Use long division to convert 338 to a decimal.(1 point)
Responses
0.375
0.375
33.75
33.75
2.66
2.66
3.375
3.375
To convert 338 to a decimal using long division, you can follow these steps:
1. Place the dividend (338) inside the division bracket and the divisor (1) outside the bracket.
338
_______
2. Divide the first digit of the dividend (3) by the divisor (1). The result is 3.
3|338
-
3. Multiply the result (3) by the divisor (1) and subtract it from the first set of digits in the dividend (3 - 3 = 0).
3|338
-3
---
0
4. Bring down the next digit from the dividend (3) to the right of the result.
3|338
-3
---
03
5. Divide the new number (30) by the divisor (1). The result is 30.
3|338
-3
---
30
6. Multiply the result (30) by the divisor (1) and subtract it from the set of digits in the dividend (30 - 30 = 0).
3|338
-3
---
030
- 30
-----
0
7. Bring down the next digit from the dividend (8) to the right of the result.
3|338
-3
---
030
- 30
-----
08
8. Divide the new number (80) by the divisor (1). The result is 80.
3|338
-3
---
030
- 30
-----
080
9. Multiply the result (80) by the divisor (1) and subtract it from the set of digits in the dividend (80 - 80 = 0).
3|338
-3
---
030
- 30
-----
080
- 80
-----
0
Since there is no remainder left, the division process is complete. The quotient obtained from dividing 338 by 1 is 338.
Therefore, 338 as a decimal is 338.