Question

Use long division to convert 2/9 to a decimal. Your approximation should have one decimal place.(1 point)
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Answer 1

To convert 2/9 to a decimal using long division, follow these steps:

1. Divide 2 by 9. Write 0.2 above the division line.

0.2
------
9| 2.0

2. Multiply 0.2 by 9 to get 1.8. Subtract 1.8 from 2.0 to get 0.2. Bring down the next digit, which is 0.

0.2
------
9| 2.0
1.8
------
0.2

3. Divide 2 by 9 again. Write 0.02 above the division line.

0.20
------
9| 2.00
1.80
------
0.20

4. Multiply 0.02 by 9 to get 0.18. Subtract 0.18 from 2.00 to get 1.82. Bring down the next digit, which is 0.

0.20
------
9| 2.00
1.80
------
0.20
------
2

The division process repeats indefinitely. The decimal representation of 2/9 is approximately 0.2 (rounded to one decimal place).