Solve 614 + 290: Three-Digit Column Addition Practice

Column Addition with Carrying Over

614+290776 \begin{aligned} &614 \\ +& \\ &290 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this step by step.
00:07 First, add the digits in the ones place.
00:11 Now, add the digits in the tens place.
00:14 If needed, carry over any extra to the next column.
00:19 Remember, add any carried number to the hundreds.
00:24 Finally, add the digits in the hundreds place.
00:28 And there you have it! We've solved the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

614+290776 \begin{aligned} &614 \\ +& \\ &290 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, let's perform vertical addition following these steps:

Step 1: Add the unit digits (rightmost column):

  • 4+0=44 + 0 = 4

Step 2: Add the tens digits (middle column):

  • 1+9=101 + 9 = 10
  • Write 00 and carry over 11 to the hundreds column.

Step 3: Add the hundreds digits (leftmost column), including the carryover:

  • 6+2+1=96 + 2 + 1 = 9

The sum of the numbers 614614 and 290290 is 904904.

Therefore, the solution to the problem is 904 904 .

3

Final Answer

904

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always start adding from the rightmost column first
  • Technique: When sum ≥ 10, write ones digit and carry tens: 1 + 9 = 10, write 0 carry 1
  • Check: Verify by adding in reverse order: 290 + 614 = 904 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when column sum exceeds 9
    Don't write 10 in the tens place when 1 + 9 = 10 = wrong answer 61410! This creates an extra digit and destroys place value. Always write the ones digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

+

When adding digits in a column gives you 10 or more, you write down the ones digit and carry the tens digit to the next column. For example, 1+9=10 1 + 9 = 10 , so write 0 and carry 1.

Why do I start from the right side?

+

You start from the ones place (rightmost) because that's where carrying begins! If you started from the left, you wouldn't know which columns need the carried digits added to them.

What if I forget to carry a number?

+

Your answer will be too small! In this problem, forgetting to carry the 1 would give you 804 instead of 904. Always double-check each column for sums of 10 or more.

Can I add the numbers in a different order?

+

Yes! Addition is commutative, meaning 614+290=290+614 614 + 290 = 290 + 614 . This is actually a great way to check your work - try adding in reverse order!

How do I know if my final answer is reasonable?

+

Use estimation! Round 614 to 600 and 290 to 300. Since 600+300=900 600 + 300 = 900 , your answer should be close to 900. Our answer of 904 makes sense!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations