He's long division to convert 2/9 to a decimal. Your approximation should have one decimal place

Answer 1

To convert the fraction \( \frac{2}{9} \) to a decimal using long division, follow these steps:

1. Set up the long division with 2 as the dividend and 9 as the divisor.

  0.2
---------
9 | 2.000

2. Since 9 does not go into 2, we look at 20 (adding a decimal point and a zero).

3. 9 goes into 20 two times (because \( 9 \times 2 = 18 \)). Write 2 above the line in the tenths place.

  0.2
---------
9 | 2.000
      - 18
      ------
        2

4. Subtract 18 from 20, which gives us 2. Bring down another 0 to make it 20 again.

  0.22
---------
9 | 2.000
      - 18
      ------
        20
      - 18
      ------
         2

5. Repeat the process. 9 goes into 20 again two times. This cycle continues indefinitely, and you will see that \( \frac{2}{9} \) goes on as \( 0.222...\).

For one decimal place, we round \( 0.222...\) to \( 0.2 \).

So, \( \frac{2}{9} \) as a decimal approximated to one decimal place is \( 0.2 \).