Question

Use long division to convert 316%0D%0A3%0D%0A16%0D%0A to a decimal.(1 point)

Answer 1

To convert 316% to a decimal using long division, we first need to understand that percent means "per hundred." Thus, 316% can be expressed as \( \frac{316}{100} \).

Here's how we would perform the division:

1. Set up for long division: Divide 316 by 100.
2. Since 100 cannot fit into 3, look at the first two digits (31). 100 also doesn't fit into 31.
3. Now look at the entire number 316.
4. 100 fits into 316 three times (\(100 \times 3 = 300\)).
5. Subtract 300 from 316, which gives you \(316 - 300 = 16\).
6. Now add a decimal point and a zero (because we're converting it to a decimal), making it 160.
7. 100 goes into 160 once (\(100 \times 1 = 100\)).
8. Subtract 100 from 160, which gives you \(160 - 100 = 60\).
9. Add another zero, making it 600.
10. 100 goes into 600 six times (\(100 \times 6 = 600\)).
11. Subtract 600 from 600, which results in 0.

Now we have the result of the long division, which gives us:

\[
316 \div 100 = 3.16
\]

Thus, 316% expressed as a decimal is **3.16**.