Convert 6/32
6
32
to a decimal using long division.(1 point)
Responses
1.875
1.875
0.1875
0.1875
6.32
6.32
0.2
0.1875
To convert 6/32 into a decimal using long division, follow these steps:
1. Write 6 as the dividend and 32 as the divisor.
____
32 | 6
2. Divide the first digit of the dividend (6) by the divisor (32). The result is 0.
____
32 | 6
-
3. Bring down the next digit of the dividend (0).
______
32 | 60
-
4. Divide the new dividend (60) by the divisor (32). The result is 1.
______
32 | 60
- 32
----
28
5. Bring down the next digit of the dividend (0).
______
32 | 600
- 32
----
280
6. Divide the new dividend (280) by the divisor (32). The result is 8.
______
32 | 600
- 32
----
280
- 256
----
24
7. Bring down the next digit of the dividend (0).
______
32 | 6000
- 32
----
280
- 256
----
240
8. Divide the new dividend (240) by the divisor (32). The result is 7.
______
32 | 6000
- 32
----
280
- 256
----
240
- 224
----
16
9. Bring down the next digit of the dividend (0).
______
32 | 60000
- 32
----
280
- 256
----
240
- 224
----
16
10. Divide the new dividend (160) by the divisor (32). The result is 5.
______
32 | 60000
- 32
----
280
- 256
----
240
- 224
----
160
- 160
----
0
11. The long division ends because there is no more remainder.
Therefore, the decimal representation of 6/32 is 0.1875.