Subtracting 3-Digit Numbers using Expanded Form by Subtracting Each Place Value Separately
Subtracting 3-Digit Numbers using Expanded Form by Subtracting Each Place Value Separately
1. Subtract 374 from 597
Solution:
597 – 374
= (500 + 90 + 7) – (300 + 70 + 4)
= (500 - 300) + (90 - 70) + (7 - 4)
= 200 + 20 + 3
= 223
2. Subtract 426 from 748
Solution:
748 – 426
= (700 + 40 + 8) – (400 + 20 + 6)
= (700 - 400) + (40 - 20) + (8 - 6)
= 300 + 20 + 2
= 322
3. Subtract 545 from 899
Solution:
899 – 545
= (800 + 90 + 9) – (500 + 40 + 5)
= (800 - 500) + (90 - 40) + (9 - 5)
= 300 + 50 + 4
= 354
4. Subtract 506 from 798
Solution:
798 – 506
= (700 + 90 + 8) – (500 + 0 + 6)
= (700 - 500) + (90 - 0) + (8 - 6)
= 200 + 90 + 2
= 292
5. Subtract 352 from 684
Solution:
684 – 352
= (600 + 80 + 4) – (300 + 50 + 2)
= (600 - 300) + (80 - 50) + (4 - 2)
= 300 + 30 + 2
= 332
6. Subtract 214 from 763
Solution:
763 – 214
= (700 + 60 + 3) – (200 + 10 + 4)
= (700 - 200) + (60 - 10) + (3 - 4)
= 500 + 50 - 1
= 549
7. Subtract 431 from 975
Solution:
975 – 431
= (900 + 70 + 5) – (400 + 30 + 1)
= (900 - 400) + (70 - 30) + (5 - 1)
= 500 + 40 + 4
= 544
8. Subtract 623 from 857
Solution:
857 – 623
= (800 + 50 + 7) – (600 + 20 + 3)
= (800 - 600) + (50 - 20) + (7 - 3)
= 200 + 30 + 4
= 234
9. Subtract 724 from 853
Solution:
853 – 724
= (800 + 50 + 3) – (700 + 20 + 4)
= (800 + 40 + 13) – (700 + 20 + 4) [∵ 3 < 4]
= (800 - 700) + (40 - 20) + (13 - 4)
= 100 + 20 + 9
= 129
Or,
853 – 724
= (800 + 50 + 3) – (700 + 20 + 4)
= (800 - 700) + (50 - 20) + (3 - 4)
= 100 + 30 - 1
= 129
10. Subtract 139 from 867
Solution:
867 – 139
= (800 + 60 + 7) – (100 + 30 + 9)
= (800 + 50 + 17) – (100 + 30 + 9) [∵ 7 < 9]
= (800 - 100) + (50 - 30) + (17 - 9)
= 700 + 20 + 8
= 728
Or,
867 – 139
= (800 + 60 + 7) – (100 + 30 + 9)
= (800 - 100) + (60 - 30) + (7 - 9)
= 700 + 30 - 2
= 728
11. Subtract 564 from 755
Solution:
755 – 564
= (700 + 50 + 5) – (500 + 60 + 4)
= (600 + 150 + 5) – (500 + 60 + 4) [∵ 50 < 60]
= (600 - 500) + (150 - 60) + (5 - 4)
= 100 + 90 + 1
= 191
Or,
755 – 564
= (700 + 50 + 5) – (500 + 60 + 4)
= (700 - 500) + (50 - 60) + (5 - 4)
= 200 - 10 + 1
= 191
12. Subtract 345 from 524
Solution:
524 – 345
= (500 + 20 + 4) – (300 + 40 + 5)
= (500 + 10 + 14) – (300 + 40 + 5) [∵ 4 < 5]
= (400 + 110 + 14) – (300 + 40 + 5) [∵ 10 < 40]
= (400 - 300) + (110 - 40) + (14 - 5)
= 100 + 70 + 9
= 179
Or,
524 – 345
= (500 + 20 + 4) – (300 + 40 + 5)
= (500 - 300) + (20 - 40) + (4 - 5)
= 200 - 20 - 1
= 179
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