × 40 = 59,680
Add them: 7,460 + 59,680 =
67,140
✔ Answer:
67,140
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2) 6,129 × 31
Break it into:
6,129 × 1 = 6,129
6,129 × 30 = 183,870
Add them: 6,129 + 183,870 =
189,999
✔ Answer:
189,999
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3) 3,267 × 56
Break it into:
3,267 × 6 = 19,602
3,267 × 50 = 163,350
Add them: 19,602 + 163,350 =
182,952
✔ Answer:
182,952
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4) 5,367 × 77
Break it into:
5,367 × 7 = 37,569
5,367 × 70 = 375,690
Add them: 37,569 + 375,690 =
413,259
✔ Answer:
413,259
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5) 1,731 × 22
Break it into:
1,731 × 2 = 3,462
1,731 × 20 = 34,620
Add them: 3,462 + 34,620 =
38,082
✔ Answer:
38,082
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6) 8,010 × 92
Break it into:
8,010 × 2 = 16,020
8,010 × 90 = 720,900
Add them: 16,020 + 720,900 =
736,920
✔ Answer:
736,920
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7) 4,432 × 19
Break it into:
4,432 × 9 = 39,888
4,432 × 10 = 44,320
Add them: 39,888 + 44,320 =
84,208
✔ Answer:
84,208
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8) 7,485 × 70
This is easier — just multiply by 7 and add a zero at the end.
7,485 × 7 = 52,395 → then ×10 →
523,950
✔ Answer:
523,950
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9) 2,058 × 94
Break it into:
2,058 × 4 = 8,232
2,058 × 90 = 185,220
Add them: 8,232 + 185,220 =
193,452
✔ Answer:
193,452
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✔ Final Answers:
1)
67,140
2)
189,999
3)
182,952
4)
413,259
5)
38,082
6)
736,920
7)
84,208
8)
523,950
9)
193,452
Let me know if you’d like to see any of the steps written out vertically like in the worksheet!
Parent Tip: Review the logic above to help your child master the concept of two digit by one digit multiplication.
