Use long division to convert 1120 to a decimal
Use long division to convert 11/20 to a decimal.
Use long division to convert 11/20 to a decimal.
To convert 1120 to a decimal using long division, follow these steps:
Step 1: Write down 1120 as the numerator and 1 as the denominator.
1120
______
1
Step 2: Divide 1 into 11. The quotient is 11.
Step 3: Multiply 11 by 1 (the denominator) and subtract it from 11. The result is 0.
Step 4: Bring down the next digit (2) to create a new dividend of 2.
1120
______
1| 120
- 11
--
9
Step 5: Divide 1 into 92. The quotient is 92.
Step 6: Multiply 92 by 1 (the denominator) and subtract it from 92. The result is 0.
Step 7: Bring down the next digit (0) to create a new dividend of 20.
1120
______
1 | 120
- 11
--
9 | 20
- 18
----
2
Step 8: Divide 1 into 20. The quotient is 20.
Step 9: Multiply 20 by 1 (the denominator) and subtract it from 20. The result is 0.
Step 10: There are no more digits to bring down. The remainder is 0. Therefore, the decimal representation of 1120 is 1.120.
Therefore, 1120 is equivalent to 1.120 as a decimal.
To convert 1120 to a decimal using long division, follow these steps:
Step 1: Write down 1120 as the dividend and 1 as the divisor. Place a decimal point after the dividend if there isn't one already (in this case, there is no decimal point, so we'll add it after 1120).
1120.
______
1|
Step 2: Divide the first digit of the dividend by the divisor. In this case, divide 1 by 1. The result is 1.
1120.
______
1|1
Step 3: Multiply the result obtained in step 2 (1) by the divisor (1). Write the result below the dividend.
1120.
______
1|1
-1
Step 4: Subtract the result obtained in step 3 from the first digit of the dividend. Write the result below the line.
1120.
______
1|1
-1
--
0
Step 5: Bring down the next digit from the dividend (in this case, 1).
1120.
______
1|1
-1
--
01
Step 6: Divide the new number (01) by the divisor (1). The result is 1.
1120.
______
1|11
-1
--
01
Step 7: Multiply the result obtained in step 6 (1) by the divisor (1). Write the result below the line.
1120.
______
1|11
-1
--
01
-1
Step 8: Subtract the result obtained in step 7 from the next digit of the dividend (0). Write the result below the line.
1120.
______
1|11
-1
--
01
-1
--
10
Step 9: Bring down the next digit from the dividend (in this case, 2).
1120.
______
1|112
-1
--
01
-1
--
102
Step 10: Divide the new number (102) by the divisor (1). The result is 102.
1120.
______
1|112
-1
--
01
-1
--
102
Step 11: Multiply the result obtained in step 10 (102) by the divisor (1). Write the result below the line.
1120.
______
1|112
-1
--
01
-1
--
102
-1
Step 12: Subtract the result obtained in step 11 from the next digit of the dividend (0). Write the result below the line.
1120.
______
1|112
-1
--
01
-1
--
102
-1
--
010
Step 13: Bring down the next digit from the dividend (in this case, 0).
1120.
______
1|1120
-1
--
01
-1
--
102
-1
--
0100
Step 14: Divide the new number (0100) by the divisor (1). The result is 100.
1120.
______
1|1120
-1
--
01
-1
--
102
-1
--
0100
Step 15: Multiply the result obtained in step 14 (100) by the divisor (1). Write the result below the line.
1120.
______
1|1120
-1
--
01
-1
--
102
-1
--
0100
-1
Step 16: Subtract the result obtained in step 15 from the next digit of the dividend (0). Write the result below the line.
1120.
______
1|1120
-1
--
01
-1
--
102
-1
--
0100
-1
--
000
Step 17: Since the remainder is now 0, we have finished the division. The quotient is 1120.
Therefore, 1120 as a decimal is equal to 1.120.
To convert 1120 to a decimal using long division, follow these steps:
Step 1: Set up the long division as follows:
```
1120 |
|
|
|
```
Step 2: Determine how many times 1120 can be divided by 10 (since we are converting to a decimal). In this case, it can be divided 112 times.
Step 3: Write 112 above the division line in the quotient position:
```
1120 | 112
|
|
|
```
Step 4: Multiply 1120 by 10 (the number we divided by):
```
1120 | 112
| *10
|
|
```
This results in 11200.
Step 5: Subtract 11200 from 1120 to find the remainder:
```
1120 | 112
| *10
| -------
| 1120
| -1120
| ------
| 0
```
Step 6: Bring down the next digit from the original number (if available). In this case, there are no more digits after 1120.
Step 7: Since there are no more digits, the division process is complete. The quotient (result) is 112.
Therefore, 1120 as a decimal is 112.