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

Let's solve each problem step by step:

---

Problem 1: \( 77.2 - 43.778 \)

1. Align the decimal points:
```
77.200
-43.778
```
2. Subtract:
```
77.200
-43.778
_______
33.422
```

Answer: \( 33.422 \)

---

Problem 2: \( 2.072 \div 5.6 \)

1. To simplify, multiply both numbers by 10 to eliminate the decimal in the divisor:
\[
2.072 \div 5.6 = \frac{2.072 \times 10}{5.6 \times 10} = \frac{20.72}{56}
\]
2. Perform the division:
\[
20.72 \div 56 = 0.37
\]

Answer: \( 0.37 \)

---

Problem 3: \( 6.811 \times 4.997 \)

1. Multiply the numbers as if they were whole numbers:
\[
6811 \times 4997 = 34037167
\]
2. Count the total number of decimal places in the factors (3 in \( 6.811 \) and 3 in \( 4.997 \)):
\[
3 + 3 = 6 \text{ decimal places}
\]
3. Place the decimal point in the product:
\[
6.811 \times 4.997 = 34.037167
\]

Answer: \( 34.037167 \)

---

Problem 4: \( 27.001 - 7.5 \)

1. Align the decimal points:
```
27.001
- 7.500
```
2. Subtract:
```
27.001
- 7.500
_______
19.501
```

Answer: \( 19.501 \)

---

Problem 5: \( 4.23 \times 9 \)

1. Multiply as if they were whole numbers:
\[
423 \times 9 = 3807
\]
2. Count the decimal places in the factors (2 in \( 4.23 \) and 0 in \( 9 \)):
\[
2 + 0 = 2 \text{ decimal places}
\]
3. Place the decimal point in the product:
\[
4.23 \times 9 = 38.07
\]

Answer: \( 38.07 \)

---

Problem 6: \( 19.2 + 31.82 \)

1. Align the decimal points:
```
19.20
+31.82
```
2. Add:
```
19.20
+31.82
_______
51.02
```

Answer: \( 51.02 \)

---

Problem 7: \( 97.68 - 32.3 \)

1. Align the decimal points:
```
97.68
-32.30
```
2. Subtract:
```
97.68
-32.30
_______
65.38
```

Answer: \( 65.38 \)

---

Problem 8: \( 0.468 \div 6.5 \)

1. To simplify, multiply both numbers by 10 to eliminate the decimal in the divisor:
\[
0.468 \div 6.5 = \frac{0.468 \times 10}{6.5 \times 10} = \frac{4.68}{65}
\]
2. Perform the division:
\[
4.68 \div 65 = 0.072
\]

Answer: \( 0.072 \)

---

Problem 9: \( 0.6144 \div 1.6 \)

1. To simplify, multiply both numbers by 10 to eliminate the decimal in the divisor:
\[
0.6144 \div 1.6 = \frac{0.6144 \times 10}{1.6 \times 10} = \frac{6.144}{16}
\]
2. Perform the division:
\[
6.144 \div 16 = 0.384
\]

Answer: \( 0.384 \)

---

Problem 10: \( 4.4 \times 2.727 \)

1. Multiply as if they were whole numbers:
\[
44 \times 2727 = 119988
\]
2. Count the decimal places in the factors (1 in \( 4.4 \) and 3 in \( 2.727 \)):
\[
1 + 3 = 4 \text{ decimal places}
\]
3. Place the decimal point in the product:
\[
4.4 \times 2.727 = 11.9988
\]

Answer: \( 11.9988 \)

---

Problem 11: \( 20.97 + 85.62 \)

1. Align the decimal points:
```
20.97
+85.62
```
2. Add:
```
20.97
+85.62
_______
106.59
```

Answer: \( 106.59 \)

---

Problem 12: \( 48 + 58.1 \)

1. Align the decimal points:
```
48.0
+58.1
```
2. Add:
```
48.0
+58.1
_______
106.1
```

Answer: \( 106.1 \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 33.422 \\
2. & 0.37 \\
3. & 34.037167 \\
4. & 19.501 \\
5. & 38.07 \\
6. & 51.02 \\
7. & 65.38 \\
8. & 0.072 \\
9. & 0.384 \\
10. & 11.9988 \\
11. & 106.59 \\
12. & 106.1 \\
\end{array}
}
\]