Use long division to convert 2750 to a decimal.(1 point) Responses 1.851 1.851 5.4 5.4 27.5 27.5 0.54
To convert 2750 to a decimal using long division, divide 2750 by 1000:
2.750
+ _____
1000 | 2750
- 2000
_______
750
Therefore, 2750 is equal to 2.750 as a decimal.
To convert 2750 to a decimal using long division, you can follow these steps:
1. Divide 2750 by 100, since there are two decimal places in 2750:
- _____
100| 2750
2. The result is 27, so write 27 as the whole number part of the decimal:
- 27
- _____
100| 2750
3. Subtract 27 * 100 from 2750 to get the remainder:
- 27
- _____
100| 2750
-2700
_____
50
4. Bring down the next digit from the dividend (2750) to the right of the remainder (50), making it 500:
- 27.
- _____
100| 2750
-2700
_____
50
500
5. Divide 500 by 100 again:
- 27.
- _____
100| 2750
-2700
_____
50
500
----
6. The result is 5, so write 5 as the next decimal place:
- 27.5
- _____
100| 2750
-2700
_____
50
500
----
500
7. Subtract 5 * 100 from 500 to get the remainder:
- 27.5
- _____
100| 2750
-2700
_____
50
500
----
500
- 500
_____
0
8. Since the remainder is 0, the division is complete.
Therefore, the decimal equivalent of 2750 is 27.5.
To convert 2750 to a decimal using long division, follow these steps:
1. Set up the long division problem with 2750 as the dividend and 1 as the divisor. Place the dividend inside the long division bracket and the divisor outside the bracket.
```
_______
1 | 2750
```
2. Perform the long division by dividing the first digit of the dividend (2) by the divisor (1). Write the quotient (2) above the long division bracket.
```
2
_______
1 | 2750
```
3. Multiply the divisor (1) by the quotient (2) and subtract the result (2) from the first digit of the dividend (2) to get the remainder (0). Write the remainder below the line.
```
2
_______
1 | 2750
- 2
-----
5
```
4. Bring down the next digit of the dividend (7) and append it to the remainder (0) to form the new dividend (07).
```
2
_______
1 | 2750
- 2
-----
07
```
5. Divide the new dividend (07) by the divisor (1), writing the resulting quotient (7) above the long division bracket.
```
27
_______
1 | 2750
- 2
-----
07
```
6. Multiply the divisor (1) by the quotient (7) and subtract the result (7) from the new dividend (07) to get the remainder (0). Write the remainder below the line.
```
27
_______
1 | 2750
- 2
-----
07
- 07
-----
0
```
Since the remainder is 0, the long division process ends.
Therefore, the decimal equivalent of 2750 is 27.5.