Question

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

0.375
0.375

2.66
2.66

3.375
3.375

33.75

Answer 1

To convert 338 to a decimal using long division, we need to divide 338 by 1000 to get the decimal.

Let's perform the long division:

1. Start with 338 and divide by 1000.
2. Since 338 is less than 1000, we can write it as 0.338 initially.
3. To convert it into a form we can divide directly, we can multiply by 10 (moving the decimal point one place right) to get 3380.
4. Now divide 3380 by 1000:
- 1000 goes into 3380 three times (3 x 1000 = 3000).
- Subtract 3000 from 3380, which gives us 380.
- Bring down a zero, making it 3800.
- 1000 goes into 3800 three times (3 x 1000 = 3000).
- Subtract 3000 from 3800, which gives us 800.
- Bring down another zero, making it 8000.
- 1000 goes into 8000 eight times (8 x 1000 = 8000).
- Subtract 8000 from 8000, which gives us 0.

Since the decimal is 0.338, we can conclude that the decimal equivalent of 338/1000 is:

The answer is: **0.338**.

However, since this is about long division of 338 itself, and not dividing by 1000, we need to simplify:

### Actual Long Division
Divide 338 simply:
- In long division for 0.375, the closest number from the provided options would be 3.375 (3 remains from division by 1, and we would carry over 0.375 after factoring in 1000).

The final answer is **3.375**.