Question

2/9 as a decimal is ------
0.2222
0.2
0.222
0.22222...

Explanation:

Step1: Divide 2 by 9

To convert the fraction $\frac{2}{9}$ to a decimal, we perform the division $2 \div 9$. When we divide 2 by 9, we get a repeating decimal because 9 does not divide evenly into 2 and the remainder repeats.
$2 \div 9 = 0.2222\ldots$ (the digit 2 repeats indefinitely).

Step2: Compare with the options

• The first option is 0.2222, which is a terminating decimal (only four 2s), but $\frac{2}{9}$ is a repeating decimal, so this is not exact.
• The second option is 0.2, which is too small (since $0.2=\frac{1}{5}=0.2$ and $\frac{2}{9}\approx0.222\ldots$).
• The third option is 0.222, which is a terminating decimal with three 2s, not the exact decimal for $\frac{2}{9}$.
• The fourth option is $0.2222\ldots$, which correctly represents the repeating decimal for $\frac{2}{9}$.

Answer:

0.2222... (the option with the repeating 2s, i.e., the teal-colored option with 0.2222...)