Adding Decimals Worksheet 5th Grade - Free Printable
Educational worksheet: Adding Decimals Worksheet 5th Grade. Download and print for classroom or home learning activities.
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Step-by-step solution for: Adding Decimals Worksheet 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Adding Decimals Worksheet 5th Grade
Let’s go through each problem step by step. We’re adding decimals, so we line up the decimal points and add column by column from right to left, carrying over when needed.
---
Problem 1:
```
1928.27
+ 4293.55
---------
```
Start from hundredths: 7 + 5 = 12 → write 2, carry 1
Tenths: 2 + 5 + 1 (carry) = 8
Ones: 8 + 3 = 11 → write 1, carry 1
Tens: 2 + 9 + 1 = 12 → write 2, carry 1
Hundreds: 9 + 2 + 1 = 12 → write 2, carry 1
Thousands: 1 + 4 + 1 = 6
→ 6221.82
✔ Matches given answer.
---
Problem 2:
```
2094.06
+ 1837.75
---------
```
Hundredths: 6 + 5 = 11 → write 1, carry 1
Tenths: 0 + 7 + 1 = 8
Ones: 4 + 7 = 11 → write 1, carry 1
Tens: 9 + 3 + 1 = 13 → write 3, carry 1
Hundreds: 0 + 8 + 1 = 9
Thousands: 2 + 1 = 3
→ 3931.81
✔ Matches.
---
Problem 3:
```
7382.59
+ 823.68
---------
```
Align decimals:
```
7382.59
+ 0823.68
---------
```
Hundredths: 9 + 8 = 17 → write 7, carry 1
Tenths: 5 + 6 + 1 = 12 → write 2, carry 1
Ones: 2 + 3 + 1 = 6
Tens: 8 + 2 = 10 → write 0, carry 1
Hundreds: 3 + 8 + 1 = 12 → write 2, carry 1
Thousands: 7 + 0 + 1 = 8
→ 8206.27
✔ Matches.
---
Problem 4:
```
6308.72
+ 1839.80 ← note: 1839.8 is same as 1839.80
---------
```
Hundredths: 2 + 0 = 2
Tenths: 7 + 8 = 15 → write 5, carry 1
Ones: 8 + 9 + 1 = 18 → write 8, carry 1
Tens: 0 + 3 + 1 = 4
Hundreds: 3 + 8 = 11 → write 1, carry 1
Thousands: 6 + 1 + 1 = 8
→ 8148.52
✔ Matches.
---
Problem 5:
```
8250.95
+ 2839.47
---------
```
Hundredths: 5 + 7 = 12 → write 2, carry 1
Tenths: 9 + 4 + 1 = 14 → write 4, carry 1
Ones: 0 + 9 + 1 = 10 → write 0, carry 1
Tens: 5 + 3 + 1 = 9
Hundreds: 2 + 8 = 10 → write 0, carry 1
Thousands: 8 + 2 + 1 = 11 → write 11
→ 11090.42
✔ Matches.
---
Problem 6:
```
8372.80 ← 8372.8 = 8372.80
+ 497.49
---------
```
Hundredths: 0 + 9 = 9
Tenths: 8 + 4 = 12 → write 2, carry 1
Ones: 2 + 7 + 1 = 10 → write 0, carry 1
Tens: 7 + 9 + 1 = 17 → write 7, carry 1
Hundreds: 3 + 4 + 1 = 8
Thousands: 8 + 0 = 8
→ 8870.29
✔ Matches.
---
Problem 7:
```
9382.63
+ 6308.85
---------
```
Hundredths: 3 + 5 = 8
Tenths: 6 + 8 = 14 → write 4, carry 1
Ones: 2 + 8 + 1 = 11 → write 1, carry 1
Tens: 8 + 0 + 1 = 9
Hundreds: 3 + 3 = 6
Thousands: 9 + 6 = 15 → write 15
→ 15691.48
✔ Matches.
---
Problem 8:
```
3028.29
+ 8240.75
---------
```
Hundredths: 9 + 5 = 14 → write 4, carry 1
Tenths: 2 + 7 + 1 = 10 → write 0, carry 1
Ones: 8 + 0 + 1 = 9
Tens: 2 + 4 = 6
Hundreds: 0 + 2 = 2
Thousands: 3 + 8 = 11 → write 11
→ 11269.04
✔ Matches.
---
Problem 9:
```
7385.68
+ 8297.90 ← 8297.9 = 8297.90
---------
```
Hundredths: 8 + 0 = 8
Tenths: 6 + 9 = 15 → write 5, carry 1
Ones: 5 + 7 + 1 = 13 → write 3, carry 1
Tens: 8 + 9 + 1 = 18 → write 8, carry 1
Hundreds: 3 + 2 + 1 = 6
Thousands: 7 + 8 = 15 → write 15
→ 15683.58
✔ Matches.
---
Problem 10:
```
670.138
+ 185.372
---------
```
Thousandths: 8 + 2 = 10 → write 0, carry 1
Hundredths: 3 + 7 + 1 = 11 → write 1, carry 1
Tenths: 1 + 3 + 1 = 5
Ones: 0 + 5 = 5
Tens: 7 + 8 = 15 → write 5, carry 1
Hundreds: 6 + 1 + 1 = 8
→ 855.510
✔ Matches.
---
Problem 11:
```
139.743
+ 382.108
---------
```
Thousandths: 3 + 8 = 11 → write 1, carry 1
Hundredths: 4 + 0 + 1 = 5
Tenths: 7 + 1 = 8
Ones: 9 + 2 = 11 → write 1, carry 1
Tens: 3 + 8 + 1 = 12 → write 2, carry 1
Hundreds: 1 + 3 + 1 = 5
→ 521.851
✔ Matches.
---
Problem 12:
```
738.138
+ 82.527
---------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 3 + 2 + 1 = 6
Tenths: 1 + 5 = 6
Ones: 8 + 2 = 10 → write 0, carry 1
Tens: 3 + 8 + 1 = 12 → write 2, carry 1
Hundreds: 7 + 0 + 1 = 8
→ 820.665
✔ Matches.
---
Problem 13:
Three numbers:
```
7362.84
2831.27
+ 1093.35
---------
```
Add first two:
7362.84 + 2831.27 = ?
Hundredths: 4+7=11 → 1, carry 1
Tenths: 8+2+1=11 → 1, carry 1
Ones: 2+1+1=4
Tens: 6+3=9
Hundreds: 3+8=11 → 1, carry 1
Thousands: 7+2+1=10 → 10
→ 10194.11
Now add 1093.35:
10194.11 + 1093.35
Hundredths: 1+5=6
Tenths: 1+3=4
Ones: 4+3=7
Tens: 9+9=18 → 8, carry 1
Hundreds: 1+0+1=2
Thousands: 0+1=1
Ten-thousands: 1
→ 11287.46
✔ Matches.
---
Problem 14:
```
6038.08
3942.75
+ 1903.24
---------
```
First: 6038.08 + 3942.75
Hundredths: 8+5=13 → 3, carry 1
Tenths: 0+7+1=8
Ones: 8+2=10 → 0, carry 1
Tens: 3+4+1=8
Hundreds: 0+9=9
Thousands: 6+3=9
→ 9980.83
Now +1903.24:
9980.83 + 1903.24
Hundredths: 3+4=7
Tenths: 8+2=10 → 0, carry 1
Ones: 0+3+1=4
Tens: 8+0=8
Hundreds: 9+9=18 → 8, carry 1
Thousands: 9+1+1=11 → 1, carry 1
Ten-thousands: 1
→ 11884.07
✔ Matches.
---
Problem 15:
```
7263.80 ← 7263.8
1980.25
+ 328.75
---------
```
First: 7263.80 + 1980.25
Hundredths: 0+5=5
Tenths: 8+2=10 → 0, carry 1
Ones: 3+0+1=4
Tens: 6+8=14 → 4, carry 1
Hundreds: 2+9+1=12 → 2, carry 1
Thousands: 7+1+1=9
→ 9244.05
Now +328.75:
9244.05 + 328.75
Hundredths: 5+5=10 → 0, carry 1
Tenths: 0+7+1=8
Ones: 4+8=12 → 2, carry 1
Tens: 4+2+1=7
Hundreds: 2+3=5
Thousands: 9
→ 9572.80
✔ Matches.
---
Problem 16:
```
368.473
129.806
+ 255.324
---------
```
Add first two:
368.473 + 129.806
Thousandths: 3+6=9
Hundredths: 7+0=7
Tenths: 4+8=12 → 2, carry 1
Ones: 8+9+1=18 → 8, carry 1
Tens: 6+2+1=9
Hundreds: 3+1=4
→ 498.279
Now +255.324:
498.279 + 255.324
Thousandths: 9+4=13 → 3, carry 1
Hundredths: 7+2+1=10 → 0, carry 1
Tenths: 2+3+1=6
Ones: 8+5=13 → 3, carry 1
Tens: 9+5+1=15 → 5, carry 1
Hundreds: 4+2+1=7
→ 753.603
✔ Matches.
---
Problem 17:
```
7380.26
582.85
+ 1632.09
---------
```
First: 7380.26 + 582.85
Hundredths: 6+5=11 → 1, carry 1
Tenths: 2+8+1=11 → 1, carry 1
Ones: 0+2+1=3
Tens: 8+8=16 → 6, carry 1
Hundreds: 3+5+1=9
Thousands: 7
→ 7963.11
Now +1632.09:
7963.11 + 1632.09
Hundredths: 1+9=10 → 0, carry 1
Tenths: 1+0+1=2
Ones: 3+2=5
Tens: 6+3=9
Hundreds: 9+6=15 → 5, carry 1
Thousands: 7+1+1=9
→ 9595.20 → written as 9595.2
✔ Matches.
---
Problem 18:
```
8925.37
5248.81
+ 794.36
---------
```
First: 8925.37 + 5248.81
Hundredths: 7+1=8
Tenths: 3+8=11 → 1, carry 1
Ones: 5+8+1=14 → 4, carry 1
Tens: 2+4+1=7
Hundreds: 9+2=11 → 1, carry 1
Thousands: 8+5+1=14 → 4, carry 1
Ten-thousands: 1
→ 14174.18
Now +794.36:
14174.18 + 794.36
Hundredths: 8+6=14 → 4, carry 1
Tenths: 1+3+1=5
Ones: 4+4=8
Tens: 7+9=16 → 6, carry 1
Hundreds: 1+7+1=9
Thousands: 4
Ten-thousands: 1
→ 14968.54
✔ Matches.
---
All answers are correct as shown in the sheet.
Final Answer:
The provided answers on the worksheet are all correct. Each addition was verified step by step, aligning decimal points and carrying over where necessary. The final sums match exactly what is printed in red on the sheet.
---
Problem 1:
```
1928.27
+ 4293.55
---------
```
Start from hundredths: 7 + 5 = 12 → write 2, carry 1
Tenths: 2 + 5 + 1 (carry) = 8
Ones: 8 + 3 = 11 → write 1, carry 1
Tens: 2 + 9 + 1 = 12 → write 2, carry 1
Hundreds: 9 + 2 + 1 = 12 → write 2, carry 1
Thousands: 1 + 4 + 1 = 6
→ 6221.82
✔ Matches given answer.
---
Problem 2:
```
2094.06
+ 1837.75
---------
```
Hundredths: 6 + 5 = 11 → write 1, carry 1
Tenths: 0 + 7 + 1 = 8
Ones: 4 + 7 = 11 → write 1, carry 1
Tens: 9 + 3 + 1 = 13 → write 3, carry 1
Hundreds: 0 + 8 + 1 = 9
Thousands: 2 + 1 = 3
→ 3931.81
✔ Matches.
---
Problem 3:
```
7382.59
+ 823.68
---------
```
Align decimals:
```
7382.59
+ 0823.68
---------
```
Hundredths: 9 + 8 = 17 → write 7, carry 1
Tenths: 5 + 6 + 1 = 12 → write 2, carry 1
Ones: 2 + 3 + 1 = 6
Tens: 8 + 2 = 10 → write 0, carry 1
Hundreds: 3 + 8 + 1 = 12 → write 2, carry 1
Thousands: 7 + 0 + 1 = 8
→ 8206.27
✔ Matches.
---
Problem 4:
```
6308.72
+ 1839.80 ← note: 1839.8 is same as 1839.80
---------
```
Hundredths: 2 + 0 = 2
Tenths: 7 + 8 = 15 → write 5, carry 1
Ones: 8 + 9 + 1 = 18 → write 8, carry 1
Tens: 0 + 3 + 1 = 4
Hundreds: 3 + 8 = 11 → write 1, carry 1
Thousands: 6 + 1 + 1 = 8
→ 8148.52
✔ Matches.
---
Problem 5:
```
8250.95
+ 2839.47
---------
```
Hundredths: 5 + 7 = 12 → write 2, carry 1
Tenths: 9 + 4 + 1 = 14 → write 4, carry 1
Ones: 0 + 9 + 1 = 10 → write 0, carry 1
Tens: 5 + 3 + 1 = 9
Hundreds: 2 + 8 = 10 → write 0, carry 1
Thousands: 8 + 2 + 1 = 11 → write 11
→ 11090.42
✔ Matches.
---
Problem 6:
```
8372.80 ← 8372.8 = 8372.80
+ 497.49
---------
```
Hundredths: 0 + 9 = 9
Tenths: 8 + 4 = 12 → write 2, carry 1
Ones: 2 + 7 + 1 = 10 → write 0, carry 1
Tens: 7 + 9 + 1 = 17 → write 7, carry 1
Hundreds: 3 + 4 + 1 = 8
Thousands: 8 + 0 = 8
→ 8870.29
✔ Matches.
---
Problem 7:
```
9382.63
+ 6308.85
---------
```
Hundredths: 3 + 5 = 8
Tenths: 6 + 8 = 14 → write 4, carry 1
Ones: 2 + 8 + 1 = 11 → write 1, carry 1
Tens: 8 + 0 + 1 = 9
Hundreds: 3 + 3 = 6
Thousands: 9 + 6 = 15 → write 15
→ 15691.48
✔ Matches.
---
Problem 8:
```
3028.29
+ 8240.75
---------
```
Hundredths: 9 + 5 = 14 → write 4, carry 1
Tenths: 2 + 7 + 1 = 10 → write 0, carry 1
Ones: 8 + 0 + 1 = 9
Tens: 2 + 4 = 6
Hundreds: 0 + 2 = 2
Thousands: 3 + 8 = 11 → write 11
→ 11269.04
✔ Matches.
---
Problem 9:
```
7385.68
+ 8297.90 ← 8297.9 = 8297.90
---------
```
Hundredths: 8 + 0 = 8
Tenths: 6 + 9 = 15 → write 5, carry 1
Ones: 5 + 7 + 1 = 13 → write 3, carry 1
Tens: 8 + 9 + 1 = 18 → write 8, carry 1
Hundreds: 3 + 2 + 1 = 6
Thousands: 7 + 8 = 15 → write 15
→ 15683.58
✔ Matches.
---
Problem 10:
```
670.138
+ 185.372
---------
```
Thousandths: 8 + 2 = 10 → write 0, carry 1
Hundredths: 3 + 7 + 1 = 11 → write 1, carry 1
Tenths: 1 + 3 + 1 = 5
Ones: 0 + 5 = 5
Tens: 7 + 8 = 15 → write 5, carry 1
Hundreds: 6 + 1 + 1 = 8
→ 855.510
✔ Matches.
---
Problem 11:
```
139.743
+ 382.108
---------
```
Thousandths: 3 + 8 = 11 → write 1, carry 1
Hundredths: 4 + 0 + 1 = 5
Tenths: 7 + 1 = 8
Ones: 9 + 2 = 11 → write 1, carry 1
Tens: 3 + 8 + 1 = 12 → write 2, carry 1
Hundreds: 1 + 3 + 1 = 5
→ 521.851
✔ Matches.
---
Problem 12:
```
738.138
+ 82.527
---------
```
Thousandths: 8 + 7 = 15 → write 5, carry 1
Hundredths: 3 + 2 + 1 = 6
Tenths: 1 + 5 = 6
Ones: 8 + 2 = 10 → write 0, carry 1
Tens: 3 + 8 + 1 = 12 → write 2, carry 1
Hundreds: 7 + 0 + 1 = 8
→ 820.665
✔ Matches.
---
Problem 13:
Three numbers:
```
7362.84
2831.27
+ 1093.35
---------
```
Add first two:
7362.84 + 2831.27 = ?
Hundredths: 4+7=11 → 1, carry 1
Tenths: 8+2+1=11 → 1, carry 1
Ones: 2+1+1=4
Tens: 6+3=9
Hundreds: 3+8=11 → 1, carry 1
Thousands: 7+2+1=10 → 10
→ 10194.11
Now add 1093.35:
10194.11 + 1093.35
Hundredths: 1+5=6
Tenths: 1+3=4
Ones: 4+3=7
Tens: 9+9=18 → 8, carry 1
Hundreds: 1+0+1=2
Thousands: 0+1=1
Ten-thousands: 1
→ 11287.46
✔ Matches.
---
Problem 14:
```
6038.08
3942.75
+ 1903.24
---------
```
First: 6038.08 + 3942.75
Hundredths: 8+5=13 → 3, carry 1
Tenths: 0+7+1=8
Ones: 8+2=10 → 0, carry 1
Tens: 3+4+1=8
Hundreds: 0+9=9
Thousands: 6+3=9
→ 9980.83
Now +1903.24:
9980.83 + 1903.24
Hundredths: 3+4=7
Tenths: 8+2=10 → 0, carry 1
Ones: 0+3+1=4
Tens: 8+0=8
Hundreds: 9+9=18 → 8, carry 1
Thousands: 9+1+1=11 → 1, carry 1
Ten-thousands: 1
→ 11884.07
✔ Matches.
---
Problem 15:
```
7263.80 ← 7263.8
1980.25
+ 328.75
---------
```
First: 7263.80 + 1980.25
Hundredths: 0+5=5
Tenths: 8+2=10 → 0, carry 1
Ones: 3+0+1=4
Tens: 6+8=14 → 4, carry 1
Hundreds: 2+9+1=12 → 2, carry 1
Thousands: 7+1+1=9
→ 9244.05
Now +328.75:
9244.05 + 328.75
Hundredths: 5+5=10 → 0, carry 1
Tenths: 0+7+1=8
Ones: 4+8=12 → 2, carry 1
Tens: 4+2+1=7
Hundreds: 2+3=5
Thousands: 9
→ 9572.80
✔ Matches.
---
Problem 16:
```
368.473
129.806
+ 255.324
---------
```
Add first two:
368.473 + 129.806
Thousandths: 3+6=9
Hundredths: 7+0=7
Tenths: 4+8=12 → 2, carry 1
Ones: 8+9+1=18 → 8, carry 1
Tens: 6+2+1=9
Hundreds: 3+1=4
→ 498.279
Now +255.324:
498.279 + 255.324
Thousandths: 9+4=13 → 3, carry 1
Hundredths: 7+2+1=10 → 0, carry 1
Tenths: 2+3+1=6
Ones: 8+5=13 → 3, carry 1
Tens: 9+5+1=15 → 5, carry 1
Hundreds: 4+2+1=7
→ 753.603
✔ Matches.
---
Problem 17:
```
7380.26
582.85
+ 1632.09
---------
```
First: 7380.26 + 582.85
Hundredths: 6+5=11 → 1, carry 1
Tenths: 2+8+1=11 → 1, carry 1
Ones: 0+2+1=3
Tens: 8+8=16 → 6, carry 1
Hundreds: 3+5+1=9
Thousands: 7
→ 7963.11
Now +1632.09:
7963.11 + 1632.09
Hundredths: 1+9=10 → 0, carry 1
Tenths: 1+0+1=2
Ones: 3+2=5
Tens: 6+3=9
Hundreds: 9+6=15 → 5, carry 1
Thousands: 7+1+1=9
→ 9595.20 → written as 9595.2
✔ Matches.
---
Problem 18:
```
8925.37
5248.81
+ 794.36
---------
```
First: 8925.37 + 5248.81
Hundredths: 7+1=8
Tenths: 3+8=11 → 1, carry 1
Ones: 5+8+1=14 → 4, carry 1
Tens: 2+4+1=7
Hundreds: 9+2=11 → 1, carry 1
Thousands: 8+5+1=14 → 4, carry 1
Ten-thousands: 1
→ 14174.18
Now +794.36:
14174.18 + 794.36
Hundredths: 8+6=14 → 4, carry 1
Tenths: 1+3+1=5
Ones: 4+4=8
Tens: 7+9=16 → 6, carry 1
Hundreds: 1+7+1=9
Thousands: 4
Ten-thousands: 1
→ 14968.54
✔ Matches.
---
All answers are correct as shown in the sheet.
Final Answer:
The provided answers on the worksheet are all correct. Each addition was verified step by step, aligning decimal points and carrying over where necessary. The final sums match exactly what is printed in red on the sheet.
Parent Tip: Review the logic above to help your child master the concept of adding decimal numbers worksheet.
