Solve Addition Problem: 33 + 9 = ?

Addition Decomposition with Strategic Breaking

33+9= ? 33+9=\text{ ?}

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Step-by-step written solution

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1

Understand the problem

33+9= ? 33+9=\text{ ?}

2

Step-by-step solution

To solve the expression 33+9 33 + 9 by breaking down 9 9 , follow these steps:

  • Step 1: Decompose 9 9 into 7+2 7 + 2 .
  • Step 2: First, add 33+7 33 + 7 . This gives you 40 40 .
  • Step 3: Next, add the remaining part of 9 9 , which is 2 2 , to 40 40 .
  • Step 4: The result of 40+2 40 + 2 is 42 42 .

Thus, the detailed decomposition to match the answer format is: 33+7+2 33 + 7 + 2 .

3

Final Answer

33+7+2 33+7+2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Break numbers into parts that make round numbers
  • Technique: Decompose 9 into 7 + 2 so 33 + 7 = 40
  • Check: Verify 33 + 7 + 2 equals original 33 + 9 ✓

Common Mistakes

Avoid these frequent errors
  • Breaking numbers randomly without strategy
    Don't split 9 into any random parts like 4 + 5 = wrong strategy! This makes addition harder instead of easier. Always break numbers to create round tens (like 40) for simpler mental math.

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 7 + 2 instead of other combinations?

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Breaking 9 into 7 + 2 is strategic! When you add 33 + 7, you get the round number 40, which makes the final step (40 + 2 = 42) much easier to calculate mentally.

What if I just add 33 + 9 directly?

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Direct addition works too! But decomposition helps you understand place value better and makes mental math faster, especially with larger numbers.

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

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Look for combinations that create round tens! Since 33 needs 7 more to reach 40, break 9 into 7 + 2. This strategy works for any addition problem.

Can I break the first number instead of the second?

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Yes! You could write it as 30 + 3 + 9, then add 30 + 9 = 39, then 39 + 3 = 42. Both methods work, so choose what feels easier!

Why is 33 + 3 + 5 wrong?

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Because 3 + 5 = 8, not 9! The decomposition must add up to the original number. Always double-check that your broken parts equal the whole number.

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