What is 11/20 as a decimal using long division?
To convert 11/20 to a decimal using long division, follow these steps:
1. Place the decimal point after the 11 to create 11.____.
2. Divide 11 by 20. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 11 by 2, which equals 5 with a remainder of 1. Write down 5 above the line.
- Bring down the next digit of 0 from the dividend (11.0).
- Bring down a decimal point to the right of the 1 remainder, giving you 10.
- Divide 10 by 20, which equals 0.5. Write down 0.5 next to the 5.
5.0
___________
20) 11.0
- 10
______
1
0
0
3. The decimal representation of 11/20 is 0.55.
Therefore, 11/20 as a decimal using long division is 0.55.
Alright now what about 3 4/5
To convert 3 4/5 to a decimal using long division, follow these steps:
1. Convert the whole number part, 3, to a decimal by writing it to the left of the decimal point. The fraction part, 4/5, will be converted to a decimal fraction.
- Write 3 as 3.____.
2. Divide 4 by 5. The quotient will be the decimal fraction part of the number.
- Start by dividing 4 by 5, which equals 0 with a remainder of 4. Write down 0 above the line.
- Bring down the next digit of 0 from the dividend (4.0).
- Bring down a decimal point to the right of the remainder, giving you 40.
- Divide 40 by 5, which equals 8. Write down 8 next to the 0.
0.8
_________
5) 4.0
- 0
______
4
0
0
3. The decimal representation of 3 4/5 is 3.8.
Therefore, 3 4/5 as a decimal using long division is 3.8.
How 13/20
To convert 13/20 to a decimal using long division, follow these steps:
1. Place the decimal point after the 13 to create 13.____.
2. Divide 13 by 20. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 13 by 20, which equals 0 with a remainder of 13. Write down 0 above the line and carry down the next digit of 0 from the dividend (13.0).
- Bring down a decimal point to the right of the remainder, giving you 130.
- Divide 130 by 20, which equals 6 with a remainder of 10. Write down 6 next to the 0 and bring down the next digit of 0.
- Bring down a decimal point to the right of the remainder, giving you 100.
- Divide 100 by 20, which equals 5. Write down 5 next to the 6.
0.65
___________
20) 13.0
- 0
______
13
10
10
- 10
______
0
0
3. The decimal representation of 13/20 is 0.65.
Therefore, 13/20 as a decimal using long division is 0.65.
2/9 now
To convert 2/9 to a decimal using long division, follow these steps:
1. Place the decimal point after the 2 to create 2.____.
2. Divide 2 by 9. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 2 by 9, which equals 0 with a remainder of 2. Write down 0 above the line and carry down the next digit of 0 from the dividend (2.0).
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the 0.
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the previous 2.
0.22
___________
9) 2.000
- 0
______
2
2
0
- 18
______
2
0
3. The decimal representation of 2/9 is 0.22.
Therefore, 2/9 as a decimal using long division is 0.22.
The approximation should have one decimal place.
Apologies for the confusion. Let's redo the long division for 2/9 considering the approximation with only one decimal place.
1. Place the decimal point after the 2 to create 2.____.
2. Divide 2 by 9. The quotient will be the whole number part of the decimal, and the remainder continued as a decimal fraction.
- Start by dividing 2 by 9, which equals 0 with a remainder of 2. Write down 0 above the line and carry down the next digit of 0 from the dividend (2.0).
- Bring down a decimal point to the right of the remainder, giving you 20.
- Divide 20 by 9, which equals 2 with a remainder of 2. Write down 2 next to the 0.
0.2
___________
9) 2.0
- 0
______
2
2
3. The decimal representation of 2/9, rounded to one decimal place, is 0.2.
Therefore, 2/9 as a decimal using long division (rounded to one decimal place) is 0.2.