Question

Use long division to convert 5316 to a decimal.(1 point)
Responses

≈5.3
approximately equals 5.3

5.1875
5.1875

0.1875
0.1875

5.36
5.36

Answer 1

To convert 5316 to a decimal using long division, we need to divide 5316 by a number. Since you haven't specified what you want to divide by, I will assume you meant to divide by 1000 to shift the decimal place.

5316 divided by 1000 gives:

1. Set up the division:

```
5.316
_______
1000 | 5316.000
```

2. You would first take 5316, which goes 5 times into 10000:
- 5 (which translates to 5000 when multiplied by 1000)
- 5316 - 5000 = 316 (remainder)

3. Now, bring down a zero, making it 3160.
- 1000 into 3160 goes 3 times (3000).
- 3160 - 3000 = 160 (remainder)

4. Bring down another zero, making it 1600.
- 1000 into 1600 goes 1 time (1000).
- 1600 - 1000 = 600 (remainder)

5. Bring down another zero, making it 6000.
- 1000 into 6000 goes 6 times (6000).
- 6000 - 6000 = 0 (remainder)

Now, combining these results yields:

\[
5316 \div 1000 = 5.316
\]

However, none of the provided responses exactly match this result. The closest options to choose from are:

- **≈5.3**
- **5.1875**
- **0.1875**
- **5.36**

Among these options, **≈5.3** is the best choice as it effectively represents the number rounded off.

If you were looking for conversion to a different decimal with a specific divisor, please clarify and I will rerun the division based on that.