Adding, Subtracting, Multiplying and Dividing Decimals worksheet ... - Free Printable

Let's solve each problem step by step and provide the correct answers.

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1) 77.2 - 43.778

Align decimals:
```
77.200
- 43.778
--------
33.422
```
✔ Answer: 33.422

---

2) 2.072 ÷ 5.6

To divide decimals, convert divisor to whole number:
- Multiply both numbers by 10:
20.72 ÷ 56

Now divide:
- 56 into 207 → 3 (56×3=168), subtract: 207–168=39
- Bring down 2 → 392
- 56 into 392 = 7 (56×7=392)

So: 20.72 ÷ 56 = 0.37

✔ Answer: 0.37

---

3) 6.811 × 4.997

Multiply as whole numbers first:
- 6811 × 4997 = ?

But easier to estimate or use calculator-style multiplication:

Approximate:
- 6.811 ≈ 6.81
- 4.997 ≈ 5.00

But let's do precise calculation:

First, ignore decimals:
6811 × 4997 = ?

Alternatively, compute directly:
6.811 × 4.997 = ?

Use approximation or decimal multiplication:

We can write:
6.811 × 4.997 = 6.811 × (5 - 0.003) = (6.811×5) - (6.811×0.003)

= 34.055 - 0.020433 = 34.034567

✔ Answer: 34.034567 (or round to nearest thousandth: 34.035)

But let’s verify with standard multiplication:

```
6.811
× 4.997
-------
47677 ← 6811 × 7
68110 ← 6811 × 90 (shifted)
68110 ← 6811 × 900 (shifted)
27244 ← 6811 × 4000 (shifted)
-------------
34.034567
```

✔ Answer: 34.034567

---

4) 27.001 - 7.5

Align decimals:
```
27.001
- 7.500
--------
19.501
```
✔ Answer: 19.501

---

5) 4.23 × 9

Multiply:
4.23 × 9 = 38.07

✔ Answer: 38.07

---

6) 19.2 + 31.82

Align decimals:
```
19.20
+ 31.82
-------
51.02
```
✔ Answer: 51.02

---

7) 97.68 - 32.3

Align decimals:
```
97.68
- 32.30
-------
65.38
```
✔ Answer: 65.38

---

8) 0.468 ÷ 6.5

Convert to make divisor a whole number:
Multiply numerator and denominator by 10:
→ 4.68 ÷ 65

Now divide:
65 into 4.68

Add decimal and zeros:
4.68 ÷ 65 = ?

65 goes into 468 how many times?

65 × 7 = 455
468 - 455 = 13 → add 0 → 130
65 × 2 = 130 → exact

So: 0.072

✔ Answer: 0.072

---

9) 0.6144 ÷ 1.6

Multiply numerator and denominator by 10:
→ 6.144 ÷ 16

Now divide:
16 into 6.144

16 into 61 → 3 (16×3=48), remainder 13
Bring down 4 → 134
16 into 134 → 8 (16×8=128), rem 6
Bring down 4 → 64
16 into 64 = 4

So: 0.384

✔ Answer: 0.384

---

10) 4.4 × 2.727

Multiply:
4.4 × 2.727

First, 4 × 2.727 = 10.908
Then 0.4 × 2.727 = 1.0908
Add: 10.908 + 1.0908 = 11.9988

✔ Answer: 11.9988

---

11) 20.97 + 85.62

Add:
```
20.97
+ 85.62
-------
106.59
```
✔ Answer: 106.59

---

12) 48 + 58.1

Add:
```
48.0
+ 58.1
------
106.1
```
✔ Answer: 106.1

---

✔ Final Answers:

1. 33.422
2. 0.37
3. 34.034567 (or 34.035 if rounded)
4. 19.501
5. 38.07
6. 51.02
7. 65.38
8. 0.072
9. 0.384
10. 11.9988
11. 106.59
12. 106.1

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You can fill these in the "Answers" column on the worksheet accordingly. Let me know if you'd like a printable version or explanation of any specific step!