Addition

Add Two-Digit Numbers Without Carrying

Add 34 + 25 by lining up the digits and adding each column from right to left. No carrying is needed because each column sum is less than 10.

column-addition Line up digits by place value and add each column from right to left. When each column sum is less than 10, write the digit directly — no carrying needed.

Example

Add 34 and 25 one column at a time. Because each column holds a single place value, ones with ones and tens with tens, we add matching columns separately. When no column total reaches ten there is nothing to carry, so the digits simply line up and the partial sums combine directly into the answer.

highlighted = computed this step

Step 1 — Set up

Line up the addends by place value.

xxx34+25x□□\begin{array}{rrr}\phantom{x}&\phantom{x}&\phantom{x}\\&3&4\\+&2&5\\\hline\\\phantom{x}&\square&\square\end{array}
Line up 34 and 25 by placetens32ones45+34 + 25Add ones with ones, then tens with tens.

Step 2 — Ones column

Ones: 4 + 5 = 9, write 9.

xxx34+25x□9\begin{array}{rrr}\phantom{x}&\phantom{x}&\phantom{x}\\&3&4\\+&2&5\\\hline\\\phantom{x}&\square&\hl{9}\end{array}
Ones: 4 + 5 = 9, no carrytens32ones459+4 + 5 = 9 onesThe ones total 9 is below 10, so nothing moves to tens.

Step 3 — Tens column

Tens: 3 + 2 = 5, write 5.

xxx34+25x59\begin{array}{rrr}\phantom{x}&\phantom{x}&\phantom{x}\\&3&4\\+&2&5\\\hline\\\phantom{x}&\hl{5}&9\end{array}
Tens: 3 + 2 = 5, no carrytens325ones45+3 + 2 = 5 tensThe tens total 5 is below 10, so nothing carries left.

Step 4 — Result

Read the complete answer: 59.

xxx34+25x59,sum=59\begin{array}{rrr}\phantom{x}&\phantom{x}&\phantom{x}\\&3&4\\+&2&5\\\hline\\\phantom{x}&5&9\end{array},\quad \text{sum}=59
34 + 25 = 59tens325ones459+5 tens and 9 ones make 59Put the tens and ones digits together to read the sum.