Convert 6/32
to a decimal using long division.(1 point)
Responses
1.875
1.875
0.2
0.2
6.32
6.32
0.1875
0.1875
To convert 6/32 to a decimal using long division, we divide 6 by 32:
__0. <-- This is where the decimal point will go
32 | 6
- ---
6
- ---
0
Since 6 is smaller than 32, we can add a decimal point and a zero after the decimal point. Next, we bring down the next digit, which is 0, and divide it by 32:
__0.0
32 | 6
- ---
60
- ---
0
Since 60 is still smaller than 32, we bring down another zero and continue the process. We divide 0 by 32:
__0.00
32 | 6
- ----
600
- ----
0
Finally, we bring down one more zero and divide it by 32:
__0.000
32 | 6
- ----
6000
- ----
0
At this point, we see that the division is repeating 0's and there will be no further digits after the decimal point. Therefore, the decimal representation of 6/32 is 0.1875.