Use long division to convert 6715

to a decimal.(1 point)
Responses

≈6.14285
approximately equals 6.14285

≈6.47
approximately equals 6.47

≈0.46
approximately equals 0.46

6.715

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To convert 6715 to a decimal using long division, we can interpret the number as 6715 divided by 1000, because moving the decimal point three places to the left gives us the decimal form.

The long division of 6715 by 1000 can be set up as follows:

1. **Set the division**: 6715 ÷ 1000.
2. **Perform the division**:
- 1000 goes into 6715 six times (because 1000 × 6 = 6000).
- Subtract 6000 from 6715, which gives us 715.
- Bring down the next two zeros (since we've divided by the three digits of 1000), which makes the next number 71500.

3. Continue dividing:
- 1000 goes into 71500 seventy-one times (because 1000 × 71 = 71000).
- Subtract 71000 from 71500, which gives us 500.
- Bring down another zero, making it 5000.

4. Divide again:
- 1000 goes into 5000 five times (because 1000 × 5 = 5000).
- Subtract 5000 from 5000, which gives us 0.

Putting it all together, we find that:

6715 ÷ 1000 = 6.715.

Thus, the decimal form of 6715 is **6.715**.

So the correct response is:
6.715