Math Problem Solver

$$45 + 67=112$$

$$\begin{aligned} \overset{\mathtt{1}}{\phantom{0}}\overset{\mathtt{1}}{\mathtt{4}}\mathtt{5}\\ \mathtt{+\phantom{0}}\phantom{0}\mathtt{6}\mathtt{7}\\ \hline \mathtt{1}\mathtt{1}\mathtt{2} \end{aligned}$$

$2$ is the digit in the $10^{0}$ place. $5 \times 10^{0} + 7 \times 10^{0} = 12 \times 10^{0} = 1 \times 10^{1} + 2 \times 10^{0}$.$1 \times 10^{1}$ carries to the $10^{1}$ place.

$1$ is the digit in the $10^{1}$ place. $1 \times 10^{1} + 4 \times 10^{1} + 6 \times 10^{1} = 11 \times 10^{1} = 1 \times 10^{2} + 1 \times 10^{1}$.$1 \times 10^{2}$ carries to the $10^{2}$ place.

$1$ is the digit in the $10^{2}$ place. $1 \times 10^{2} + 0 \times 10^{2} + 0 \times 10^{2} = 1 \times 10^{2}$.