Question

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

≈6.14285
approximately equals 6.14285

≈6.47
approximately equals 6.47

6.715
6.715

≈0.46
approximately equals 0.46

Answer 1

To convert 6715 to a decimal using long division, we need to assume that we are dividing it by 1000 to find its equivalent in decimal form. This is because converting a whole number to a decimal typically involves dividing it by a power of ten.

1. **Set up the division**: In this case, we will divide 6715 by 1000.

2. **Perform the division**:
- 1000 goes into 6715 six times (since \(6 \times 1000 = 6000\)).
- Subtract 6000 from 6715, giving us 715.
- Now we need to include the decimal point. Since 1000 has three zeros, we add three decimal places to the quotient.
- Bring down a zero making it 7150.
- Now, 1000 goes into 7150 seven times (since \(7 \times 1000 = 7000\)).
- Subtract 7000 from 7150, giving us 150.
- Bring down another zero making it 1500.
- 1000 goes into 1500 one time (since \(1 \times 1000 = 1000\)).
- Subtract 1000 from 1500, giving us 500.
- Bring down another zero making it 5000.
- 1000 goes into 5000 five times (since \(5 \times 1000 = 5000\)).
- Subtract 5000 from 5000, giving us 0.

3. **Combining the results**:
- So we have \(6.715\) as the result of \(6715 \div 1000\).

The final result, therefore, is:

**6.715**

So the answer from the choices provided is **6.715**.