Use long division to convert 7/11 to a decimal.(1 point)
Responses
7.11
7.11
≈1.571428
approximately equals 1.571428
≈0.63
approximately equals 0.63
63
0.63636363...
To convert 7/11 to a decimal using long division, follow these steps:
1. Set up the long division problem with 7 as the dividend and 11 as the divisor. Place the decimal point in the quotient above the division symbol.
_____
11 | 7
2. Divide 7 by 11. Since 11 does not evenly divide into 7, we need to add a decimal and a placeholder zero. Place the decimal point in the quotient above the division symbol, and add a zero after the decimal point in the dividend.
_____
11 | 7.0
3. Divide 70 by 11. The quotient is 6 with a remainder of 4. Write the quotient (6) above the division symbol and write the remainder (4) to the right of the division symbol.
6
_____
11 | 7.0
- 6.6
---
40
4. Bring down the next digit from the dividend (which is 0) and place it after the remainder.
6
_____
11 | 7.00
- 6.6
---
40
--
0
5. Divide 40 by 11. The quotient is 3 with a remainder of 7. Write the quotient (3) above the division symbol and write the remainder (7) to the right of the division symbol.
63
_____
11 | 7.00
- 6.6
---
40
--
7
6. Bring down another zero from the dividend (which is 0) and place it after the remainder.
63
_____
11 | 7.00
- 6.6
---
40
--
70
--
0
7. Divide 70 by 11. The quotient is 6 with a remainder of 4. Write the quotient (6) above the division symbol and write the remainder (4) to the right of the division symbol.
63
_____
11 | 7.00
- 6.6
---
40
--
70
--
40
--
0
8. Keep bringing down zeros and repeating the process until you reach the desired level of decimal places or the pattern repeats. In this case, since we reached a remainder of 0, there is no need to continue.
Therefore, 7/11 as a decimal is approximately 0.636363... (the 63 repeating).