Question

Use long division to convert 2716 to a decimal.(1 point)

Answer 1

To convert 2716 to a decimal using long division, follow these steps:

1. Set up the division problem with 2716 as the dividend and 1000 as the divisor:
__________
1000 | 2716

2. Divide the first digit of the dividend (2) by the divisor (1000) and place the quotient (2) above the division line:
2
__________
1000 | 2716

3. Multiply the divisor (1000) by the quotient (2) and subtract it from the first part of the dividend (2716 - 2000 = 716), and write the result below the subtraction:
2
__________
1000 | 2716
- 2000
716

4. Bring down the next digit of the dividend (1), and place it next to the remainder (716 to become 7161):
2
__________
1000 | 2716
- 2000
7161

5. Divide the first digit of the new dividend (7) by the divisor (1000) and write the quotient (7) above the division line:
27
__________
1000 | 2716
- 2000
7161
7000

6. Repeat the process by multiplying the divisor (1000) by the new quotient (7), subtracting it from the previous dividend part (7161 - 7000 = 161), and bringing down the next digit (6):
27.
__________
1000 | 2716
- 2000
7161
7000
- 7000
1616

7. Continue repeating the process of dividing, multiplying, subtracting, and bringing down until you reach the desired level of precision or find a repeating pattern. However, in this case, the division stops as the dividend has been completely divided.

The final result is approximately 2.716.