# Four Digit Addition

Once students have their math facts down, they progress to two and eventually three-digit division. That is the first time that they see the concept of regrouping when working with sum operations. When they become comfortable with regrouping, it is just natural to progress on to working with the addition of much larger numbers. Adding four-digit numbers is done in the same way, but we are responsible for keeping track of the thousands place value now. When you position the values vertically always add the lowest place value (ones column) first and carrying any left over to the next available place value add regroup from there. These worksheets and lessons will help students become very confident and comfortable with adding four digit numbers.

### Aligned Standard: Grade 2 Operations - 2.NBT

- Four Digit Addition Step-by-Step Lesson- We walk you through all the steps you need to know to add large sums.
- Guided Lesson - Work away on your guided lesson island.
- Guided Lesson Explanation - I walk you through all the place values necessary to find the right path of answering these problems.
- Grid Style 5 Pack -The grids make it easy to follow the place values.
- 4 Digits to 4 Digit Addition - Five printable pages of practice for you to work with.
- Practice Worksheet - A nicely spaced worksheet for you to get more practice in.
- Matching Worksheet - Match the sums to their total. This is done in a horizontal format to make for an easier setup.

- Answer Keys - These are for all the unlocked materials above.

### Homework Sheets

Alignment is everything with these.

- Homework 1 - This moves from an example to a matching worksheet.
- Homework 2 - The commas make their way in for the final answers.
- Homework 3 - I wish I could make all this sit in a straight line.

### Practice Worksheets

Lots of matching problems for you to contend with.

- Practice 1 - This is put a grid to help you match the columns up better.
- Practice 2 - Align your values where you would want them to go first.
- Practice 3 - These worksheets will require you to shift to the fifth place value.

### Math Skill Quizzes

These quizzes span about 4 different content standards for this level.

- Quiz 1 - The box that surrounds the problems is meant to serve as a anchor for you.
- Quiz 2 - Number one is just there to see how students respond.
- Quiz 3 - The alignment is shifted a bit.

### Tips for Adding Two Four-Digit Values

To make kids understand the addition of larger numbers, you need to tell them different ways to do so. However, the basic method for adding two four-digit numbers is that it needs to line up perfectly in a vertical orientation. Placing the numbers vertically is always the way you want to introduce this skill because it is neat and organized. You can place one number over the other such that the ones, tens, hundreds and thousands are on top of each other. Once you are positioned and ready, begin to add from the lowest place value. If that value is 10 or greater carry that tens place digit into the next column and place that ones place value in the place value you are currently calculating. You continue on with this until you complete the highest place value.

Let us work on an example. We have to add two numbers, 4567 and 2456. You can follow along with the image to the right.

**Step 1)** The ones are added together at first, i.e. 7 + 6 = 13. Then you can take 1 and carry it to the tens place and add it with the other two numbers. You drop the 3 to stay in the ones place.

**Step 2)** We now move on the next place value (tens). The numbers are then added together, i.e. (6 + 5 + 1 = 12). Again, we have a value that is 10 or greater, so that 1 will be further carried to the hundreds place value.

**Step 3)** The next two numbers are 5 and 4, which will be added with the carried 1 (5 + 4 + 1 = 10). We, once again, have a value of 10 or greater. The 1 will be further carried to the thousands column.

**Step 4)** We will be add the remaining values in that column (1 + 4 + 2 = 7). We now have our final answer of 7023. To recap 4567 + 2456 = 7023.