Solve the Addition Problem: Finding the Sum of 26 + 19

Two-Digit Addition with Carrying

26+19=? 26+19=\text{?}

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Step-by-step written solution

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1

Understand the problem

26+19=? 26+19=\text{?}

2

Step-by-step solution

To find the sum of the numbers 26 26 and 19 19 , we perform the following step-by-step arithmetic calculation:

  • Step 1: Arrange the numbers in a vertical column for addition:
    +126 \phantom{+1}26
    +119 +\phantom{1}19

  • Step 2: Start adding from the unit column (right to left). Add the digits in the ones column:

    • 6 (from 26) + 9 (from 19) = 15. Write down 5 and carry over 1 to the tens column.

  • Step 3: Move to the tens column and add:

    • 2 (from 26) + 1 (from 19) + 1 (carry) = 4, write down 4.

Thus, the sum of 26 26 and 19 19 is 45 45 .

Therefore, the correct answer is 45 45 .

3

Final Answer

45 45

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically with ones and tens columns aligned
  • Technique: Add ones first: 6 + 9 = 15, write 5 and carry 1
  • Check: Verify by adding backwards: 45 - 19 = 26 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry the 1 to the tens column
    Don't just write down 15 when adding 6 + 9 = wrong answer of 315 or 415! This ignores place value completely. Always write the ones digit (5) and carry the tens digit (1) to the next column.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

What does 'carry' mean in addition?

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When you add digits and get a number 10 or higher, you write down the ones digit and 'carry' the tens digit to the next column. For example: 6 + 9 = 15, so write 5 and carry 1.

Why do I need to line up the numbers vertically?

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Place value matters! Ones must be added to ones, tens to tens. If numbers aren't aligned properly, you might accidentally add a tens digit to a ones digit.

What if I forget to add the carried number?

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You'll get the wrong answer! In this problem, forgetting the carried 1 would give you 2+1=3 2 + 1 = 3 instead of 2+1+1=4 2 + 1 + 1 = 4 in the tens column.

Can I add from left to right instead?

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It's possible but much harder with carrying! The standard right-to-left method ensures you handle all carries systematically without missing any.

How do I check if my addition is correct?

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Try subtraction! Take your answer and subtract one of the original numbers. You should get the other original number: 4519=26 45 - 19 = 26

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