Use long division to convert 2/9

Question

to a decimal. Your approximation should have one decimal place.(1 point)
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Answer 1

To convert \( \frac{2}{9} \) to a decimal using long division:

1. Set up the long division: 2.000000 divided by 9.
2. 9 goes into 20 two times (since \( 9 \times 2 = 18 \)).
3. Subtract 18 from 20, which gives you 2. Bring down the next 0, making it 20 again.
4. Repeat the process. Again, 9 goes into 20 two times.
5. Subtract again, which gives you 2. Bring down the next 0, continuing the process indefinitely.

The long division yields a repeating decimal of \( 0.2222\ldots \).

For an approximation to one decimal place, we round \( 0.2222\ldots \) to \( 0.2 \).

Thus, \( \frac{2}{9} \approx 0.2 \).