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, you divide 2 by 9:
0.2
__________
9 | 2.0
-18
______
20
-18
______
20
Since we have reached a remainder of 0 and the process is not repeating, we can stop here.
Therefore, 2/9 as a decimal is approximately 0.2.
Convert 5 18/25 to a decimal.
0.72
5.9
5.1825
5.72
To convert the fraction 2/9 to a decimal using long division, follow these steps:
1. Write 2 as the dividend and 9 as the divisor: 2 ÷ 9.
2. Perform long division by dividing 2 by 9.
3. The quotient will be the part of the decimal that you have so far.
4. Keep dividing until you reach the desired accuracy (one decimal place in this case) or until the decimal terminates or repeats.
Performing the long division:
- Start by dividing 2 by 9. The quotient is 0 and the remainder is 2.
- Bring down the next digit (0) from the dividend to make the new dividend 20.
- Divide 20 by 9. The quotient is 2 and the remainder is 2.
- Bring down the next digit (0) from the dividend to make the new dividend 20.
- Divide 20 by 9. The quotient is 2 and the remainder is 2.
Since the remainder (2) repeats, the decimal representation of 2/9 will be a repeating decimal. In this case, the repeating part is 2.
Therefore, the decimal representation of 2/9 to one decimal place is 0.2 (repeating).
To convert 2/9 to a decimal using long division and obtain an approximation with one decimal place, you can follow the steps below:
1. Write the fraction 2/9 as a long division problem, with 2 being the dividend and 9 being the divisor.
______
9 | 2.0
2. Divide 2 by 9. Since 2 is smaller than 9, we need to add a decimal point and a zero after the 2.
0._____
9 | 2.0
3. Divide 20 by 9. The quotient is 2 because 9 can be divided evenly into 20 twice. Subtract 18 (2 × 9) from 20 to get 2.
0.2_____
9 | 2.0
-18
-----
20
4. Bring down the next digit, which is 0, to the right of 2.
0.20_____
9 | 2.00
5. Divide 20 by 9 again. The quotient is 2 because 9 can be divided evenly into 20 twice. Subtract 18 (2 × 9) from 20 to get 2.
0.22_____
9 | 2.00
-18
-----
20
6. Continue this process for as many decimal places as needed to obtain your desired approximation. Since we want one decimal place, we can stop here.
Therefore, 2/9 as a decimal approximation with one decimal place is 0.2.
Note: This method of long division can be repeated infinitely to obtain more decimal places if necessary.