Compare Expressions: Finding the Correct Sign in 34+52□22+36

Expression Comparison with Two-Step Addition

Choose the correct sign:

34+5222+36 34+52\Box22+36

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Choose the correct sign:

34+5222+36 34+52\Box22+36

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the sum 34+52 34 + 52 .
  • Step 2: Calculate the sum 22+36 22 + 36 .
  • Step 3: Compare the two sums.

Now, let's work through each step:
Step 1: Calculate 34+52 34 + 52 :
34+52=86 34 + 52 = 86 .

Step 2: Calculate 22+36 22 + 36 :
22+36=58 22 + 36 = 58 .

Step 3: Compare the sums:
We have 86 86 (from 34+52 34 + 52 ) and 58 58 (from 22+36 22 + 36 ).
Since 86 86 is greater than 58 58 , we conclude that the correct sign is > > .

Therefore, the correct sign for 34+5222+36 34 + 52 \Box 22 + 36 is > > .

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Rule: Calculate each side completely before comparing the results
  • Technique: Solve 34 + 52 = 86 and 22 + 36 = 58 separately
  • Check: Verify that 86 > 58 makes the inequality 34 + 52 > 22 + 36 true ✓

Common Mistakes

Avoid these frequent errors
  • Comparing individual numbers instead of complete expressions
    Don't compare 34 to 22 or 52 to 36 individually = wrong comparison! This ignores the addition operations and leads to incorrect inequality signs. Always calculate the complete sum on each side first, then compare the final results.

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

Do I need to solve both sides even if one looks obviously bigger?

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Yes, always calculate both sides completely! What looks bigger at first glance might not be after you add. For example, 99 + 1 looks bigger than 50 + 60, but both equal 100.

What if both sides equal the same number?

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Then you would use the equals sign (=)! When both expressions have the same value, they are equal, not greater than or less than each other.

Can I use mental math or do I need to write it out?

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You can use mental math if you're confident, but writing out each step helps avoid calculation errors and makes it easier to check your work.

How do I remember which way the inequality sign points?

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Think of the inequality sign as a hungry mouth - it always wants to 'eat' the bigger number! So 86>58 86 > 58 means 86 is bigger.

What if I get the addition wrong?

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Double-check your arithmetic! You can verify by adding in a different order: 34+52 34 + 52 can be checked as 50+36=86 50 + 36 = 86 . Always recheck your sums before comparing.

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