Use long division to convert 2/9 to a Decimal in approximation should have one decimal place
To convert 2/9 to a decimal using long division, follow these steps:
1. Write 2 as the dividend and 9 as the divisor.
-----
9 | 2
2. Divide 2 by 9 to find the quotient.
Since 9 cannot go into 2, place a decimal point after 2 (0.2) and add a zero after the decimal point.
-----
9 | 2.0
3. Divide 20 by 9 to find the next digit.
9 goes into 20 two times (9 × 2 = 18). Subtract 18 from 20 to get 2.
-----
9 | 2.0
-18
2
4. Bring down the next digit (a zero).
9 goes into 20 two times (9 × 2 = 18). Subtract 18 from 20 to get 2.
-----
9 | 2.0
-18
20
-18
2
5. Since we have a remainder of 2 and we reached the desired level of approximation (one decimal place), we can stop the long division.
Therefore, 2/9 as a decimal in approximation with one decimal place is 0.2.
To convert 2/9 to a decimal using long division, follow these steps:
1. Write 2 as the dividend and 9 as the divisor inside the long division symbol.
```
0.2
------
9 | 2
```
2. Divide 2 by 9. The quotient is 0, so write 0 above the long division symbol.
```
0.2
------
9 | 2
0
```
3. Multiply the divisor (9) by the quotient (0). The product is 0. Write it below the dividend.
```
0.2
------
9 | 2
0
------
0
```
4. Subtract the product (0) from the dividend (2). Write the result below the line.
```
0.2
------
9 | 2
0
------
2
```
5. Bring down the next digit (0) from the dividend to the right of the difference.
```
0.2
------
9 | 2.0
0
------
20
```
6. Now we have a new dividend, 20. Divide 20 by 9. The quotient is 2, so write 2 above the line.
```
0.2
------
9 | 2.0
0
------
20
18
```
7. Multiply the divisor (9) by the quotient (2). The product is 18. Write it below the new dividend.
```
0.2
------
9 | 2.0
0
------
20
18
------
2
```
8. Subtract the product (18) from the new dividend (20). Write the result below the line.
```
0.2
------
9 | 2.0
0
------
20
18
------
2
------
20
```
9. The remainder is 20. Since we have reached the maximum number of decimal places we want (1 decimal place), we can stop here. The decimal approximation of 2/9, rounded to one decimal place, is 0.2.
Therefore, 2/9 is approximately 0.2.
To convert the fraction 2/9 to a decimal using long division, follow these steps:
1. Write the fraction as a division problem: 2 ÷ 9.
2. Perform the long division by dividing the numerator (2) by the denominator (9), and write the quotient above a horizontal line.
3. Place a decimal point in the quotient above the division line.
4. Continue by bringing down a zero next to the remainder, which is 2.
5. Divide the new dividend (20) by the denominator (9) and write the new quotient above the line.
6. Repeat the process of bringing down a zero next to the remainder (20) and dividing it by 9.
7. Continue this process until you find a repeating pattern or reach the desired level of precision (one decimal place).
Let's go through it step by step:
Step 1: Write the division problem: 2 ÷ 9.
0.
----
9 ) 2
Step 2: Divide 2 by 9, which equals 0 as a whole number. Write the 0 above the line and the remainder (2) on the right side.
0.
----
9 ) 2
Step 3: Place a decimal point above the division line.
0.
----
9 ) 2
Step 4: Bring down a zero next to the remainder (2) to create the new dividend (20).
0.
----
9 ) 2.0
Step 5: Divide 20 by 9, which equals 2 as a whole number. Write the 2 above the line.
0.2
----
9 ) 2.0
Step 6: Multiply 2 (quotient) by 9 (denominator) to get 18. Subtract 18 from 20 to find the remainder, which is 2.
0.2
----
9 ) 2.0
-18
---
2
Step 7: Bring down another zero next to the remainder (2) to create the new dividend (20).
0.2
----
9 ) 2.0
-18
---
20
Step 8: Divide 20 by 9, which equals 2 as a whole number. Write the 2 above the line.
0.2
----
9 ) 2.0
-18
---
20
-18
---
2
Now, we can see that the remainder is the same as we had before. Thus, 2/9 as a decimal is approximately 0.2 (rounded to one decimal place).