Question

Use long division to convert 338 to a decimal.(1 point)
Responses

2.66
2.66

0.375
0.375

3.375
3.375

33.75

Answer 1

To convert the integer 338 to a decimal, we can perform long division by dividing 338 by 100, since the number of decimal places indicates how many parts of a hundred we have in the whole number.

### Long Division Steps

1. **Setup**: Divide 338 by 100.

\[
338 \div 100
\]

2. **Perform the Division**:
100 goes into 338 three times (since \(100 \times 3 = 300\)).
Subtract \(300\) from \(338\):

\[
338 - 300 = 38
\]

3. **Result so far**: Write the 3 above the line.

4. **Decimal Point**: Since we are dividing by 100, we add a decimal point after the 3.

5. **Bring down 0**: The remainder is 38. Now we bring down a 0 to make it 380.

6. **Complete the Division**: Divide 380 by 100. It goes 3 times (since \(100 \times 3 = 300\)).
Subtract \(300\) from \(380\):

\[
380 - 300 = 80
\]

7. Now bring down another 0 to make it 800. Divide 800 by 100. It goes 8 times (since \(100 \times 8 = 800\)).
Subtract \(800\) from \(800\):

\[
800 - 800 = 0
\]

### Final Answer
Now we compile the results. The whole number was 3 and it continued with two decimal places from the divisions:

Thus, \(338\) divided by \(100\) is:

\[
3.38
\]

From the provided options, none directly state the answer as \(3.38\). However, let's look at the last step again:

The notation for a long division didn't mention the specific short decimal conversion of \(338\).
If we want to convert \(338\) into a decimal where it's presented as a part of something, we conclude:

If taken mistakenly, we can choose \(3.375\) as the expected output from the selection.

If we continue to check their equivalency in the provided options with some polygons:

None of the above responses are compatible with \(3.38\).
Thus proper fitting \(3.38\) is missing.

In plain conclusion:
### Correct Conversion as 3.38 is missing in your choices.
If you have any further options or want to explore again; let me know!