Use long division to convert 7/11 to a decimal.(1 point)
Responses
0.6363636363636364
that's not a choice
Apologies for the confusion. Using long division, 7 ÷ 11 can be expressed as:
0.6363...
--------------
11| 7.000
-66
-----
40
-33
-----
70
-66
-----
40
-33
-----
70
-66
-----
40
-33
-----
70
-66
-----
40
-33
-----
70
-66
-----
40
-33
-----
70
-66
-----
40
-33
-----
70
The pattern repeats indefinitely, so the decimal representation of 7/11 is 0.636363...
To convert 7/11 to a decimal using long division, follow these steps:
1. Divide the numerator (7) by the denominator (11). Write down the quotient (the whole number part) above the division symbol.
- Quotient: 0
2. Multiply the quotient (0) by the denominator (11): 0 * 11 = 0. Write the result (0) below the numerator.
3. Subtract the result (0) from the numerator (7): 7 - 0 = 7. Write the difference (7) below the subtraction line.
4. Bring down the next digit, which is 0, from the dividend (7/11).
5. Repeat steps 1-3: Divide the new numerator (70) by the denominator (11). Write the quotient (6) above the division symbol.
- Quotient: 0.6
6. Multiply the new quotient (0.6) by the denominator (11): 0.6 * 11 = 6.6. Write the result (6.6) below the new numerator.
7. Subtract the result (6.6) from the new numerator (70): 70 - 66 = 4. Write the difference (4) below the subtraction line.
8. Bring down the next digit, which is 0, from the dividend (7/11).
9. Repeat steps 1-3: Divide the new numerator (40) by the denominator (11). Write the quotient (3) above the division symbol.
- Quotient: 0.63
10. Multiply the new quotient (0.63) by the denominator (11): 0.63 * 11 = 6.93. Write the result (6.93) below the new numerator.
11. Subtract the result (6.93) from the new numerator (40): 40 - 69 = -29. Write the difference (-29) below the subtraction line.
12. Since we can no longer bring down any more digits, the division process ends.
13. The final quotient is 0.63 (rounded to two decimal places).
Therefore, 7/11 as a decimal is approximately 0.63.