Question

Use long division to convert 7/11 to a decimal.(1 point)
Responses

7.11
7.11

63
63

≈1.571428
approximately equals 1.571428

≈0.63
approximately equals 0.63

Answer 1

To convert 7/11 to a decimal using long division:

11 ) 7.000
- 0 - (subtract the product of 1 and 11 from 7, which is 11)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.00
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.00
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
7.000
- 0 - (subtract the product of 0 and 11 from 7, which is 0)
------
0 - (no more digits to bring down)
------

The long division process continues indefinitely, but we can see that after the decimal point, the remainder becomes 0. Therefore, 7/11 as a decimal is approximately equal to 0.636363... which can be rounded to 0.63.