Decimals Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Decimals Worksheets - Math Monks
Let's solve each problem step by step in the Decimal Worksheet.
---
#### a) 34.67 + 27.85
```
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
---
#### 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
---
#### a) 6.72 × 12
First, ignore decimals:
- 672 × 12 = ?
```
672
× 12
------
1344
6720
------
8064
```
Now count decimal places: 6.72 has 2 decimal places → answer has 2 decimal places.
So: 80.64
✔ Answer: 80.64
#### b) 97.304 × 67.3
Step 1: Ignore decimals → 97304 × 673
We can do this in parts:
But let's use approximation or careful multiplication:
First, total decimal places:
- 97.304 → 3 decimals
- 67.3 → 1 decimal
→ Total: 4 decimal places
Now compute:
```
97304
× 673
-------
291912 (97304 × 3)
681128 (97304 × 70)
583824 (97304 × 600)
-----------
65437892
```
Wait — better to do it step-by-step:
Actually:
```
97304
× 673
------
97304 × 3 = 291,912
97304 × 70 = 6,811,280
97304 × 600 = 58,382,400
-------------------------
Add: 291,912 + 6,811,280 = 7,103,192
+ 58,382,400 = 65,485,592
```
So, 97304 × 673 = 65,485,592
Now add back 4 decimal places → move decimal 4 places left:
→ 6,548.5592
✔ Answer: 6,548.5592
#### c) 13.79 × 9.36
Decimals: 13.79 → 2, 9.36 → 2 → total 4 decimal places
Compute 1379 × 936
Break it down:
```
1379
× 936
-----
8274 (1379 × 6)
41370 (1379 × 30)
124110 (1379 × 900)
--------
129,324
```
Wait — better:
```
1379
× 936
-----
1379 × 6 = 8,274
1379 × 30 = 41,370
1379 × 900 = 1,241,100
-------------
Add:
8,274
+41,370 = 49,644
+1,241,100 = 1,290,744
```
So: 1,290,744
Now apply 4 decimal places → 12,907.44
Wait — 1,290,744 with 4 decimal places:
→ 12,907.44
✔ Answer: 12,907.44
---
#### a) 7 ) 99.67
Divide 99.67 ÷ 7
```
14.238...
7 | 99.67
-7
---
29
-28
---
16
-14
---
26
-21
---
50
-49
---
10
-7
---
3
```
So, quotient is approximately 14.238..., but we'll write up to 2 decimal places unless specified.
But since it's exact division, let’s do it properly.
Let’s divide:
```
99.67 ÷ 7
= 14.238571...
```
But usually for such problems, we round to two decimal places if needed.
But here, the question doesn't specify rounding. Let's do it step by step:
```
14.238...
7 | 99.670
-7
----
29
-28
----
16
-14
----
26
-21
----
50
-49
----
10
-7
----
30
-28
----
2
```
So, 14.238..., and continues.
But likely, they expect 14.24 (rounded to two decimals).
But let’s see what is expected.
Alternatively, maybe just show quotient.
But for accuracy:
✔ Answer: 14.238... (or 14.24 rounded)
But since the original number has two decimals, we might keep two decimals.
Wait — 99.67 ÷ 7 = ?
Let me calculate:
7 × 14 = 98
99.67 − 98 = 1.67
1.67 ÷ 7 = 0.23857...
So total: 14.23857...
So, 14.24 (rounded to nearest hundredth)
✔ Answer: 14.24
#### b) 4 ) 89.76
89.76 ÷ 4
```
22.44
4 | 89.76
-8
---
9
-8
---
17
-16
---
16
-16
---
0
```
So, 22.44
✔ Answer: 22.44
#### c) 9 ) 60.57
60.57 ÷ 9
```
6.73
9 | 60.57
-54
----
65
-63
----
27
-27
----
0
```
So, 6.73
✔ Answer: 6.73
---
#### 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) 6,548.5592
c) 12,907.44
#### Divide
a) 14.24
b) 22.44
c) 6.73
---
Let me know if you'd like these formatted neatly for printing or explanation!
---
Add
#### a) 34.67 + 27.85
```
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
× 12
------
1344
6720
------
8064
```
Now count decimal places: 6.72 has 2 decimal places → answer has 2 decimal places.
So: 80.64
✔ Answer: 80.64
#### b) 97.304 × 67.3
Step 1: Ignore decimals → 97304 × 673
We can do this in parts:
But let's use approximation or careful multiplication:
First, total decimal places:
- 97.304 → 3 decimals
- 67.3 → 1 decimal
→ Total: 4 decimal places
Now compute:
```
97304
× 673
-------
291912 (97304 × 3)
681128 (97304 × 70)
583824 (97304 × 600)
-----------
65437892
```
Wait — better to do it step-by-step:
Actually:
```
97304
× 673
------
97304 × 3 = 291,912
97304 × 70 = 6,811,280
97304 × 600 = 58,382,400
-------------------------
Add: 291,912 + 6,811,280 = 7,103,192
+ 58,382,400 = 65,485,592
```
So, 97304 × 673 = 65,485,592
Now add back 4 decimal places → move decimal 4 places left:
→ 6,548.5592
✔ Answer: 6,548.5592
#### c) 13.79 × 9.36
Decimals: 13.79 → 2, 9.36 → 2 → total 4 decimal places
Compute 1379 × 936
Break it down:
```
1379
× 936
-----
8274 (1379 × 6)
41370 (1379 × 30)
124110 (1379 × 900)
--------
129,324
```
Wait — better:
```
1379
× 936
-----
1379 × 6 = 8,274
1379 × 30 = 41,370
1379 × 900 = 1,241,100
-------------
Add:
8,274
+41,370 = 49,644
+1,241,100 = 1,290,744
```
So: 1,290,744
Now apply 4 decimal places → 12,907.44
Wait — 1,290,744 with 4 decimal places:
→ 12,907.44
✔ Answer: 12,907.44
---
Divide
#### a) 7 ) 99.67
Divide 99.67 ÷ 7
```
14.238...
7 | 99.67
-7
---
29
-28
---
16
-14
---
26
-21
---
50
-49
---
10
-7
---
3
```
So, quotient is approximately 14.238..., but we'll write up to 2 decimal places unless specified.
But since it's exact division, let’s do it properly.
Let’s divide:
```
99.67 ÷ 7
= 14.238571...
```
But usually for such problems, we round to two decimal places if needed.
But here, the question doesn't specify rounding. Let's do it step by step:
```
14.238...
7 | 99.670
-7
----
29
-28
----
16
-14
----
26
-21
----
50
-49
----
10
-7
----
30
-28
----
2
```
So, 14.238..., and continues.
But likely, they expect 14.24 (rounded to two decimals).
But let’s see what is expected.
Alternatively, maybe just show quotient.
But for accuracy:
✔ Answer: 14.238... (or 14.24 rounded)
But since the original number has two decimals, we might keep two decimals.
Wait — 99.67 ÷ 7 = ?
Let me calculate:
7 × 14 = 98
99.67 − 98 = 1.67
1.67 ÷ 7 = 0.23857...
So total: 14.23857...
So, 14.24 (rounded to nearest hundredth)
✔ Answer: 14.24
#### b) 4 ) 89.76
89.76 ÷ 4
```
22.44
4 | 89.76
-8
---
9
-8
---
17
-16
---
16
-16
---
0
```
So, 22.44
✔ Answer: 22.44
#### c) 9 ) 60.57
60.57 ÷ 9
```
6.73
9 | 60.57
-54
----
65
-63
----
27
-27
----
0
```
So, 6.73
✔ Answer: 6.73
---
✔ Final Answers:
#### 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) 6,548.5592
c) 12,907.44
#### Divide
a) 14.24
b) 22.44
c) 6.73
---
Let me know if you'd like these formatted neatly for printing or explanation!
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing decimals worksheet.