Use long division to convert 3/16 to a decimal.(1 point)
First, set up the long division problem by dividing 3 by 16:
0.1875
__________
16 | 3.000
Next, start dividing. 16 can go into 3 zero times, so write a 0 above the division bar.
0.1875
__________
16 | 3.000
0
Multiply 16 by 0, which equals 0. Subtract 0 from 3, which gives you 3. Bring down the next digit, which is 0.
0.1875
__________
16 | 3.000
0
- 0
Bring down the next digit, which is 0. Divide 16 into 30. The quotient is 1, so write a 1 above the division bar. Multiply 16 by 1, which equals 16. Subtract 16 from 30 to get 14.
0.1875
__________
16 | 3.000
0 1
-16
14
Divide 16 into 140. The quotient is 8, so write an 8 above the division bar. Multiply 16 by 8, which equals 128. Subtract 128 from 140 to get 12.
0.1875
__________
16 | 3.000
0 1 8
-16 1
12
Divide 16 into 120. The quotient is 7, so write a 7 above the division bar. Multiply 16 by 7, which equals 112. Subtract 112 from 120 to get 8.
0.1875
__________
16 | 3.000
0 1 8 7
-16 1 1
8
Divide 16 into 80. The quotient is 5, so write a 5 above the division bar. Multiply 16 by 5, which equals 80. Subtract 80 from 80 to get 0.
0.1875
__________
16 | 3.000
0 1 8 7 5
-16 1 1 0
0
Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.1875.
Therefore, 3/16 can be written as the decimal 0.1875.
Use long division to convert 11/20 to a decimal.(1 point)
Use long division to convert 3 4/5 to a decimal.
Use long division to convert 13/20 to a decimal.(1 point)
To convert 11/20 to a decimal using long division:
0.55
_________
20 | 11.00
Divide 20 into 11. The quotient is 0.55, so write 0.55 above the division bar.
0.55
_________
20 | 11.00
10
- 10
Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.55.
Therefore, 11/20 can be written as the decimal 0.55.
To convert 3 4/5 to a decimal using long division:
First, convert the mixed number to an improper fraction. 3 4/5 can be written as 19/5.
3.8
______
5 | 19.00
Divide 5 into 19. The quotient is 3.8, so write 3.8 above the division bar.
3.8
______
5 | 19.00
15
- 15
Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 3.8.
Therefore, 3 4/5 can be written as the decimal 3.8.
To convert 13/20 to a decimal using long division:
0.65
_________
20 | 13.00
Divide 20 into 13. The quotient is 0.65, so write 0.65 above the division bar.
0.65
_________
20 | 13.00
10
- 10
Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.65.
Therefore, 13/20 can be written as the decimal 0.65.
Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
To convert 2/9 to a decimal using long division:
0.2
________
9 | 2.00
Divide 9 into 2. Since 9 is larger than 2, we need to add a decimal point and a zero after the 2. The quotient is approximately 0.2, so write 0.2 above the division bar.
0.2
________
9 | 2.00
-1
Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.
0.2
________
9 | 2.00
-1.8
2
Bring down the next digit, which is 0. Divide 9 into 20. The quotient is 2, so write 2 above the division bar. Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.
0.2
________
9 | 2.00
-1.8 0
2
Bring down another zero and continue the division. Divide 9 into 20. The quotient is 2, so write 2 above the division bar. Multiply 9 by 2, which equals 18. Subtract 18 from 20 to get 2.
0.2
________
9 | 2.00
-1.8 0 2
2
We can see that the division is repeating now. Since we are asked for an approximation with one decimal place, we can stop here. The quotient is approximately 0.2.
Therefore, 2/9 can be approximated as the decimal 0.2.
Use long division to convert 27/50 to a decimal.
To convert 27/50 to a decimal using long division:
0.54
________
50 | 27.00
Divide 50 into 27. The quotient is approximately 0.54, so write 0.54 above the division bar.
0.54
________
50 | 27.00
-25
Multiply 50 by 0.54, which equals 27. Subtract 27 from 27 to get 0.
0.54
________
50 | 27.00
-25.00
2.00
Bring down the next digit, which is 0. Divide 50 into 20. The quotient is 0, so write 0 above the division bar. Multiply 50 by 0, which equals 0. Subtract 0 from 20 to get 20.
0.54
________
50 | 27.00
-25.00
2.00
-2.00
0
Since there is no remainder and no more digits to bring down, we have reached the end of the division. The quotient is 0.54.
Therefore, 27/50 can be written as the decimal 0.54.
Use long division to convert 3 3/8 to a decimal.(1 point)
To convert 3 3/8 to a decimal using long division:
First, convert the mixed number to an improper fraction. 3 3/8 can be written as 27/8.
3.375
____________
8 | 27.000
Divide 8 into 27. The quotient is 3.375, so write 3.375 above the division bar.
3.375
____________
8 | 27.000
24
- 24
Since there is no remainder, we have reached the end of the division. The quotient is 3.375.
Therefore, 3 3/8 can be written as the decimal 3.375.