Solve the Addition Problem: 36 + 7 = ?

Addition Decomposition with Number Breaking

36+7= ? 36+7=\text{ ?}

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

36+7= ? 36+7=\text{ ?}

2

Step-by-step solution

To solve the problem 36+736 + 7, follow these steps:

  • Step 1: Add 3636 and 77. This results in 4343.
  • Step 2: Decompose 77 into two parts to match the given choices: 4+34 + 3.
  • Step 3: Rewrite the problem as 36+4+336 + 4 + 3, which simplifies to the same total, 4343.

Therefore, the equivalent expression for 36+736 + 7 is 36+4+336 + 4 + 3, which matches choice 4.

3

Final Answer

36+4+3 36+4+3

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break down numbers into smaller parts that equal the same sum
  • Technique: Decompose 7 as 4 + 3 to get 36 + 4 + 3
  • Check: Verify both expressions equal 43: 36 + 7 = 36 + 4 + 3 ✓

Common Mistakes

Avoid these frequent errors
  • Adding incorrectly when decomposing numbers
    Don't change the original sum when breaking numbers apart = wrong total! If you decompose 7 as 5 + 3 but write 33 + 5 + 3, you get 41 instead of 43. Always ensure your decomposed parts add up to the original number.

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 do I need to break 7 into two parts?

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Breaking numbers apart helps you understand different ways to represent the same value. In this problem, 7 can be written as 4 + 3, so 36 + 7 becomes 36 + 4 + 3 - same answer, different form!

How do I know which way to break up the number?

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Look at the answer choices! They show you exactly how to decompose the number. For 36+7 36 + 7 , the correct choice breaks 7 into 4 + 3.

Do all the answer choices give the same total?

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No! Only the correct decomposition maintains the original sum. Choice 1 gives 33 + 5 + 3 = 41, while the correct answer 36 + 4 + 3 = 43, matching 36+7=43 36 + 7 = 43 .

What's the point of writing addition in different ways?

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This builds number sense and helps you see that the same value can be expressed multiple ways. It's like saying 'a dozen' or '12' - different words, same amount!

Can I decompose 36 instead of 7?

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Yes! You could break 36 into smaller parts too, but in this problem, the answer choices specifically show decompositions of the second number (7). Always follow what the question asks for.

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