Let's solve each addition problem using
expanded form, breaking down the numbers into hundreds (H), tens (T), and ones (O), then adding each place value separately.
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1. 233 + 474
*(Given as example)*
- H: 200 + 400 = 600
- T: 30 + 70 = 100
- O: 3 + 4 = 7
→ 600 + 100 + 7 =
707
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2. 193 + 324
Break down:
- 193 = 100 + 90 + 3
- 324 = 300 + 20 + 4
Now add by place:
-
H: 100 + 300 =
400
-
T: 90 + 20 =
110
-
O: 3 + 4 =
7
Now sum:
→ 400 + 110 + 7 =
517
✔ Final answer:
517
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3. 175 + 228
Break down:
- 175 = 100 + 70 + 5
- 228 = 200 + 20 + 8
Add by place:
-
H: 100 + 200 =
300
-
T: 70 + 20 =
90
-
O: 5 + 8 =
13
Now sum:
→ 300 + 90 + 13 =
403
✔ Final answer:
403
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4. 541 + 286
Break down:
- 541 = 500 + 40 + 1
- 286 = 200 + 80 + 6
Add by place:
-
H: 500 + 200 =
700
-
T: 40 + 80 =
120
-
O: 1 + 6 =
7
Now sum:
→ 700 + 120 + 7 =
827
✔ Final answer:
827
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5. 445 + 346
Break down:
- 445 = 400 + 40 + 5
- 346 = 300 + 40 + 6
Add by place:
-
H: 400 + 300 =
700
-
T: 40 + 40 =
80
-
O: 5 + 6 =
11
Now sum:
→ 700 + 80 + 11 =
791
✔ Final answer:
791
---
6. 119 + 385
Break down:
- 119 = 100 + 10 + 9
- 385 = 300 + 80 + 5
Add by place:
-
H: 100 + 300 =
400
-
T: 10 + 80 =
90
-
O: 9 + 5 =
14
Now sum:
→ 400 + 90 + 14 =
504
✔ Final answer:
504
---
7. 523 + 384
Break down:
- 523 = 500 + 20 + 3
- 384 = 300 + 80 + 4
Add by place:
-
H: 500 + 300 =
800
-
T: 20 + 80 =
100
-
O: 3 + 4 =
7
Now sum:
→ 800 + 100 + 7 =
907
✔ Final answer:
907
---
8. 667 + 328
Break down:
- 667 = 600 + 60 + 7
- 328 = 300 + 20 + 8
Add by place:
-
H: 600 + 300 =
900
-
T: 60 + 20 =
80
-
O: 7 + 8 =
15
Now sum:
→ 900 + 80 + 15 =
995
✔ Final answer:
995
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##
✔ Final Answers Summary:
| Problem | Expanded Form | Sum |
|--------|----------------|-----|
| 193 + 324 | H: 100+300=400, T: 90+20=110, O: 3+4=7 → 400+110+7 |
517 |
| 175 + 228 | H: 100+200=300, T: 70+20=90, O: 5+8=13 → 300+90+13 |
403 |
| 541 + 286 | H: 500+200=700, T: 40+80=120, O: 1+6=7 → 700+120+7 |
827 |
| 445 + 346 | H: 400+300=700, T: 40+40=80, O: 5+6=11 → 700+80+11 |
791 |
| 119 + 385 | H: 100+300=400, T: 10+80=90, O: 9+5=14 → 400+90+14 |
504 |
| 523 + 384 | H: 500+300=800, T: 20+80=100, O: 3+4=7 → 800+100+7 |
907 |
| 667 + 328 | H: 600+300=900, T: 60+20=80, O: 7+8=15 → 900+80+15 |
995 |
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Parent Tip: Review the logic above to help your child master the concept of expanded addition worksheet.