Lesson Objectives
• Demonstrate an understanding of place value
• Learn how to add two multi-digit whole numbers
• Learn how to add two multi-digit whole numbers with regrouping (carrying)

## How to Add Multi-Digit Whole Numbers

Once we have memorized all of the single digit addition facts, we are ready to add multi-digit whole numbers. In most cases, we perform multi-digit addition using a vertical format. This process is known as vertical addition. Vertical Addition will allow us to simplify the multi-digit addition problem into a series of smaller single digit addition problems.

1. Arrange the addends (numbers being added) vertically and line up the digits by place value
2. Draw a horizontal line underneath the bottom number and place a "+" to the left of the bottom number
3. Add the digits in the right most column, this will contain the ones' place digit for each number
4. Place the result directly below the horizontal line
5. Repeat the addition process in each column moving left, until there are no more columns to add
Example 1: Add 35 + 23
1. Arrange the addends (numbers being added) vertically and line up the digits by place value
2. Draw a horizontal line underneath the bottom number and place a "+" to the left of the bottom number
3. Add the digits in the right most column, this will contain the ones' place digit for each number
4. Place the result directly below the horizontal line
5. Repeat the addition process in each column moving left, until there are no more columns to add
35 + 23 = 58
Example 2: Add 613 + 84
1. Arrange the addends (numbers being added) vertically and line up the digits by place value
2. Draw a horizontal line underneath the bottom number and place a "+" to the left of the bottom number
3. Add the digits in the right most column, this will contain the ones' place digit for each number
4. Place the result directly below the horizontal line
5. Repeat the addition process in each column moving left, until there are no more columns to add

613 + 84 = 697