Let’s solve each problem step by step.
---
1. 0.2 + 2.4 =
Align the decimals and add:
```
0.2
+ 2.4
-----
2.6
```
✔ Answer: 2.6
---
2. 3.5 + 3.91 =
We can write 3.5 as 3.50 to match decimal places:
```
3.50
+ 3.91
------
7.41
```
✔ Answer: 7.41
---
3. 7.81 – 2.9 =
Write 2.9 as 2.90:
```
7.81
- 2.90
------
4.91
```
✔ Answer: 4.91
---
4. 0.27 × 100 =
Multiplying by 100 moves the decimal point two places to the right:
0.27 → 27.00
✔ Answer: 27
---
5. 0.2 × 0.4 =
Multiply as whole numbers first: 2 × 4 = 8
Count total decimal places: 0.2 has 1, 0.4 has 1 → total 2 decimal places
So, place decimal two places from right: 0.08
✔ Answer: 0.08
---
6. Show your work: 612.66 ÷ 6
This is long division.
```
102.11
_________
6 ) 612.66
-6
----
12
-12
----
06
- 6
----
06
- 6
----
0
```
Breakdown:
- 6 goes into 6 once → write 1 (hundreds place)
- 6 goes into 1? No → write 0 (tens place), bring down 2 → 12
- 6 goes into 12 twice → write 2 (ones place)
- Bring down decimal point
- Bring down 6 → 6
- 6 goes into 6 once → write 1 (tenths place)
- Bring down 6 → 6
- 6 goes into 6 once → write 1 (hundredths place)
✔ Answer: 102.11
---
7. Show your work: 10.3 × 12
We’ll use standard multiplication:
```
10.3
× 12
------
206 ← 10.3 × 2
1030 ← 10.3 × 10 (shifted one place left)
------
123.6
```
Steps:
- Multiply 10.3 × 2 = 20.6
- Multiply 10.3 × 10 = 103.0
- Add: 20.6 + 103.0 = 123.6
Alternatively, ignore decimals first:
103 × 12 = 1236
Now, original numbers had 1 decimal place (in 10.3) → so answer has 1 decimal place → 123.6
✔ Answer: 123.6
---
✔ Final Answers:
1.
2.6
2.
7.41
3.
4.91
4.
27
5.
0.08
6.
102.11 (work shown above)
7.
123.6 (work shown above)
You’re all set! 🎉
Parent Tip: Review the logic above to help your child master the concept of adding subtracting multiplying and dividing decimals worksheet.