Solve the Addition Problem: Finding the Sum of 26 + 9

Addition Decomposition with Strategic Grouping

26+9= ? 26+9=\text{ ?}

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

26+9= ? 26+9=\text{ ?}

2

Step-by-step solution

To solve the problem 26+9 26 + 9 , we will simplify the addition by breaking down the number 9 into two smaller numbers. Here's how we can do it step-by-step:

  • Step 1: Break down the number 9. We can express 9 as 4+5 4 + 5 .

  • Step 2: Add 4 to 26. Starting with 26, add 4: 26+4=30 26 + 4 = 30 .

  • Step 3: Add the remaining 5 to the result of step 2. Now, add 5 to 30: 30+5=35 30 + 5 = 35 .

So, the sum of 26 and 9 is 35, which can be expressed as the equivalent expression 26+4+5 26 + 4 + 5 .

Therefore, according to the given choices, the correct expression equivalent to 26+9 26 + 9 is 26+4+5 26 + 4 + 5 .

3

Final Answer

26+4+5 26+4+5

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break apart numbers to create friendly sums like 30
  • Technique: Decompose 9 as 4 + 5 to make 26 + 4 = 30
  • Check: Verify 26 + 4 + 5 = 30 + 5 = 35 equals 26 + 9 ✓

Common Mistakes

Avoid these frequent errors
  • Breaking numbers randomly without strategy
    Don't split 9 into any random parts like 5 + 6 = wrong grouping! This misses the chance to make friendly numbers like 30. Always look for decompositions that create round numbers (multiples of 10).

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

Why break 9 into 4 + 5 instead of other combinations?

+

Breaking 9 into 4 + 5 is strategic because 26 + 4 = 30, which is a friendly number! Then 30 + 5 = 35 is much easier to calculate than jumping straight to 26 + 9.

How do I know which number to break apart?

+

Look at the larger number first. Since 26 is close to 30, we need 4 more to reach 30. So break the smaller number (9) to include that 4: 9 = 4 + 5.

Can I break apart 26 instead of 9?

+

Yes! You could write 26 as 20+6 20 + 6 , giving you 20+6+9=20+15=35 20 + 6 + 9 = 20 + 15 = 35 . Both methods work, but breaking the smaller number is usually easier.

What if I get confused with all the steps?

+

Start simple! First find 26 + 9 = 35 using any method you know. Then check which answer choice also equals 35 by calculating each one step by step.

Is there a faster way than breaking numbers apart?

+

You can add directly: 26 + 9. Count up from 26: 27, 28, 29, 30, 31, 32, 33, 34, 35. But decomposition helps you understand why addition works this way!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural Numbers around 100 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