Question

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

≈5.3
approximately equals 5.3

5.1875
5.1875

5.36
5.36

0.1875

Answer 1

To convert the whole number 5316 into a decimal using long division, we typically divide by a power of 10 to determine the position of the decimal.

If we assume you want to convert it to a decimal (as in converting it to a fraction of a smaller number like 1000), we can consider dividing it by 1000:

1. Divide 5316 by 1000 using long division:
- 1000 fits into 5316 five (5) times because 5 x 1000 = 5000.
- Subtract 5000 from 5316, which gives 316.
- Since we are looking for a decimal, we can add a decimal point and two zeros to 316 (making it 31600).

2. Now, divide 31600 by 1000:
- 1000 fits into 3160 three (3) times because 3 x 1000 = 3000.
- Subtract 3000 from 3160, which gives 160.
- Bring down the next zero (making it 1600).

3. Divide 1600 by 1000:
- 1000 fits into 1600 one (1) time because 1 x 1000 = 1000.
- Subtract 1000 from 1600, which gives 600.
- Bring down the next zero (making it 6000).

4. Divide 6000 by 1000:
- 1000 fits into 6000 six (6) times because 6 x 1000 = 6000.
- Subtract 6000 from 6000, which gives 0.

Putting it all together, we have:

5316 ÷ 1000 = 5.316

However, if we were meant to convert a specific part of the number, that context wasn't provided.

But based on the responses you provided:

- **≈5.3** (5.3) is an approximate conversion, not exact.
- **5.1875** does not relate to 5316, it seems incorrect.
- **5.36** is again an approximation.
- **0.1875** does not relate to 5316 as a whole number.

Given these insights, the correct conversion of 5316 to a decimal as addressed above would be **5.316**. However, as this option is not listed in your responses, **≈5.3** would be the closest correct approximation if we focus on fewer decimal places.