Adding Triple and Double Digit Worksheets
Once students master adding double digit numbers, adding two and three digit values is the natural progression. In most cases these types of problems require you to carry numbers between place values and regroup somewhere along the way. This means that as you add a place value you will get a value that is 10 or greater. When this happens, we leave the ones place of that sum in the column we are working with, we then carry the 1 from that value over to the next place value. We suggest that you have students highlight this 1 that is being carried to remind them that it is there. These worksheets and lessons can be used to help students learn to find the sum of a two and three digit number combo. We include problems that require regrouping, those that do not, and some sheets with a mix of those problem types.
Aligned Standard: 2.NBT.B.7
- Step-by-Step Lesson- I like to use the grid format to help explain this one. It really helps when carrying the number.
- Guided Lesson - A nice big font for you to work with on this one. Great for a class wide lesson.
- Guided Lesson Explanation - This uses up a bit of paper, sorry about that. It is great to print out for students that missed any lessons.
- Practice Sheet - I noticed that the grid style is a bit bunched up on this one.
- Adding Double and Triple Digits 5 Pack - Lots of good and deep practice for you.
- Matching Sheet - Match the vertical problems to their sums. Great to kick off class.
- Answer Keys - These are for all the unlocked materials above.
Each of these sheets start you off with a completed problem.
- Homework 1 - The example shows you how to find the sum of two hundred eighty-nine and twenty-nine.
- Homework 2 - We slide the thirteen to the tens place.
- Homework 3 - A box within a box.
No surprises on these either.
- Practice 1 - Horizontal and vertical sums are placed here.
- Practice 2 - Watch how you align these.
- Practice 3 - The ones place requires a carry over to the tens place.
Math Skill Quizzes
We throw in a few bumps by purposely not aligning a few problems to see how students handle it.
- Quiz 1 - See which orientation works better for each student.
- Quiz 2 - Not all students prefer vertical alignment.
- Quiz 3 - You will notice that a few values come around more than once.
Tips for Adding Triple and Double Digit Numbers
When you add triple and double-digit numbers, you need to be focus on maintaining an organized approach to writing your problems out. We highly suggest that you get your students in the habit of aligning these problems vertically as you see the problem to the right (359 +76). We also have a few suggestions on how to set these problems up to make them quicker and easier to work with:
Label Place Values - You will see how we did this on the problem to the right (H- Hundreds, T- Tens, O- Ones). A simple letter above everything reminds students the value they are working on. You would be surprised at how organized this helps students stay.
Bold or Underline Any Numbers Being Carried - As you will see in our diagram, it is easy for use to create a thick red 1 that is being carried, but we would encourage you to ask students to make those numbers stick out either have them write it thick (bold) or an underline. This makes regrouping so much easier.
Solution to Example Problem: 359 + 76
Step 1) We always begin adding the lowest place value, in this case the ones. (9 + 6 = 15) We drop the 5 in the ones place and carry the 1. Reminder make that 1 stick out, we made it a bold red.
Step 2) We add the next place value (tens). We need to remember to regroup by including that 1 that was carried over to this column (1 + 5 + 7 = 13). We drop the 3 and carry the one to the hundreds place.
Step 3) We add the hundreds place, again including that carried 1 (3 + 1 = 4).
However, to add much more significant numbers, students need to understand the trick behind these sums. For instance, if we add 27 and 18, you know that we can add tens first and then add the ones. In the present case, we will first add the tens, i.e., 2 and 1 which makes 3. Secondly, we will add the ones who make 115 (7 + 8). You should keep such scenarios in mind that whether you are solving two-digit numbers or three-digit numbers.