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

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To convert 7/11 to a decimal using long division, follow these steps:

1. Set up the long division problem by writing 7 as the dividend and 11 as the divisor:
____
11| 7

2. Divide the first digit of the dividend (7) by the divisor (11). Since 11 does not divide evenly into 7, the result is 0. Write this result above the division line:
____
11| 7
0

3. Bring down the next digit from the dividend, which is 0, and place it next to the remainder (7):
____
11| 7
0

4. Divide the new dividend (70) by the divisor (11). 11 divides into 70 without a remainder, and the result is 6. Write this result above the division line next to the previous one:
____
11| 7
0.6

5. Since there are no more digits in the dividend, the division is complete. The remainder is 0, so the decimal representation of 7/11 is 0.6.

Therefore, 7/11, when converted to a decimal using long division, is approximately equal to 0.6.