Adding Larger Numbers — Let's Practice!
Basics on the topic Adding Larger Numbers — Let's Practice!
We're diving into the world of adding large numbers. These exercises require us to use addition to find our answers. As we embark on this mathematical journey, remember that adding large numbers is like piecing together a puzzle, and you're the mathematician!
What Are Large Number Addition Problems?
Large number addition problems ask us to add multi-digit numbers, sometimes involving carrying over to the next place value.
Here are the steps to tackle a large number addition problem:
| Step # | Action |
|---|---|
| 1 | Identify the relevant numbers. |
| 2 | Add the numbers starting from the rightmost digit (ones place). |
| 3 | Carry over any extra value to the next place value if necessary. |
| 4 | Write down the sum for each place value. |
| 5 | Check your answer to ensure it makes sense with the problem. |
Let's practice understanding large number addition problems with a couple of exercises.
Solving Large Number Addition Problems – Examples
Example 1:
Add 4,126 and 5,862.
Steps to Solve the Problem:
| Step # | Action | Equation |
|---|---|---|
| 1 | Write the numbers aligning by place value. | |
| 2 | Add the ones place: 6 + 2 | $$ 6 + 2 = 8 $$ |
| 3 | Add the tens place: 2 + 6 | $$ 2 + 6 = 8 $$ |
| 4 | Add the hundreds place: 1 + 8 | $$ 1 + 8 = 9 $$ |
| 5 | Add the thousands place: 4 + 5 | $$ 4 + 5 = 9 $$ |
The sum is 9,988.
Example 2:
Add 3,026 and 2,669.
Steps to Solve the Problem:
| Step # | Action | Equation |
|---|---|---|
| 1 | Write the numbers aligning by place value. | |
| 2 | Add the ones place: 6 + 9 (carry over 1) | $$ 6 + 9 = 15 $$ |
| 3 | Add the tens place: 2 + 6 + 1 | $$ 2 + 6 + 1 = 9 $$ |
| 4 | Add the hundreds place: 0 + 6 | $$ 0 + 6 = 6 $$ |
| 5 | Add the thousands place: 3 + 2 | $$ 3 + 2 = 5 $$ |
The sum is 5,695.
Example 3:
Add 7,559 and 8,529.
Steps to Solve the Problem:
| Step # | Action | Equation |
|---|---|---|
| 1 | Write the numbers aligning by place value. | |
| 2 | Add the ones place: 9 + 9 (carry over 1) | $$ 9 + 9 = 18 $$ |
| 3 | Add the tens place: 5 + 2 + 1 | $$ 5 + 2 + 1 = 8 $$ |
| 4 | Add the hundreds place: 5 + 5 (carry over 1) | $$ 5 + 5 = 10 $$ |
| 5 | Add the thousands place: 7 + 8 + 1 | $$ 7 + 8 + 1 = 16 $$ |
The sum is 16,088.
Solving Large Number Addition Problems – Practice
Now, let's put your skills to the test. Solve these problems on your own, and check the solutions when you're ready!
Solving Large Number Addition Problems – Summary
Key Learnings from this Text:
- Solving problems with large numbers can be achieved by following the steps:
| Step # | Action |
|---|---|
| 1 | Identify the relevant numbers. |
| 2 | Add the numbers starting from the rightmost digit (ones place). |
| 3 | Carry over any extra value to the next place value if necessary. |
| 4 | Write down the sum for each place value. |
| 5 | Check your answer to ensure it makes sense with the problem. |
- Mastering large number addition is an important skill in arithmetic.
Keep practicing these steps, and you'll become a pro at adding large numbers! Check out more fun math challenges and exercises on our website to continue sharpening your skills.
Solving Large Number Addition Problems – Frequently Asked Questions
Transcript Adding Larger Numbers — Let's Practice!
Razzi says get these items ready because today we're going to practice adding larger numbers It's time to begin! Let's solve! Add four thousand one hundred twenty-six and five thousand eight hundred sixty-two. Pause the video to work on the problem and press play when you are ready to see the solution! Start by adding the ones place eight, add the tens place, eight, add the hundreds place nine, and add the thousands place nine. Did you also get nine thousand nine hundred eighty-eight? Let's tackle the next problem with some regrouping! Add three thousand twenty-six and two thousand six hundred sixty-nine. Pause the video to work on the problem and press play when you are ready to see the solution! Start by adding the ones place to get fifteen. Put five in the ones place and carry the one. Add the tens place, nine. Add the hundreds place, six. Add the thousands place, five. Did you also get five thousand six hundred ninety-five? Let's try one more! Add seven thousand five hundred fifty-nine and eight thousand five hundred twenty-nine. Pause the video to work on the problem and press play when you are ready to see the solution! Start by adding the ones place to get eighteen. Put the eight in the ones and carry the one to the tens place. Add the tens place, eight. Add the hundreds place to get ten. Put the zero in the hundreds place and carry the one to the thousands place. Add the thousands place, sixteen. Did you also get sixteen thousand eighty-eight? Razzi had so much fun practicing with you today! See you next time!
Adding Larger Numbers — Let's Practice! exercise
-
Add these three digit numbers together.
HintsRemember, add the ones place first, then the tens place, then the hundreds place, and lastly, the thousands place.
There is no regrouping in this problem.
SolutionAdding the ones place: 6 + 1, which is 7.
Adding the tens place: 70 + 0, which is 70.
Adding the hundreds place: 400 + 100, which is 500.
Adding the thousands place: 3,000 + 6,000, which is 9,000.
These numbers together are: 9,577.
-
Add the three digit numbers with regrouping.
HintsWe add the ones place first. 7 + 4 = 11. 11 needs to be regrouped into the tens place.
Look at how to regroup 11. There is one ten (11), and one one (11). Remember to add this regrouped ten into the tens place.
Remember to add the comma after the thousands place. Example: six thousand two hundred forty-one would be: 6,241.
SolutionAdd the ones place: 7 + 4 = 11. Regroup the 11 to one ten, and one one. The ones place is now 1.
Add the tens place: 40 + 10, + the 10 we carried. 40 + 10 + 10 = 60.
Add the hundreds place: 300 + 0 = 300.
Add the thousands place: 4,000 + 3,000 = 7,000.
The number is 7,361.
-
Regroup as needed to add the numbers.
HintsRemember to carry the 1 to the top of the next place value when regrouping.
Add the ones place first, then add the tens place. Regroup as needed.
Don't forget to add the comma after the thousands place.
Example: 20,567.
SolutionAdd the ones place: 4 + 1 = 5.
Add the tens place: 40 + 60 = 100. We regroup 1 hundred to the hundreds place. The tens place is left with 0.
Add the hundreds place: 100 (regrouped) + 700 + 500 = 1,300. We regroup 1 1,000 to the thousands place. The hundreds place is left with 300.
Add the thousands place: 1,000 (regrouped) + 9,000 + 6,000 = 16,000.
The sum of the numbers is: 16,305.
-
Add the two numbers by regrouping.
HintsRemember to start with the ones place and carry the 1 to the top of the next place value when regrouping.
Don't forget to add the comma (,) after the thousands place.
SolutionAdd the ones place: 1 + 1= 2.
Add the tens place: 70 + 80 = 150. Regroup the 100, the tens place is left with 50.
Add the hundreds place: 100 (regrouped) + 400 + 500 = 1,000. Regroup the 1,000 to the thousands place, the hundreds place is left with 0.
Add the thousands place: 1,000 (regrouped) + 20,000 + 3,000 = 24,000.
The number is 24,052.
-
Add the large numbers.
HintsRemember, start adding from the ones place.
If there is no regrouping, continue adding the tens place, hundreds place, and thousands place.
SolutionAdd the ones place: 3 + 3 = 6.
Add the tens place: 90 + 0 = 90.
Add the hundreds place: 500 + 300 = 800.
Add the thousands place: 8,000 + 4,000 = 12,000.
The total is 12,896.
-
Add the numbers by regrouping.
HintsRemember to start with the ones place, and carry the 1 to the top of the next place value when regrouping.
Remember, add the comma (,) after the thousands place.
Example: 75,230.
SolutionAdd the ones place: 9 + 9 = 18. Regroup the 10 to the tens place, the ones place is left with 8.
Add the tens place: 10 (regrouped) + 30 + 70 = 110. Regroup the 100 to the hundreds place, the tens place is left with 10.
Add the hundreds place: 100 (regrouped) + 900 + 500 = 1,500. Regroup the 1,000 to the thousands place, the hundreds place is left with 500.
Add the thousands place: 1,000 (regrouped) + 10,000 + 3,000 = 14,000.
The number is 14,518.
Adding a 1-Digit Number to a 2-Digit Number
Order in Adding
Using Place Value to Add
Using Place Value to Add Two Digit Numbers (Regrouping)
Make a Number Line to Add
Make a Number Line to Add — Let's Practice!
Addition Using Expanded Form
Compensation in Addition — Let's Practice!
Addition with Regrouping - Ten
Three Digit Addition with Regrouping - Expanded Form
Adding 2 Digit Numbers Using Standard Algorithm
Adding 3 Digit Numbers Using Standard Algorithm
Adding Larger Numbers — Let's Practice!
Adding Four Two Digit Numbers
