Use long division to convert 7/11 to a decimal.
To convert 7/11 to a decimal using long division, follow these steps:
1. Write 7 as the dividend inside the long division bracket and 11 as the divisor outside the bracket.
2. Divide 7 by 11. The quotient is 0.
3. Multiply the divisor (11) by 0 and write the result (0) below the dividend (7).
4. Subtract 0 from 7. The result is 7.
5. Bring down the next digit, which is 0, from the dividend.
6. Divide 70 (the current dividend) by 11 (the divisor). The quotient is 6.
7. Multiply the divisor (11) by 6 and write the result (66) below the current dividend (70).
8. Subtract 66 from 70. The result is 4.
9. Since there are no more digits to bring down, the division process ends.
Therefore, 7/11 expressed as a decimal is approximately 0.636363, where 36 repeats infinitely.
To convert 7/11 to a decimal using long division, follow these steps:
1. Write 7 as the dividend and 11 as the divisor.
```
______
11 | 7
```
2. Divide 7 by 11. Since 11 is larger than 7, we have to add a decimal point after 7 and add a zero after the decimal point.
```
______
11 | 7.0
```
Next, divide 7 by 11. The quotient is 0 since 0 is the largest whole number that can be multiplied by 11 and still be less than 7.
```
______
11 | 7.0
0
```
3. Bring down a zero after the decimal point. We now have 70 as the new dividend.
```
______
11 | 7.0
0
```
4. Divide 70 by 11. The quotient is 6 since 6 multiplied by 11 equals 66.
```
______
11 | 7.0
6
```
Subtract 66 from 70 to find the remainder, which is 4.
```
______
11 | 7.0
6
------
4
```
5. Bring down another zero after the remainder. We now have 40 as the new dividend.
```
______
11 | 7.0
6
------
4
```
6. Divide 40 by 11. The quotient is 3 since 3 multiplied by 11 equals 33.
```
______
11 | 7.0
6
------
4
3
```
Subtract 33 from 40 to find the remainder, which is 7.
```
______
11 | 7.0
6
------
4
3
-----
7
```
7. Bring down another zero after the remainder. We now have 70 as the new dividend.
```
______
11 | 7.0
6
------
4
3
-----
7
```
8. Divide 70 by 11. The quotient is 6 since 6 multiplied by 11 equals 66.
```
______
11 | 7.0
6
------
4
3
-----
7.2
```
9. The remainder after dividing 70 by 11 is 4. Since the remainder repeats, we can place a line over the repeating digits (in this case, 4).
```
______
11 | 7.0
6
------
4
3
-----
7.2
4
```
The decimal representation of 7/11 is 0.636363... (the repeating 4 can be written as 4̅).