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 solve each problem step by step. We’ll add the decimals carefully, lining up the decimal points and adding column by column from right to left.
---
1) 242.7 + 35.82
First, write them with same decimal places:
242.70
+ 35.82
= ?
Add hundredths: 0 + 2 = 2
Tenths: 7 + 8 = 15 → write 5, carry 1
Ones: 2 + 5 + 1 (carry) = 8
Tens: 4 + 3 = 7
Hundreds: 2 + 0 = 2
→ 278.52
---
2) 602.64 + 79.73
602.64
+ 79.73
= ?
Hundredths: 4 + 3 = 7
Tenths: 6 + 7 = 13 → write 3, carry 1
Ones: 2 + 9 + 1 = 12 → write 2, carry 1
Tens: 0 + 7 + 1 = 8
Hundreds: 6 + 0 = 6
→ 682.37
---
3) 3.805 + 7.376
3.805
+7.376
= ?
Thousandths: 5 + 6 = 11 → write 1, carry 1
Hundredths: 0 + 7 + 1 = 8
Tenths: 8 + 3 = 11 → write 1, carry 1
Ones: 3 + 7 + 1 = 11 → write 1, carry 1
Tens: 0 + 0 + 1 = 1
→ 11.181
---
4) 65.78 + 109.9
Write as:
65.78
+109.90
= ?
Hundredths: 8 + 0 = 8
Tenths: 7 + 9 = 16 → write 6, carry 1
Ones: 5 + 9 + 1 = 15 → write 5, carry 1
Tens: 6 + 0 + 1 = 7
Hundreds: 0 + 1 = 1
→ 175.68
---
5) 36.9 + 15.6 + 7.8
Line them up:
36.9
15.6
+ 7.8
------
Start from tenths: 9 + 6 + 8 = 23 → write 3, carry 2
Ones: 6 + 5 + 7 + 2 = 20 → write 0, carry 2
Tens: 3 + 1 + 0 + 2 = 6
→ 60.3
---
6) 43.8 + 28.4 + 8.9
43.8
28.4
+ 8.9
------
Tenths: 8 + 4 + 9 = 21 → write 1, carry 2
Ones: 3 + 8 + 8 + 2 = 21 → write 1, carry 2
Tens: 4 + 2 + 0 + 2 = 8
→ 81.1
---
7) 7.28 + 3.8 + 2.24
Write all with two decimals:
7.28
3.80
+2.24
------
Hundredths: 8 + 0 + 4 = 12 → write 2, carry 1
Tenths: 2 + 8 + 2 + 1 = 13 → write 3, carry 1
Ones: 7 + 3 + 2 + 1 = 13 → write 3, carry 1
Tens: 0 + 0 + 0 + 1 = 1
→ 13.32
---
8) 1.78 + 0.62 + 3.9
Write as:
1.78
0.62
+3.90
------
Hundredths: 8 + 2 + 0 = 10 → write 0, carry 1
Tenths: 7 + 6 + 9 + 1 = 23 → write 3, carry 2
Ones: 1 + 0 + 3 + 2 = 6
→ 6.30 or just 6.3
---
9) 4.06 + 3.5 + 2.27
4.06
3.50
+2.27
------
Hundredths: 6 + 0 + 7 = 13 → write 3, carry 1
Tenths: 0 + 5 + 2 + 1 = 8
Ones: 4 + 3 + 2 = 9
→ 9.83
---
10) 1.92 + 0.86 + 3.8
1.92
0.86
+3.80
------
Hundredths: 2 + 6 + 0 = 8
Tenths: 9 + 8 + 8 = 25 → write 5, carry 2
Ones: 1 + 0 + 3 + 2 = 6
→ 6.58
---
11) 73.6 + 26.9 + 2.8
73.6
26.9
+ 2.8
------
Tenths: 6 + 9 + 8 = 23 → write 3, carry 2
Ones: 3 + 6 + 2 + 2 = 13 → write 3, carry 1
Tens: 7 + 2 + 0 + 1 = 10 → write 0, carry 1
Hundreds: 1
→ 103.3
---
12) 0.76 + 0.9 + 5.85
0.76
0.90
+5.85
------
Hundredths: 6 + 0 + 5 = 11 → write 1, carry 1
Tenths: 7 + 9 + 8 + 1 = 25 → write 5, carry 2
Ones: 0 + 0 + 5 + 2 = 7
→ 7.51
---
13) 14.78 + 102.9 + 85.65
Write all with two decimals:
14.78
102.90
+ 85.65
--------
Hundredths: 8 + 0 + 5 = 13 → write 3, carry 1
Tenths: 7 + 9 + 6 + 1 = 23 → write 3, carry 2
Ones: 4 + 2 + 5 + 2 = 13 → write 3, carry 1
Tens: 1 + 0 + 8 + 1 = 10 → write 0, carry 1
Hundreds: 1 + 1 = 2
→ 203.33
---
14) 156.76 + 72.9 + 25.84
156.76
72.90
+ 25.84
--------
Hundredths: 6 + 0 + 4 = 10 → write 0, carry 1
Tenths: 7 + 9 + 8 + 1 = 25 → write 5, carry 2
Ones: 6 + 2 + 5 + 2 = 15 → write 5, carry 1
Tens: 5 + 7 + 2 + 1 = 15 → write 5, carry 1
Hundreds: 1 + 0 + 0 + 1 = 2
→ 255.50 or 255.5
---
15) 8.735 + 0.664 + 4.89
Write all with three decimals:
8.735
0.664
+4.890
--------
Thousandths: 5 + 4 + 0 = 9
Hundredths: 3 + 6 + 9 = 18 → write 8, carry 1
Tenths: 7 + 6 + 8 + 1 = 22 → write 2, carry 2
Ones: 8 + 0 + 4 + 2 = 14 → write 4, carry 1
Tens: 1
→ 14.289
---
16) 43.95 + 80.57 + 18.69
43.95
80.57
+18.69
--------
Hundredths: 5 + 7 + 9 = 21 → write 1, carry 2
Tenths: 9 + 5 + 6 + 2 = 22 → write 2, carry 2
Ones: 3 + 0 + 8 + 2 = 13 → write 3, carry 1
Tens: 4 + 8 + 1 + 1 = 14 → write 4, carry 1
Hundreds: 1
→ 143.21
---
Final Answer:
1) 278.52
2) 682.37
3) 11.181
4) 175.68
5) 60.3
6) 81.1
7) 13.32
8) 6.3
9) 9.83
10) 6.58
11) 103.3
12) 7.51
13) 203.33
14) 255.5
15) 14.289
16) 143.21
---
1) 242.7 + 35.82
First, write them with same decimal places:
242.70
+ 35.82
= ?
Add hundredths: 0 + 2 = 2
Tenths: 7 + 8 = 15 → write 5, carry 1
Ones: 2 + 5 + 1 (carry) = 8
Tens: 4 + 3 = 7
Hundreds: 2 + 0 = 2
→ 278.52
---
2) 602.64 + 79.73
602.64
+ 79.73
= ?
Hundredths: 4 + 3 = 7
Tenths: 6 + 7 = 13 → write 3, carry 1
Ones: 2 + 9 + 1 = 12 → write 2, carry 1
Tens: 0 + 7 + 1 = 8
Hundreds: 6 + 0 = 6
→ 682.37
---
3) 3.805 + 7.376
3.805
+7.376
= ?
Thousandths: 5 + 6 = 11 → write 1, carry 1
Hundredths: 0 + 7 + 1 = 8
Tenths: 8 + 3 = 11 → write 1, carry 1
Ones: 3 + 7 + 1 = 11 → write 1, carry 1
Tens: 0 + 0 + 1 = 1
→ 11.181
---
4) 65.78 + 109.9
Write as:
65.78
+109.90
= ?
Hundredths: 8 + 0 = 8
Tenths: 7 + 9 = 16 → write 6, carry 1
Ones: 5 + 9 + 1 = 15 → write 5, carry 1
Tens: 6 + 0 + 1 = 7
Hundreds: 0 + 1 = 1
→ 175.68
---
5) 36.9 + 15.6 + 7.8
Line them up:
36.9
15.6
+ 7.8
------
Start from tenths: 9 + 6 + 8 = 23 → write 3, carry 2
Ones: 6 + 5 + 7 + 2 = 20 → write 0, carry 2
Tens: 3 + 1 + 0 + 2 = 6
→ 60.3
---
6) 43.8 + 28.4 + 8.9
43.8
28.4
+ 8.9
------
Tenths: 8 + 4 + 9 = 21 → write 1, carry 2
Ones: 3 + 8 + 8 + 2 = 21 → write 1, carry 2
Tens: 4 + 2 + 0 + 2 = 8
→ 81.1
---
7) 7.28 + 3.8 + 2.24
Write all with two decimals:
7.28
3.80
+2.24
------
Hundredths: 8 + 0 + 4 = 12 → write 2, carry 1
Tenths: 2 + 8 + 2 + 1 = 13 → write 3, carry 1
Ones: 7 + 3 + 2 + 1 = 13 → write 3, carry 1
Tens: 0 + 0 + 0 + 1 = 1
→ 13.32
---
8) 1.78 + 0.62 + 3.9
Write as:
1.78
0.62
+3.90
------
Hundredths: 8 + 2 + 0 = 10 → write 0, carry 1
Tenths: 7 + 6 + 9 + 1 = 23 → write 3, carry 2
Ones: 1 + 0 + 3 + 2 = 6
→ 6.30 or just 6.3
---
9) 4.06 + 3.5 + 2.27
4.06
3.50
+2.27
------
Hundredths: 6 + 0 + 7 = 13 → write 3, carry 1
Tenths: 0 + 5 + 2 + 1 = 8
Ones: 4 + 3 + 2 = 9
→ 9.83
---
10) 1.92 + 0.86 + 3.8
1.92
0.86
+3.80
------
Hundredths: 2 + 6 + 0 = 8
Tenths: 9 + 8 + 8 = 25 → write 5, carry 2
Ones: 1 + 0 + 3 + 2 = 6
→ 6.58
---
11) 73.6 + 26.9 + 2.8
73.6
26.9
+ 2.8
------
Tenths: 6 + 9 + 8 = 23 → write 3, carry 2
Ones: 3 + 6 + 2 + 2 = 13 → write 3, carry 1
Tens: 7 + 2 + 0 + 1 = 10 → write 0, carry 1
Hundreds: 1
→ 103.3
---
12) 0.76 + 0.9 + 5.85
0.76
0.90
+5.85
------
Hundredths: 6 + 0 + 5 = 11 → write 1, carry 1
Tenths: 7 + 9 + 8 + 1 = 25 → write 5, carry 2
Ones: 0 + 0 + 5 + 2 = 7
→ 7.51
---
13) 14.78 + 102.9 + 85.65
Write all with two decimals:
14.78
102.90
+ 85.65
--------
Hundredths: 8 + 0 + 5 = 13 → write 3, carry 1
Tenths: 7 + 9 + 6 + 1 = 23 → write 3, carry 2
Ones: 4 + 2 + 5 + 2 = 13 → write 3, carry 1
Tens: 1 + 0 + 8 + 1 = 10 → write 0, carry 1
Hundreds: 1 + 1 = 2
→ 203.33
---
14) 156.76 + 72.9 + 25.84
156.76
72.90
+ 25.84
--------
Hundredths: 6 + 0 + 4 = 10 → write 0, carry 1
Tenths: 7 + 9 + 8 + 1 = 25 → write 5, carry 2
Ones: 6 + 2 + 5 + 2 = 15 → write 5, carry 1
Tens: 5 + 7 + 2 + 1 = 15 → write 5, carry 1
Hundreds: 1 + 0 + 0 + 1 = 2
→ 255.50 or 255.5
---
15) 8.735 + 0.664 + 4.89
Write all with three decimals:
8.735
0.664
+4.890
--------
Thousandths: 5 + 4 + 0 = 9
Hundredths: 3 + 6 + 9 = 18 → write 8, carry 1
Tenths: 7 + 6 + 8 + 1 = 22 → write 2, carry 2
Ones: 8 + 0 + 4 + 2 = 14 → write 4, carry 1
Tens: 1
→ 14.289
---
16) 43.95 + 80.57 + 18.69
43.95
80.57
+18.69
--------
Hundredths: 5 + 7 + 9 = 21 → write 1, carry 2
Tenths: 9 + 5 + 6 + 2 = 22 → write 2, carry 2
Ones: 3 + 0 + 8 + 2 = 13 → write 3, carry 1
Tens: 4 + 8 + 1 + 1 = 14 → write 4, carry 1
Hundreds: 1
→ 143.21
---
Final Answer:
1) 278.52
2) 682.37
3) 11.181
4) 175.68
5) 60.3
6) 81.1
7) 13.32
8) 6.3
9) 9.83
10) 6.58
11) 103.3
12) 7.51
13) 203.33
14) 255.5
15) 14.289
16) 143.21
Parent Tip: Review the logic above to help your child master the concept of for 5th grade decimal worksheet.
