Question

Use long division to convert 13/20 to a decimal. (1 point)

Answer 1

To convert 13/20 to a decimal using long division, follow these steps:

1) Write down the dividend (13) inside the division bracket, and the divisor (20) outside the division bracket.

```
______
20 | 13
```

2) Divide the first digit of the dividend (1) by the divisor (20). The result is 0. Write this result above the dividend.

```
______
20 | 13
- 0
```

3) Multiply the result (0) by the divisor (20) and subtract it from the first digit of the dividend (13). Write the result below the line.

```
______
20 | 13
- 0
13
```

4) Bring down the next digit of the dividend (3) to the right of the result.

```
______
20 | 13
- 0
13
____
30
```

5) Divide the new number (30) by the divisor (20). The result is 1. Write this result above the line.

```
______
20 | 13
- 0
13
____
30
- 20
10
```

6) Multiply the result (1) by the divisor (20) and subtract it from the new number (30). Write the result below the line.

```
______
20 | 13
- 0
13
____
30
- 20
10
```

7) There are no more digits to bring down, so the division is done. The remainder is 10.

The decimal representation of 13/20 is 0.65.