Use long division to convert 3/16 to a decimal.(1 point)
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To convert 3/16 to a decimal using long division, follow these steps:
1. Set up the long division problem by writing 3 as the dividend and 16 as the divisor:
```
0.
-------
16|3
```
2. Divide the first digit of the dividend (3) by the divisor (16). Write the quotient (0) above the division line:
```
0.
-------
16|3
0
```
3. Multiply the quotient (0) by the divisor (16) and write the product (0) below the dividend. Subtract the product from the first digit of the dividend:
```
0.
-------
16|3
-0
-----
3
```
4. Bring down the next digit of the dividend (0) and write it next to the remainder (3). This forms a new dividend (30):
```
0.
-------
16|3
-0
-----
30
```
5. Divide the first digit of the new dividend (30) by the divisor (16). Write the quotient (1) above the division line:
```
0.1
-------
16|3
-0
-----
30
-16
-----
14
```
6. Multiply the quotient (1) by the divisor (16) and write the product (16) below the new dividend. Subtract the product from the first digit of the new dividend:
```
0.1
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
14
```
7. Bring down the next digit of the new dividend (0) and write it next to the remainder (14). This forms a new dividend (140):
```
0.18
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
```
8. Divide the first digit of the new dividend (140) by the divisor (16). Write the quotient (8) above the division line:
```
0.18
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
-128
------
12
```
9. Multiply the quotient (8) by the divisor (16) and write the product (128) below the new dividend. Subtract the product from the first digit of the new dividend:
```
0.1875
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
-128
------
12
- 0
-----
12
```
10. Bring down the next digit of the new dividend (0) and write it next to the remainder (12). This forms a new dividend (120):
```
0.1875
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
-128
------
12
- 0
------
12
- 0
------
120
```
11. Divide the first digit of the new dividend (120) by the divisor (16). Write the quotient (7) above the division line:
```
0.1875
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
-128
------
12
- 0
------
12
- 0
------
120
- 112
------
8
```
12. Multiply the quotient (7) by the divisor (16) and write the product (112) below the new dividend. Subtract the product from the first digit of the new dividend:
```
0.1875
-------
16|3
-0
-----
30
-16
-----
14
- 0
------
140
-128
------
12
- 0
------
12
- 0
------
120
- 112
------
8
- 0
------
8
```
13. Since there is no remainder, the division is complete. The quotient is 0.1875, therefore, 3/16 in decimal form is 0.1875.
To convert 3/16 to a decimal using long division, follow these steps:
1. Set up the division problem:
0. 3
------
16 | 3
2. Divide the first digit of the numerator (3) by the denominator (16). Write the result above the division bar and subtract the product from the numerator:
0. 3
------
16 | 3
- 0
3. Bring down the next digit of the numerator (0) to the right of the result obtained in step 2:
0. 3
------
16 | 3
- 0
4. Divide the new numerator (30) by the denominator (16) and write the result above the division bar. Subtract the product from the numerator:
0. 3.
------
16 | 3
- 0
30
-
0
5. Bring down the next digit of the numerator (0) to the right of the result obtained in step 4:
0. 3.
------
16 | 3
- 0
30
-
0
6. Divide the new numerator (0) by the denominator (16) and write the result above the division bar. Subtract the product from the numerator:
0. 3.187
------
16 | 3
- 0
30
-
0
0
7. At this point, the numerator is zero. Since there is no remainder, the division is complete.
The result is 3/16 = 0.1875.