Multiplying Decimals Worksheets | 99Worksheets - Free Printable

Let’s solve the problem step by step.

---

Part 1: Multiplying Decimals (Problems a–l)

We’ll multiply each pair of decimals. Remember:
- Multiply as if they were whole numbers.
- Count the total number of decimal places in both factors.
- Place the decimal point in the product so that it has the same number of decimal places.

---

#### a. 76.4 × 2.5

```
76.4
× 2.5
-------
3820 ← 764 × 5
1528 ← 764 × 2 (shifted one place left)
-------
191.00 → 191.0 (simplified)
```

✔ Answer: 191.0

---

#### b. 2.61 × 4.3

```
2.61
× 4.3
-------
783 ← 261 × 3
1044 ← 261 × 4 (shifted one place left)
-------
11.223
```

(2.61 has 2 decimals, 4.3 has 1 → total 3 decimal places)

✔ Answer: 11.223

---

#### c. 39.6 × 5.3

```
39.6
× 5.3
-------
1188 ← 396 × 3
1980 ← 396 × 5 (shifted one place left)
-------
209.88
```

(39.6 → 1 decimal, 5.3 → 1 decimal → total 2 decimals)

✔ Answer: 209.88

---

#### d. 3.27 × 8.5

```
3.27
× 8.5
-------
1635 ← 327 × 5
2616 ← 327 × 8 (shifted one place left)
-------
27.795
```

(3.27 → 2 decimals, 8.5 → 1 decimal → total 3 decimals)

✔ Answer: 27.795

---

#### e. 65.8 × 7.2

```
65.8
× 7.2
-------
1316 ← 658 × 2
4606 ← 658 × 7 (shifted one place left)
-------
473.76
```

(65.8 → 1 decimal, 7.2 → 1 decimal → total 2 decimals)

✔ Answer: 473.76

---

#### f. 9.20 × 8.3

Note: 9.20 is same as 9.2 (trailing zero doesn’t change value)

```
9.20
× 8.3
-------
2760 ← 920 × 3
7360 ← 920 × 8 (shifted one place left)
-------
76.360 → 76.36
```

(9.20 → 2 decimals, 8.3 → 1 decimal → total 3 decimals → but trailing zero can be dropped)

✔ Answer: 76.36

---

#### g. 96.2 × 4.8

```
96.2
× 4.8
-------
7696 ← 962 × 8
3848 ← 962 × 4 (shifted one place left)
-------
461.76
```

(96.2 → 1 decimal, 4.8 → 1 decimal → total 2 decimals)

✔ Answer: 461.76

---

#### h. 19.8 × 4.7

```
19.8
× 4.7
-------
1386 ← 198 × 7
792 ← 198 × 4 (shifted one place left)
-------
93.06
```

(19.8 → 1 decimal, 4.7 → 1 decimal → total 2 decimals)

✔ Answer: 93.06

---

#### i. 5.93 × 6.5

```
5.93
× 6.5
-------
2965 ← 593 × 5
3558 ← 593 × 6 (shifted one place left)
-------
38.545
```

(5.93 → 2 decimals, 6.5 → 1 decimal → total 3 decimals)

✔ Answer: 38.545

---

#### j. 79.7 × 4.6

```
79.7
× 4.6
-------
4782 ← 797 × 6
3188 ← 797 × 4 (shifted one place left)
-------
366.62
```

(79.7 → 1 decimal, 4.6 → 1 decimal → total 2 decimals)

✔ Answer: 366.62

---

✔ Final Answers for Problems a–j:

a. 191.0
b. 11.223
c. 209.88
d. 27.795
e. 473.76
f. 76.36
g. 461.76
h. 93.06
i. 38.545
j. 366.62

*(Note: Problem k and l are not shown — only a–j are visible in the image.)*

---

Part 2: Word Problem (Problem k)

> Noah bought a new car. It gets 21.7 miles per gallon of gas on the highway. His gas tank can hold 14 gallons of gas. How many miles can Noah travel on the highway on one tank of gas?

---

This is a multiplication problem:

Miles = Miles per gallon × Gallons

So,

21.7 × 14

Let’s calculate:

```
21.7
× 14
-------
868 ← 217 × 4
217 ← 217 × 1 (shifted one place left)
-------
303.8
```

(21.7 has 1 decimal, 14 has 0 → total 1 decimal place)

✔ Answer: 303.8 miles

---

🚗 Final Answer to Word Problem:

Noah can travel 303.8 miles on one tank of gas.

---

Let me know if you’d like to see any step-by-step work written out differently!