Question

1. Use long division to convert 27/50 to a decimal.(1 point)

Answer 1

To convert 27/50 to a decimal using long division, follow these steps:

1. Set up the division problem with 27 as the dividend and 50 as the divisor:

0.54
___________
50 | 27

2. Divide 27 by 50. Since 50 doesn't divide evenly into 27, the quotient will have a decimal:

0.54
___________
50 | 27

- Start by dividing 27 by 5 (the first significant digit of 50) to get the first digit of the quotient. The result is 5.

0.54
___________
50 | 27
- 25
________
2

- Multiply the 5 (quotient digit) by 50 (divisor) to get 250. Subtract 250 from 270 to get the remainder.

0.54
___________
50 | 27
- 25
________
20


3. Bring down the next digit (if any), which is 0. Add a decimal point to the quotient.

0.54
___________
50 | 270
- 250
________
20

4. Divide 200 by 50 to get the next digit of the quotient: 4.

0.54
___________
50 | 270
- 250
________
200
- 200
________
0

5. Since there is no remainder and no more digits to bring down, the long division process is complete.

Therefore, 27/50 as a decimal is 0.54.