Two-Digit Addition Without Regrouping

Adding two-digit numbers is easy when you take it one step at a time! "Without regrouping" means that when we add the numbers in each column, the answer is always 9 or less. We don't need to carry any extra numbers over to the next column.

How to Add Two-Digit Numbers

When adding two-digit numbers, follow these three simple steps:

1. Line them up: Write the numbers on top of each other so the tens and ones line up perfectly.
2. Add the Ones: Always start on the right side with the ones column.
3. Add the Tens: Move to the left and add the tens column.

Let's Look at an Example

Let's solve $23 + 45$.

First, stack the numbers:

$$\begin{array}{r} 23 \\ + 45 \\ \hline \end{array}$$

Step 1: Add the Ones column (the right side) $3 + 5 = 8$ Write the $8$ in the ones place.

Step 2: Add the Tens column (the left side) $2 + 4 = 6$ Write the $6$ in the tens place.

Put it all together:

$$\begin{array}{r} 23 \\ + 45 \\ \hline 68 \end{array}$$

So, $23 + 45 = 68$.

More Practice

Let's try $31 + 56$:

• Add the ones: $1 + 6 = 7$
• Add the tens: $3 + 5 = 8$
• The answer is $87$.

Let's try $42 + 34$:

• Add the ones: $2 + 4 = 6$
• Add the tens: $4 + 3 = 7$
• The answer is $76$.

Important Tip: Always remember to add the ones column first! Even though we don't need to carry numbers in these problems, starting with the ones builds a great habit for when you learn to regroup later.