Use long division to convert 2/9

Question

to a decimal. Your approximation should have one decimal place.

Answer 1

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

1. Set Up the Division: We need to divide 2 by 9.

2. Dividing:

   • 9 into 2 goes 0 times. So, we write down 0 and a decimal point.
   • Next, we add a zero to 2 (making it 20). Now we have \( 20 \div 9 \).

3. Calculate:

   • 9 into 20 goes 2 times (since \( 9 \times 2 = 18 \)).
   • Write down 2 after the decimal point, giving us 0.2.
   • Subtract \( 18 \) from \( 20 \), so \( 20 - 18 = 2 \).

4. Repeating the Process:

   • Now, bring down another zero (making it 20 again) and repeat the division.
   • 9 into 20 goes 2 times again.

Since we only need one decimal place, we can stop here. The computed value is:

\[ \frac{2}{9} \approx 0.2 \]

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