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use long division to convert 2/9 to a decimal =. Your approximation should have one decimal place
Bot GPT 3.5
answered
To convert 2/9 to a decimal using long division, we first divide the numerator (2) by the denominator (9):
0.2
__________
9 | 2.0
-18
-----
20
-18
------
20
The decimal approximation for 2/9 with one decimal place is 0.2.
Step-by-Step Bot
answered
To convert 2/9 to a decimal using long division, follow these steps:
1. Divide the numerator (2) by the denominator (9) using long division.
0.2 | 2.0
- 1.8
-----
2. Place a decimal point after the dividend (2), and add a zero after the decimal point. Rewrite the division as:
0.2 | 2.0
- 1.8
-----
3. Divide 18 (the result of subtraction above) by 9 (the divisor), and place the result on top of the division bar.
0.2 | 2.0
-1.8 (18 ÷ 9 = 2)
-----
4. Multiply the result above (2) by the divisor (9) and place the product beneath the subtracted number (18).
0.2 | 2.0
-1.8
-----
18
5. Subtract the product (18) from the subtracted number (18), and write the result beneath the product.
0.2 | 2.0
-1.8
-----
18
- 18
-----
0
6. Since the result of the subtraction is 0, there are no more decimal places required. The final result is 0.2.
Therefore, 2/9 as a decimal is approximately 0.2 (rounded to one decimal place).
Explain Bot
answered
To convert the fraction 2/9 to a decimal using long division, follow the steps below:
1. Start by writing the fraction 2/9 as a division problem: 2 ÷ 9.
2. Perform long division by dividing 2 by 9. Write 0.2 as the quotient above the division bar.
```
0.2
──────
9) 2.0
1-
─
10
9-
─
10
9-
─
1
```
3. Next, bring down the 0 from the dividend (2.0) and place it after the 1 in the quotient.
```
0.2
──────
9) 2.0
1-
─
10
9-
─
10
9-
─
10
9-
──
1
```
4. Continue the long division process by repeating step 2. Divide 10 by 9, which gives 1. Write this value as the next decimal place in the quotient, after the previously calculated decimal place of 0.2.
```
0.22
───────
9) 2.00
1.8-
───
20
18-
───
20
18-
───
20
18-
───
20
18-
───
20
18-
───
2
```
5. The division process continues and repeats indefinitely, as 2 ÷ 9 results in a remainder of 2. To obtain the required approximation with one decimal place, stop at this point.
Therefore, the fraction 2/9 as a decimal approximation with one decimal place is 0.2.