Multi-Digit Addition Without Regrouping

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$$550 + 349 = ?$$

$$\begin{array}{rr} & 550 \\ + & 349 \\ \hline & 899 \end{array}$$ 1. Add the ones: $0 + 9 = 9$. 2. Add the tens: $5 + 4 = 9$. 3. Add the hundreds: $5 + 3 = 8$.

$$123 + 245 = ?$$

$$\begin{array}{rr} & 123 \\ + & 245 \\ \hline & 368 \end{array}$$ 1. Add the ones: $3 + 5 = 8$. 2. Add the tens: $2 + 4 = 6$. 3. Add the hundreds: $1 + 2 = 3$.

$$402 + 181 = ?$$

$$\begin{array}{rr} & 402 \\ + & 181 \\ \hline & 583 \end{array}$$ 1. Add the ones: $2 + 1 = 3$. 2. Add the tens: $0 + 8 = 8$. 3. Add the hundreds: $4 + 1 = 5$.

$$621 + 27 = ?$$

$$\begin{array}{rr} & 621 \\ + & 27 \\ \hline & 648 \end{array}$$ Be sure to line up the place values! 1. Add the ones: $1 + 7 = 8$. 2. Add the tens: $2 + 2 = 4$. 3. Add the hundreds: $6 + 0 = 6$.

When adding without regrouping, what is the largest possible sum you can have in any single column?

The largest sum is $9$. If the sum were $10$ or more, you would have to regroup.

$$333 + 333 = ?$$

$$\begin{array}{rr} & 333 \\ + & 333 \\ \hline & 666 \end{array}$$ Ones: $3+3=6$. Tens: $3+3=6$. Hundreds: $3+3=6$.

$$714 + 162 = ?$$

$$\begin{array}{rr} & 714 \\ + & 162 \\ \hline & 876 \end{array}$$ Ones: $4+2=6$. Tens: $1+6=7$. Hundreds: $7+1=8$.

$$805 + 190 = ?$$

$$\begin{array}{rr} & 805 \\ + & 190 \\ \hline & 995 \end{array}$$ Ones: $5+0=5$. Tens: $0+9=9$. Hundreds: $8+1=9$.

What is the sum of the digits in the tens place for the problem $251 + 536$?

The digits in the tens place are $5$ and $3$. Their sum is $5+3=8$.

$$264 + 315 = ?$$

$$\begin{array}{rr} & 264 \\ + & 315 \\ \hline & 579 \end{array}$$

$$111 + 888 = ?$$

$$\begin{array}{rr} & 111 \\ + & 888 \\ \hline & 999 \end{array}$$

$$42 + 35 = ?$$

$$\begin{array}{rr} & 42 \\ + & 35 \\ \hline & 77 \end{array}$$