Use long division to convert 5316 to a decimal.(1 point)
Responses
≈5.3
approximately equals 5.3
5.36
5.36
5.1875
5.1875
0.1875
0.1875
Use long division to convert 711 to a decimal.(1 point)
To convert 5316 to a decimal using long division, follow these steps:
1. Divide 53 by 16:
- The quotient is 3 and the remainder is 5.
2. Bring down the next digit (1) to the right of the remainder.
3. Divide 51 by 16:
- The quotient is 3 and the remainder is 3.
4. Bring down the next digit (1) to the right of the remainder.
5. Divide 31 by 16:
- The quotient is 1 and the remainder is 15.
6. Bring down the next digit (6) to the right of the remainder.
7. Divide 156 by 16:
- The quotient is 9 and the remainder is 12.
8. Bring down the next digit (0) to the right of the remainder.
9. Divide 120 by 16:
- The quotient is 7 and the remainder is 8.
10. Continue this process until you have as many decimal places as needed.
Therefore, the decimal representation of 5316 is 5.1875.
To convert 5316 to a decimal using long division, you would follow these steps:
1. Start by setting up the long division problem with the dividend (5316) inside the division bracket and the divisor (10) outside the bracket. Divide 5316 by 10.
5316 ÷ 10
2. Divide the first digit of the dividend (5) by the divisor (10). 5 divided by 10 equals 0.5. Write the quotient (0.5) above the division bracket.
0.5
__________
10 | 5316
3. Multiply the quotient (0.5) by the divisor (10) and subtract the result from the first part of the dividend (5 - 5 = 0).
0.5
__________
10 | 5316
- 50
4. Bring down the next digit of the dividend (3) next to the result from the previous step (0). This gives you 30.
0.5
__________
10 | 5316
- 50
----
30
5. Divide the resulting number (30) by the divisor (10). 30 divided by 10 equals 3. Write the quotient (3) next to the previous quotient (0.5).
0.53
__________
10 | 5316
- 50
----
30
6. Multiply the new quotient (0.53) by the divisor (10) and subtract the result from the second part of the dividend (30 - 30 = 0).
0.53
__________
10 | 5316
- 50
----
30
- 30
----
0
7. There are no digits left to bring down. Since the result is 0, the division process ends.
The decimal representation of 5316 is approximately 5.316.