use long division to convert 2/9 to a decimal. your approximate should have one decimal place

Answer 1

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

1. Place the dividend, which is 2, inside the long division symbol (÷), and the divisor, which is 9, outside of it.

2 | 0.0

2. Since 2 is less than the divisor 9, add a decimal point after the 0 in the dividend, along with a zero after the decimal point to make it 20.

2 | 0.0
9
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3. Divide 9 into 20. The result is 2 with a remainder of 2.

2 | 0.0
9
-----
18
-----
20

4. Since there is a remainder of 2, bring down the next digit, which is a zero, beside it.

2 | 0.0
9
-----
18
-----
20
18
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5. Divide 9 into 20. The result is 2 with a remainder of 2.

2 | 0.0
9
-----
18
-----
20
18
-----
20
18
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6. Repeat the process, bringing down another zero.

2 | 0.0
9
-----
18
-----
20
18
-----
20
18
-----
20
18
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7. Keep repeating this process until the desired decimal approximation is obtained. Since it was specified that the decimal should have one decimal place, we can stop here.

2 | 0.2
9
-----
18
-----
20
18
-----
20
18
-----
20
18
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2

The decimal approximation of 2/9 to one decimal place is 0.2.