QuestionWrite $2212_{\text{three}}$ in expanded form and convert it to base ten. Choose the correct expanded form below.

Studdy Solution
Calculate the base ten number.
$$Base\, ten\, number =2 \cdot27 +2 \cdot9 +1 \cdot3 +2 \cdot1 =54 +18 +3 +2 =77$$The expanded form of $2212_{\text {three }}$ is $2 \cdot3^3 +2 \cdot3^2 +1 \cdot3^1 +2 \cdot3^0$ and its base ten equivalent is77. So, the correct answer is D.