Question

Use long division to convert 711 to a decimal.(1 point)
Responses

63
63

≈0.63
approximately equals 0.63

≈1.571428
approximately equals 1.571428

7.11

Answer 1

To convert 711 to a decimal using long division, we can interpret 711 as \(711/100\), since we’re looking to express it as a decimal.

1. Set it up for long division: \(711 ÷ 100\).
2. Calculate how many times 100 goes into 711:
- 100 goes into 711 seven times because \(7 \times 100 = 700\).
3. Subtract \(700\) from \(711\):
- \(711 - 700 = 11\).
4. Now, bring down a 0 (making it 110) for the next step:
- 100 goes into 110 once because \(1 \times 100 = 100\).
5. Subtract \(100\) from \(110\):
- \(110 - 100 = 10\).
6. Bring down another 0 (making it 100):
- 100 goes into 100 once again.
7. Subtract \(100\) from \(100\):
- \(100 - 100 = 0\).

Putting it all together, you find that:

\[
711 ÷ 100 = 7.11
\]

Therefore, the decimal conversion of \(711\) is **7.11**.