Printable decimals worksheet featuring addition, subtraction, multiplication, and division exercises with examples.
Decimals worksheet with addition, subtraction, multiplication, and division problems for students.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Decimals Worksheets Color by Numbers for
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying and Dividing Decimals Worksheets Color by Numbers for
Here's the complete solution to the Decimals Worksheet with step-by-step explanations for each problem.
---
## ✔ Add
Align decimals and add:
```
34.67
+ 27.85
-------
62.52
```
✔ Answer: 62.52
---
```
237.66
+ 39.10
--------
276.76
```
✔ Answer: 276.76
---
```
88.49
+ 70.40
-------
158.89
```
✔ Answer: 158.89
---
## ✔ Subtract
```
45.63
- 30.12
-------
15.51
```
✔ Answer: 15.51
---
```
94.609
- 78.517
--------
16.092
```
✔ Answer: 16.092
---
```
6.97
- 5.03
-------
1.94
```
✔ Answer: 1.94
---
## ✔ Multiply
First, ignore decimals:
672 × 12 = ?
672 × 10 = 6720
672 × 2 = 1344
Total = 6720 + 1344 = 8064
Now, count decimal places: 6.72 has 2 decimal places → so answer is 80.64
✔ Answer: 80.64
---
Ignore decimals first:
97304 × 673
This is big — let’s compute step by step:
We can break it down:
Step 1: Multiply 97304 × 600 = 58,382,400
Step 2: Multiply 97304 × 70 = 6,811,280
Step 3: Multiply 97304 × 3 = 291,912
Add them up:
58,382,400
+ 6,811,280 = 65,193,680
+ 291,912 = 65,485,592
Now, count decimal places:
97.304 → 3 decimals
67.3 → 1 decimal
Total = 4 decimal places
So, place decimal 4 places from right:
→ 6548.5592
✔ Answer: 6548.5592
---
Ignore decimals: 1379 × 936
Compute:
1379 × 900 = 1,241,100
1379 × 30 = 41,370
1379 × 6 = 8,274
Add:
1,241,100 + 41,370 = 1,282,470
+ 8,274 = 1,290,744
Decimal places:
13.79 → 2 decimals
9.36 → 2 decimals
Total = 4 decimals
→ 129.0744
✔ Answer: 129.0744
---
## ✔ Divide
These are written in “long division” format: e.g., `7 ) 99.67` means 99.67 ÷ 7
Do long division:
```
14.23857... (we’ll round to 2 decimals unless specified)
_________
7 | 99.6700
-7
--
29
-28
--
16
-14
--
27
-21
--
60
-56
--
40
-35
--
50
-49
--
1...
```
But since this is elementary level, we usually go to 2 decimal places.
Let’s compute:
7 × 14 = 98 → 99.67 - 98 = 1.67
Bring down 0 → 16.7
7 × 2 = 14 → 16.7 - 14 = 2.7
Bring down 0 → 27.0
7 × 3 = 21 → 27 - 21 = 6
Bring down 0 → 60
7 × 8 = 56 → 60 - 56 = 4 → remainder
So, 14.23 with remainder, or 14.24 if rounded to 2 decimals.
Actually, let’s calculate precisely:
99.67 ÷ 7 = 14.23857... → Rounded to 2 decimal places = 14.24
✔ Answer: 14.24
---
Simple division:
89.76 ÷ 4
89 ÷ 4 = 22 with remainder 1 → 1.76 left
1.76 ÷ 4 = 0.44
So total = 22 + 0.44 = 22.44
✔ Answer: 22.44
---
Long division:
9 into 60 → 6 × 9 = 54 → remainder 6
Bring down 5 → 65
9 × 7 = 63 → remainder 2
Bring down 7 → 27
9 × 3 = 27 → remainder 0
So: 6.73
✔ Answer: 6.73
---
## 📝 Final Answers Summary:
a) 62.52
b) 276.76
c) 158.89
a) 15.51
b) 16.092
c) 1.94
a) 80.64
b) 6548.5592
c) 129.0744
a) 14.24
b) 22.44
c) 6.73
---
✔ All problems solved with clear steps! Let me know if you’d like the work shown in more detail for any specific problem.
---
## ✔ Add
a) 34.67 + 27.85
Align decimals and add:
```
34.67
+ 27.85
-------
62.52
```
✔ Answer: 62.52
---
b) 237.66 + 39.10
```
237.66
+ 39.10
--------
276.76
```
✔ Answer: 276.76
---
c) 88.49 + 70.40
```
88.49
+ 70.40
-------
158.89
```
✔ Answer: 158.89
---
## ✔ Subtract
a) 45.63 - 30.12
```
45.63
- 30.12
-------
15.51
```
✔ Answer: 15.51
---
b) 94.609 - 78.517
```
94.609
- 78.517
--------
16.092
```
✔ Answer: 16.092
---
c) 6.97 - 5.03
```
6.97
- 5.03
-------
1.94
```
✔ Answer: 1.94
---
## ✔ Multiply
a) 6.72 × 12
First, ignore decimals:
672 × 12 = ?
672 × 10 = 6720
672 × 2 = 1344
Total = 6720 + 1344 = 8064
Now, count decimal places: 6.72 has 2 decimal places → so answer is 80.64
✔ Answer: 80.64
---
b) 97.304 × 67.3
Ignore decimals first:
97304 × 673
This is big — let’s compute step by step:
We can break it down:
Step 1: Multiply 97304 × 600 = 58,382,400
Step 2: Multiply 97304 × 70 = 6,811,280
Step 3: Multiply 97304 × 3 = 291,912
Add them up:
58,382,400
+ 6,811,280 = 65,193,680
+ 291,912 = 65,485,592
Now, count decimal places:
97.304 → 3 decimals
67.3 → 1 decimal
Total = 4 decimal places
So, place decimal 4 places from right:
→ 6548.5592
✔ Answer: 6548.5592
---
c) 13.79 × 9.36
Ignore decimals: 1379 × 936
Compute:
1379 × 900 = 1,241,100
1379 × 30 = 41,370
1379 × 6 = 8,274
Add:
1,241,100 + 41,370 = 1,282,470
+ 8,274 = 1,290,744
Decimal places:
13.79 → 2 decimals
9.36 → 2 decimals
Total = 4 decimals
→ 129.0744
✔ Answer: 129.0744
---
## ✔ Divide
These are written in “long division” format: e.g., `7 ) 99.67` means 99.67 ÷ 7
a) 99.67 ÷ 7
Do long division:
```
14.23857... (we’ll round to 2 decimals unless specified)
_________
7 | 99.6700
-7
--
29
-28
--
16
-14
--
27
-21
--
60
-56
--
40
-35
--
50
-49
--
1...
```
But since this is elementary level, we usually go to 2 decimal places.
Let’s compute:
7 × 14 = 98 → 99.67 - 98 = 1.67
Bring down 0 → 16.7
7 × 2 = 14 → 16.7 - 14 = 2.7
Bring down 0 → 27.0
7 × 3 = 21 → 27 - 21 = 6
Bring down 0 → 60
7 × 8 = 56 → 60 - 56 = 4 → remainder
So, 14.23 with remainder, or 14.24 if rounded to 2 decimals.
Actually, let’s calculate precisely:
99.67 ÷ 7 = 14.23857... → Rounded to 2 decimal places = 14.24
✔ Answer: 14.24
---
b) 89.76 ÷ 4
Simple division:
89.76 ÷ 4
89 ÷ 4 = 22 with remainder 1 → 1.76 left
1.76 ÷ 4 = 0.44
So total = 22 + 0.44 = 22.44
✔ Answer: 22.44
---
c) 60.57 ÷ 9
Long division:
9 into 60 → 6 × 9 = 54 → remainder 6
Bring down 5 → 65
9 × 7 = 63 → remainder 2
Bring down 7 → 27
9 × 3 = 27 → remainder 0
So: 6.73
✔ Answer: 6.73
---
## 📝 Final Answers Summary:
Add:
a) 62.52
b) 276.76
c) 158.89
Subtract:
a) 15.51
b) 16.092
c) 1.94
Multiply:
a) 80.64
b) 6548.5592
c) 129.0744
Divide:
a) 14.24
b) 22.44
c) 6.73
---
✔ All problems solved with clear steps! Let me know if you’d like the work shown in more detail for any specific problem.
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing decimals worksheets.