Use long division to convert 7/11 to a decimal.(1 point)
Responses
7.11
7.11
≈1.571428
approximately equals 1.571428
63
63
≈0.63
The decimal form of 7/11 is approximately 0.636363...
To convert 7/11 to a decimal using long division, follow these steps:
1. Set up the long division problem by putting 7 as the dividend inside the division symbol and 11 as the divisor outside the division symbol.
__
11 │ 7
2. Find the quotient by dividing the first digit of the dividend (7) by the divisor (11). Write the quotient above the division symbol.
__
11 │ 7
-
3. Since 7 is smaller than 11, bring down the next digit (0) from the dividend.
__
11 │ 7
- 0
4. Divide 70 (combined 7 and 0) by 11. The quotient is 6 and write it above the division symbol.
__
11 │ 7
- 06
5. Multiply the quotient (6) by the divisor (11), subtract the result from 70, and bring down the next digit (0).
__
11 │ 7
- 06
-----
4
-
6. Divide 40 (combined 4 and 0) by 11. The quotient is 3 and write it above the division symbol.
__
11 │ 7
- 06
-----
4
- 03
7. Multiply the quotient (3) by the divisor (11), subtract the result from 40, and bring down the next digit (0).
__
11 │ 7
- 06
-----
4
- 03
-----
10
-
8. Divide 100 (combined 10 and 0) by 11. The quotient is 9 and write it above the division symbol.
__
11 │ 7
- 06
-----
4
- 03
-----
10
- 09
9. Multiply the quotient (9) by the divisor (11), subtract the result from 100, and bring down the next digit (0).
__
11 │ 7
- 06
-----
4
- 03
-----
10
- 09
-----
10
-
10. Divide 100 (combined 10 and 0) by 11. The quotient is 9 and write it above the division symbol.
__
11 │ 7
- 06
-----
4
- 03
-----
10
- 09
-----
10
- 09
-----
1
11. Since there are no more digits to bring down from the dividend, the division is complete. The quotient is 0.6363636 and it repeats.
Therefore, 7/11 as a decimal is approximately equal to 0.6363636 (or simply written as 0.63 to two decimal places).
To convert 7/11 to a decimal using long division, follow these steps:
1. Write down 7 as the numerator (the number on top) and 11 as the denominator (the number on the bottom).
____
11| 7
2. Ask yourself, how many times does 11 go into 7? Since 11 is larger than 7, it does not go into it. So, you write a 0 above the division symbol and bring down the next digit from the numerator.
0
____
11 | 7
-
3. Write a decimal point above the line you drew in step 2. Place a zero after the decimal point.
0.
____
11 | 7
-
4. Now, divide 11 into 70 (the number created by adding the zero to 7) and write the quotient above the line.
0.6
____
11 | 7
-
5. Multiply the quotient (0.6) by the divisor (11) and write the result under the line. Subtract this result from 70 to find the remainder.
0.6
____
11 | 7
- 6
--
10
6. Bring down a zero from the numerator to create the new dividend (remainder). Then, repeat steps 4 and 5 until you reach the desired level of accuracy.
0.63
____
11 | 7
- 6
--
10
- 0
--
100
7. Since the remainder is zero and the division process does not repeat or terminate, we can conclude that the decimal representation of 7/11 is 0.63.
Therefore, 7/11 as a decimal is approximately equal to 0.63.