Here's the step-by-step solution to each of the 12 decimal problems on the worksheet:
---
1) 8.2 × 9.499
Multiply as if they were whole numbers:
82 × 9499 = 778,918
Now count decimal places:
8.2 has
1 decimal place
9.499 has
3 decimal places → total =
4 decimal places
Place the decimal point:
→
77.8918
✔ Answer: 77.8918
---
2) 3.268 ÷ 86
Divide 3.268 by 86.
Since 86 > 3.268, result will be less than 1.
Do long division or use calculator:
3.268 ÷ 86 = 0.038
Check: 86 × 0.038 = 3.268 ✔️
✔ Answer: 0.038
---
3) 9.3 × 4.2
Multiply: 93 × 42 = 3906
Decimal places: 9.3 (1) + 4.2 (1) = 2 → move decimal 2 places left
→
39.06
✔ Answer: 39.06
---
4) 11.4 + 61.3
Align decimals:
```
11.4
+ 61.3
------
72.7
```
✔ Answer: 72.7
---
5) 9.8 × 7.51
Multiply 98 × 751 = 73,598
Decimal places: 9.8 (1) + 7.51 (2) = 3 → move decimal 3 places left
→
73.598
✔ Answer: 73.598
---
6) 24.09 - 21.46
Align decimals:
```
24.09
- 21.46
-------
2.63
```
✔ Answer: 2.63
---
7) 13.59 + 16.19
Align decimals:
```
13.59
+ 16.19
-------
29.78
```
✔ Answer: 29.78
---
8) 945 ÷ 0.21
To divide by a decimal, multiply numerator and denominator by 100 to eliminate decimal:
945 ÷ 0.21 = (945 × 100) ÷ (0.21 × 100) = 94,500 ÷ 21
Now divide: 94,500 ÷ 21 = 4,500
✔ Answer: 4500
---
9) 1,794 ÷ 0.13
Multiply numerator and denominator by 100:
1,794 ÷ 0.13 = 179,400 ÷ 13
Now divide: 179,400 ÷ 13 = 13,800
✔ Answer: 13800
---
10) 52.07 - 49.56
Align decimals:
```
52.07
- 49.56
-------
2.51
```
✔ Answer: 2.51
---
11) 89.64 - 32.5
Write 32.5 as 32.50 for alignment:
```
89.64
- 32.50
-------
57.14
```
✔ Answer: 57.14
---
12) 76.44 + 30.602
Align decimals (add trailing zero):
```
76.440
+ 30.602
---------
107.042
```
✔ Answer: 107.042
---
✔ Final Answers (to fill in the "Answers" column):
1.
77.8918
2.
0.038
3.
39.06
4.
72.7
5.
73.598
6.
2.63
7.
29.78
8.
4500
9.
13800
10.
2.51
11.
57.14
12.
107.042
Let me know if you’d like to see any of the calculations shown in long-form!
Parent Tip: Review the logic above to help your child master the concept of add subtract multiply and divide decimals worksheet.