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, we can divide 2 by 9.

1. Set up the division: Since 2 is less than 9, we can think of it as 2.0000, moving the decimal point over.

2. Divide:

   • 9 goes into 20 two times (2 × 9 = 18).
   • Subtract 18 from 20, which gives us 2.
   • Bring down the next 0, making it 20 again.

3. Repeat:

   • 9 goes into 20 two times again.
   • Subtract 18 from 20 (which leaves 2 again).
   • Bring down another 0, making it 20 again.

This process will continue indefinitely, giving us repeating 2s.

Thus, \( \frac{2}{9} = 0.222...\)

To approximate \( \frac{2}{9} \) to one decimal place, we look at the first decimal:

• The first decimal place is 2.
• The next digit (the second decimal place) is also 2, which does not round up.

Therefore, to one decimal place, \( \frac{2}{9} \approx 0.2 \).