Use long division to convert 11/20 to a decimal.(1 point)
To convert 11/20 to a decimal using long division, you would divide 11 by 20:
0.5
_______
20 | 11.0
- 20
11
_______
10
Since 20 does not divide evenly into 11, we can add a decimal point and a zero after the 11, then bring it down to continue the division:
0.55
_______
20 | 11.00
- 20
11
_______
10
There is still a remainder of 10, so we can add another decimal point and another zero after the 10, then bring it down again:
0.55
_______
20 | 11.00
- 20
11
_______
10
0.55
_______
20 | 11.000
- 20
11
_______
10
We can continue this process of adding zeros and bringing them down until we have enough decimal places, or until we get a repeating pattern:
0.55
_______
20 | 11.0000
- 20
11
_______
10
0.55
_______
20 | 11.0000
- 20
11
_______
10
0.55
_______
20 | 11.0000
- 20
11
_______
10
As we can see, the remainder remains 10 and the long division process does not terminate. Hence, 11/20 in decimal form is 0.55, with an ellipsis or a line above the 5 to indicate that the pattern repeats.