Question

Use long division to convert 6715 to a decimal.(1 point)
Responses

≈0.46
approximately equals 0.46

6.715
6.715

≈6.14285
approximately equals 6.14285

≈6.47

Answer 1

To convert 6715 into a decimal using long division, we interpret this as dividing 6715 by 1000.

Let's perform the division of 6715 by 1000.

1. **Set up the long division**:
- 6715 is the dividend.
- 1000 is the divisor.

2. **Start dividing**:
- How many times does 1000 go into 6715? It goes 6 times (because \(1000 \times 6 = 6000\)).
- Write 6 above the division line.

3. **Subtract**:
- \(6715 - 6000 = 715\).

4. **Bring down the next digit**:
- Since we are dividing into 1000, we could imagine bringing down two zeroes, but because we are converting to a decimal, we can actually start placing a decimal after the 6.
- Thus, we have \(6.715\).

This means that \(6715 = 6.715\) when converted to a decimal.

So the answer is:

**6.715**