Use long division to convert 415 to a decimal.(1 point)

Question

Responses

3.75
3.75

≈0.27
approximately equals 0.27

26
26

4.15

Answer 1

To convert 415 to a decimal using long division, we need to express it as a fraction. Typically, we might express 415 as \( \frac{415}{100} \) to find its decimal equivalent since "to a decimal" usually pertains to a number out of a base of 10.

In this case, you'll perform the division of 415 by 100:

1. 100 goes into 415 four times (because \( 100 \times 4 = 400 \)).
2. Subtract 400 from 415, which leaves a remainder of 15.
3. Bring down a 0 (to make it 150).
4. 100 goes into 150 once (because \( 100 \times 1 = 100 \)).
5. Subtract 100 from 150, which leaves a remainder of 50.
6. Bring down another 0 (to make it 500).
7. 100 goes into 500 five times (because \( 100 \times 5 = 500 \)).
8. Subtract 500 from 500, which leaves a remainder of 0.

Thus, performing the long division gives:

\[ 415 \div 100 = 4.15 \]

So, the decimal representation of 415 is 4.15.

The correct response is:

4.15