Addition with 5 and 6 digit numbers worksheet for math practice.
A worksheet for practicing addition with 5 and 6 digit numbers, featuring multiple problems arranged in a grid format with space for answers.
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Show Answer Key & Explanations
Step-by-step solution for: Addition Worksheets - Worksheet Digital
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Show Answer Key & Explanations
Step-by-step solution for: Addition Worksheets - Worksheet Digital
Let’s solve each addition problem step by step. We’ll add the numbers column by column, starting from the right (ones place) and moving left, carrying over when needed.
---
Problem 1:
```
6 2 1 8 8
3 5 0 6 5 0
4 9 3 9 1
+ 2 5 9 2 0 4
---------------
```
Align them properly:
```
6 2 1 8 8
3 5 0 6 5 0
4 9 3 9 1
+ 2 5 9 2 0 4
----------------
```
Better to write with same digit positions:
```
0 6 2 1 8 8
3 5 0 6 5 0
0 4 9 3 9 1
+ 2 5 9 2 0 4
----------------
```
Now add column by column from right:
- Ones: 8 + 0 + 1 + 4 = 13 → write 3, carry 1
- Tens: 8 + 5 + 9 + 0 + 1(carry) = 23 → write 3, carry 2
- Hundreds: 1 + 6 + 3 + 2 + 2(carry) = 14 → write 4, carry 1
- Thousands: 2 + 0 + 9 + 9 + 1(carry) = 21 → write 1, carry 2
- Ten thousands: 6 + 5 + 4 + 5 + 2(carry) = 22 → write 2, carry 2
- Hundred thousands: 0 + 3 + 0 + 2 + 2(carry) = 7
Result: 721,433
Wait — let me double-check alignment.
Actually, original numbers:
First number: 62188 → 5 digits
Second: 350650 → 6 digits
Third: 49391 → 5 digits
Fourth: 259204 → 6 digits
So align to right:
```
062188
350650
049391
+ 259204
-----------
```
Add:
Right to left:
Column 1 (ones): 8+0+1+4 = 13 → 3, carry 1
Column 2 (tens): 8+5+9+0 +1 = 23 → 3, carry 2
Column 3 (hundreds): 1+6+3+2 +2 = 14 → 4, carry 1
Column 4 (thousands): 2+0+9+9 +1 = 21 → 1, carry 2
Column 5 (ten thousands): 6+5+4+5 +2 = 22 → 2, carry 2
Column 6 (hundred thousands): 0+3+0+2 +2 = 7
→ 721,433
✔ Correct.
---
Problem 2:
```
7 1 7 8 5 6
1 8 5 2 1 5
5 4 8 3 8
+ 3 5 0 1 2 6
---------------
```
Align:
```
717856
185215
054838
+ 350126
----------
```
Add columns:
Ones: 6+5+8+6 = 25 → 5, carry 2
Tens: 5+1+3+2 +2 = 13 → 3, carry 1
Hundreds: 8+2+8+1 +1 = 20 → 0, carry 2
Thousands: 7+5+4+0 +2 = 18 → 8, carry 1
Ten thousands: 1+8+5+5 +1 = 20 → 0, carry 2
Hundred thousands: 7+1+0+3 +2 = 13 → 13
→ 1,308,035
Check:
717856
185215 → sum so far: 903,071
+54838 → 957,909
+350126 → 1,308,035 ✔
---
Problem 3:
```
4 0 3 6 0 5
6 2 3 4 2
5 2 1 7 3 4
+ 3 6 4 6 2 0
---------------
```
Align:
```
403605
062342
521734
+ 364620
----------
```
Ones: 5+2+4+0 = 11 → 1, carry 1
Tens: 0+4+3+2 +1 = 10 → 0, carry 1
Hundreds: 6+3+7+6 +1 = 23 → 3, carry 2
Thousands: 3+2+1+4 +2 = 12 → 2, carry 1
Ten thousands: 0+6+2+6 +1 = 15 → 5, carry 1
Hundred thousands: 4+0+5+3 +1 = 13 → 13
→ 1,352,301
Check:
403605 + 62342 = 465,947
+521734 = 987,681
+364620 = 1,352,301 ✔
---
Problem 4:
```
8 3 4 2 7
2 3 8 6 2 6
4 6 0 2 5 1
+ 5 6 2 5 6 3
---------------
```
Align:
```
083427
238626
460251
+ 562563
----------
```
Ones: 7+6+1+3 = 17 → 7, carry 1
Tens: 2+2+5+6 +1 = 16 → 6, carry 1
Hundreds: 4+6+2+5 +1 = 18 → 8, carry 1
Thousands: 3+8+0+2 +1 = 14 → 4, carry 1
Ten thousands: 8+3+6+6 +1 = 24 → 4, carry 2
Hundred thousands: 0+2+4+5 +2 = 13 → 13
→ 1,344,867
Check:
83427 + 238626 = 322,053
+460251 = 782,304
+562563 = 1,344,867 ✔
---
Problem 5:
```
6 3 1 0 3
9 3 2 6 8 2
1 7 0 1 1 2
+ 4 5 7 3 5 3
---------------
```
Align:
```
063103
932682
170112
+ 457353
----------
```
Ones: 3+2+2+3 = 10 → 0, carry 1
Tens: 0+8+1+5 +1 = 15 → 5, carry 1
Hundreds: 1+6+1+3 +1 = 12 → 2, carry 1
Thousands: 3+2+0+7 +1 = 13 → 3, carry 1
Ten thousands: 6+3+7+5 +1 = 22 → 2, carry 2
Hundred thousands: 0+9+1+4 +2 = 16 → 16
→ 1,623,250
Check:
63103 + 932682 = 995,785
+170112 = 1,165,897
+457353 = 1,623,250 ✔
---
Problem 6:
```
5 5 0 2 3 0
5 9 3 3 4
5 6 7 8 4 2
+ 7 5 5 0 3 4
---------------
```
Align:
```
550230
059334
567842
+ 755034
----------
```
Ones: 0+4+2+4 = 10 → 0, carry 1
Tens: 3+3+4+3 +1 = 14 → 4, carry 1
Hundreds: 2+3+8+0 +1 = 14 → 4, carry 1
Thousands: 0+9+7+5 +1 = 22 → 2, carry 2
Ten thousands: 5+5+6+5 +2 = 23 → 3, carry 2
Hundred thousands: 5+0+5+7 +2 = 19 → 19
→ 1,932,440
Check:
550230 + 59334 = 609,564
+567842 = 1,177,406
+755034 = 1,932,440 ✔
---
Problem 7:
```
5 7 7 4 0 3
7 9 1 1 3 7
6 3 4 4 5
+ 5 6 6 3 2 7
---------------
```
Align:
```
577403
791137
063445
+ 566327
----------
```
Ones: 3+7+5+7 = 22 → 2, carry 2
Tens: 0+3+4+2 +2 = 11 → 1, carry 1
Hundreds: 4+1+4+3 +1 = 13 → 3, carry 1
Thousands: 7+1+3+6 +1 = 18 → 8, carry 1
Ten thousands: 7+9+6+6 +1 = 29 → 9, carry 2
Hundred thousands: 5+7+0+5 +2 = 19 → 19
→ 1,998,312
Check:
577403 + 791137 = 1,368,540
+63445 = 1,431,985
+566327 = 1,998,312 ✔
---
Problem 8:
```
8 2 2 6 4 1
6 0 4 7 2
7 6 1 1 6 4
+ 3 0 6 6 4 7
---------------
```
Align:
```
822641
060472
761164
+ 306647
----------
```
Ones: 1+2+4+7 = 14 → 4, carry 1
Tens: 4+7+6+4 +1 = 22 → 2, carry 2
Hundreds: 6+4+1+6 +2 = 19 → 9, carry 1
Thousands: 2+0+1+6 +1 = 10 → 0, carry 1
Ten thousands: 2+6+6+0 +1 = 15 → 5, carry 1
Hundred thousands: 8+0+7+3 +1 = 19 → 19
→ 1,950,924
Check:
822641 + 60472 = 883,113
+761164 = 1,644,277
+306647 = 1,950,924 ✔
---
Final Answers:
1. 721,433
2. 1,308,035
3. 1,352,301
4. 1,344,867
5. 1,623,250
6. 1,932,440
7. 1,998,312
8. 1,950,924
──────────────────────────────────────
Final Answer:
721433, 1308035, 1352301, 1344867, 1623250, 1932440, 1998312, 1950924
---
Problem 1:
```
6 2 1 8 8
3 5 0 6 5 0
4 9 3 9 1
+ 2 5 9 2 0 4
---------------
```
Align them properly:
```
6 2 1 8 8
3 5 0 6 5 0
4 9 3 9 1
+ 2 5 9 2 0 4
----------------
```
Better to write with same digit positions:
```
0 6 2 1 8 8
3 5 0 6 5 0
0 4 9 3 9 1
+ 2 5 9 2 0 4
----------------
```
Now add column by column from right:
- Ones: 8 + 0 + 1 + 4 = 13 → write 3, carry 1
- Tens: 8 + 5 + 9 + 0 + 1(carry) = 23 → write 3, carry 2
- Hundreds: 1 + 6 + 3 + 2 + 2(carry) = 14 → write 4, carry 1
- Thousands: 2 + 0 + 9 + 9 + 1(carry) = 21 → write 1, carry 2
- Ten thousands: 6 + 5 + 4 + 5 + 2(carry) = 22 → write 2, carry 2
- Hundred thousands: 0 + 3 + 0 + 2 + 2(carry) = 7
Result: 721,433
Wait — let me double-check alignment.
Actually, original numbers:
First number: 62188 → 5 digits
Second: 350650 → 6 digits
Third: 49391 → 5 digits
Fourth: 259204 → 6 digits
So align to right:
```
062188
350650
049391
+ 259204
-----------
```
Add:
Right to left:
Column 1 (ones): 8+0+1+4 = 13 → 3, carry 1
Column 2 (tens): 8+5+9+0 +1 = 23 → 3, carry 2
Column 3 (hundreds): 1+6+3+2 +2 = 14 → 4, carry 1
Column 4 (thousands): 2+0+9+9 +1 = 21 → 1, carry 2
Column 5 (ten thousands): 6+5+4+5 +2 = 22 → 2, carry 2
Column 6 (hundred thousands): 0+3+0+2 +2 = 7
→ 721,433
✔ Correct.
---
Problem 2:
```
7 1 7 8 5 6
1 8 5 2 1 5
5 4 8 3 8
+ 3 5 0 1 2 6
---------------
```
Align:
```
717856
185215
054838
+ 350126
----------
```
Add columns:
Ones: 6+5+8+6 = 25 → 5, carry 2
Tens: 5+1+3+2 +2 = 13 → 3, carry 1
Hundreds: 8+2+8+1 +1 = 20 → 0, carry 2
Thousands: 7+5+4+0 +2 = 18 → 8, carry 1
Ten thousands: 1+8+5+5 +1 = 20 → 0, carry 2
Hundred thousands: 7+1+0+3 +2 = 13 → 13
→ 1,308,035
Check:
717856
185215 → sum so far: 903,071
+54838 → 957,909
+350126 → 1,308,035 ✔
---
Problem 3:
```
4 0 3 6 0 5
6 2 3 4 2
5 2 1 7 3 4
+ 3 6 4 6 2 0
---------------
```
Align:
```
403605
062342
521734
+ 364620
----------
```
Ones: 5+2+4+0 = 11 → 1, carry 1
Tens: 0+4+3+2 +1 = 10 → 0, carry 1
Hundreds: 6+3+7+6 +1 = 23 → 3, carry 2
Thousands: 3+2+1+4 +2 = 12 → 2, carry 1
Ten thousands: 0+6+2+6 +1 = 15 → 5, carry 1
Hundred thousands: 4+0+5+3 +1 = 13 → 13
→ 1,352,301
Check:
403605 + 62342 = 465,947
+521734 = 987,681
+364620 = 1,352,301 ✔
---
Problem 4:
```
8 3 4 2 7
2 3 8 6 2 6
4 6 0 2 5 1
+ 5 6 2 5 6 3
---------------
```
Align:
```
083427
238626
460251
+ 562563
----------
```
Ones: 7+6+1+3 = 17 → 7, carry 1
Tens: 2+2+5+6 +1 = 16 → 6, carry 1
Hundreds: 4+6+2+5 +1 = 18 → 8, carry 1
Thousands: 3+8+0+2 +1 = 14 → 4, carry 1
Ten thousands: 8+3+6+6 +1 = 24 → 4, carry 2
Hundred thousands: 0+2+4+5 +2 = 13 → 13
→ 1,344,867
Check:
83427 + 238626 = 322,053
+460251 = 782,304
+562563 = 1,344,867 ✔
---
Problem 5:
```
6 3 1 0 3
9 3 2 6 8 2
1 7 0 1 1 2
+ 4 5 7 3 5 3
---------------
```
Align:
```
063103
932682
170112
+ 457353
----------
```
Ones: 3+2+2+3 = 10 → 0, carry 1
Tens: 0+8+1+5 +1 = 15 → 5, carry 1
Hundreds: 1+6+1+3 +1 = 12 → 2, carry 1
Thousands: 3+2+0+7 +1 = 13 → 3, carry 1
Ten thousands: 6+3+7+5 +1 = 22 → 2, carry 2
Hundred thousands: 0+9+1+4 +2 = 16 → 16
→ 1,623,250
Check:
63103 + 932682 = 995,785
+170112 = 1,165,897
+457353 = 1,623,250 ✔
---
Problem 6:
```
5 5 0 2 3 0
5 9 3 3 4
5 6 7 8 4 2
+ 7 5 5 0 3 4
---------------
```
Align:
```
550230
059334
567842
+ 755034
----------
```
Ones: 0+4+2+4 = 10 → 0, carry 1
Tens: 3+3+4+3 +1 = 14 → 4, carry 1
Hundreds: 2+3+8+0 +1 = 14 → 4, carry 1
Thousands: 0+9+7+5 +1 = 22 → 2, carry 2
Ten thousands: 5+5+6+5 +2 = 23 → 3, carry 2
Hundred thousands: 5+0+5+7 +2 = 19 → 19
→ 1,932,440
Check:
550230 + 59334 = 609,564
+567842 = 1,177,406
+755034 = 1,932,440 ✔
---
Problem 7:
```
5 7 7 4 0 3
7 9 1 1 3 7
6 3 4 4 5
+ 5 6 6 3 2 7
---------------
```
Align:
```
577403
791137
063445
+ 566327
----------
```
Ones: 3+7+5+7 = 22 → 2, carry 2
Tens: 0+3+4+2 +2 = 11 → 1, carry 1
Hundreds: 4+1+4+3 +1 = 13 → 3, carry 1
Thousands: 7+1+3+6 +1 = 18 → 8, carry 1
Ten thousands: 7+9+6+6 +1 = 29 → 9, carry 2
Hundred thousands: 5+7+0+5 +2 = 19 → 19
→ 1,998,312
Check:
577403 + 791137 = 1,368,540
+63445 = 1,431,985
+566327 = 1,998,312 ✔
---
Problem 8:
```
8 2 2 6 4 1
6 0 4 7 2
7 6 1 1 6 4
+ 3 0 6 6 4 7
---------------
```
Align:
```
822641
060472
761164
+ 306647
----------
```
Ones: 1+2+4+7 = 14 → 4, carry 1
Tens: 4+7+6+4 +1 = 22 → 2, carry 2
Hundreds: 6+4+1+6 +2 = 19 → 9, carry 1
Thousands: 2+0+1+6 +1 = 10 → 0, carry 1
Ten thousands: 2+6+6+0 +1 = 15 → 5, carry 1
Hundred thousands: 8+0+7+3 +1 = 19 → 19
→ 1,950,924
Check:
822641 + 60472 = 883,113
+761164 = 1,644,277
+306647 = 1,950,924 ✔
---
Final Answers:
1. 721,433
2. 1,308,035
3. 1,352,301
4. 1,344,867
5. 1,623,250
6. 1,932,440
7. 1,998,312
8. 1,950,924
──────────────────────────────────────
Final Answer:
721433, 1308035, 1352301, 1344867, 1623250, 1932440, 1998312, 1950924
Parent Tip: Review the logic above to help your child master the concept of addition worksheet fifth grade.