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

1 answer

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!