Use long division to convert 3/16
to a decimal
To convert 3/16 to a decimal using long division, follow these steps:
1. Set up the division problem by placing 3 as the dividend and 16 as the divisor:
____
16 | 3
2. Determine how many times 16 can be divided evenly into 3. Since 16 cannot be divided evenly into 3, place a decimal point (.) above the division bar and add a zero after the decimal point in the dividend:
____
16 | 0.3
3. Divide 16 into 30, which gives 1 as the quotient. Multiply 1 by 16 to get the partial product of 16 and write it under 30:
1
____
16 | 0.3
-16
____
14
4. Bring down the next digit from the dividend (0) and add it to the end of the partial product (14). This forms the new dividend, which is 140:
1
____
16 | 0.3
-16
____
14
14
____
140
5. Divide 16 into 140, which gives 8 as the quotient. Multiply 8 by 16 to get the partial product of 128 and write it under 140:
18
_____
16 | 0.3
-16
_____
14
14
_____
140
-128
_____
120
6. Repeat this pattern until there is no more digit in the dividend to bring down. In this case, we can stop here because there are no more digits after 0 in 140.
7. The final quotient is the decimal representation of 3/16, which is 0.1875.
Therefore, 3/16 as a decimal is 0.1875.
Use long division to convert 1120
to a decima
To convert 1120 to a decimal using long division, follow these steps:
1. Set up the division problem by placing 1120 as the dividend and 1 as the divisor:
_______
1 | 1,120
2. Determine how many times 1 can be divided evenly into 1,120. Since 1 can be divided evenly into 1,120, place the quotient of 1 above the division bar and write the partial product of 1 and 1 under the dividend:
1
_______
1 | 1,120
-1
_______
0
3. Bring down the next digit from the dividend, which is 2. Place the 2 after the 0 to form the new dividend:
1
_______
1 | 1,120
-1
_______
0
2
4. Divide 1 into 2, which gives 2 as the quotient. Multiply 2 by 1 to get the partial product of 2 and write it under the 2 in the dividend:
1
_______
1 | 1,120
-1
_______
0
2
-2
_______
0
5. Bring down the next digit from the dividend, which is 0. Place the 0 after the 0 to form the new dividend:
1
_______
1 | 1,120
-1
_______
0
2
-2
_______
0
0
6. Divide 1 into 0, which gives 0 as the quotient. Multiply 0 by 1 to get the partial product of 0 and write it under the 0 in the dividend:
1
_______
1 | 1,120
-1
_______
0
2
-2
_______
0
0
0
7. Repeat this pattern until there are no more digits in the dividend to bring down. In this case, we can stop here because there are no more digits after 0 in 120.
8. The final quotient is the decimal representation of 1120, which is 1,120.0.
Therefore, 1120 as a decimal is 1,120.0.
Use long division to convert 11/20
to a decimal
To convert 11/20 to a decimal using long division, follow these steps:
1. Set up the division problem by placing 11 as the dividend and 20 as the divisor:
_____
20 | 11
2. Determine how many times 20 can be divided evenly into 11. Since 20 cannot be divided evenly into 11, place a decimal point (.) above the division bar and add a zero after the decimal point in the dividend:
_______
20 | 0.11
3. Divide 20 into 110, which gives 0 as the quotient. Multiply 0 by 20 to get the partial product of 0 and write it under 110:
0
_______
20 | 0.11
0
_______
4. Bring down the next digit from the dividend (1) and add it to the end of the partial product (0). This forms the new dividend, which is 10:
0
_______
20 | 0.11
0
_______
10
5. Divide 20 into 100, which gives 0 as the quotient. Multiply 0 by 20 to get the partial product of 0 and write it under 100:
0
_______
20 | 0.11
0
_______
10
0
_______
6. Bring down the next digit from the dividend (1) and add it to the end of the partial product (0). This forms the new dividend, which is 100:
0
_______
20 | 0.11
0
_______
10
0
_______
100
7. Divide 20 into 100, which gives 5 as the quotient. Multiply 5 by 20 to get the partial product of 100 and write it under 100:
05
_______
20 | 0.11
0
_______
10
0
_______
100
- 100
_______
0
8. Repeat this pattern until the decimal representation of 11/20 terminates. In this case, we can see that the pattern will continue with a quotient of 5. So, the decimal representation of 11/20 is 0.55.
Therefore, 11/20 as a decimal is 0.55.
Use long division to convert 345
to a decimal
To convert 345 to a decimal using long division, follow these steps:
1. Set up the division problem by placing 345 as the dividend and 1 as the divisor:
_______
1 | 345
2. Determine how many times 1 can be divided into 3. Since 1 cannot be divided into 3, place a decimal point (.) above the division bar. Add a zero after the decimal point in the dividend:
_______
1 | 0.345
3. Divide 1 into 34, which gives 34 as the quotient. Multiply 34 by 1 to get the partial product of 34 and write it under 34 in the dividend:
34
_______
1 | 0.345
-34
_______
5
4. Bring down the next digit from the dividend (5) and add it to the end of the partial product (5). This forms the new dividend, which is 55:
34
_______
1 | 0.345
-34
_______
5
5
5. Divide 1 into 55, which gives 55 as the quotient. Multiply 55 by 1 to get the partial product of 55 and write it under 55 in the dividend:
345
_______
1 | 0.345
-34
_______
5
5
55
_______
0
6. Bring down the next digit from the dividend (0) and add it to the end of the partial product (0). This forms the new dividend, which is 0:
345
_______
1 | 0.345
-34
_______
5
5
55
0
_______
0
7. Repeat this pattern until there are no more digits in the dividend to bring down. In this case, we can see that the pattern will continue with a quotient of 0. So, the decimal representation of 345 is 0.345.
Therefore, 345 as a decimal is 0.345.