Find the Missing Operator in 63-51□88-42: Mathematical Expression Challenge

Inequality Comparison with Expression Evaluation

Select the compatible sign:

63−51□88−42 63-51\Box88-42

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Select the compatible sign:

63−51□88−42 63-51\Box88-42

2

Step-by-step solution

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

  • Step 1: Calculate 63−51 63 - 51 .
  • Step 2: Calculate 88−42 88 - 42 .
  • Step 3: Compare the two results and choose the correct sign.

Now, let's work through each step:

Step 1: Calculate 63−51 63 - 51 .
63−51=12 63 - 51 = 12 .

Step 2: Calculate 88−42 88 - 42 .
88−42=46 88 - 42 = 46 .

Step 3: Compare the results of Step 1 and Step 2.
We have 12 12 and 46 46 .

Since 12 12 is less than 46 46 , we use the sign < < to complete the inequality.

Therefore, the correct inequality is 63−51<88−42 63 - 51 < 88 - 42 .

The solution, therefore, is < < .

3

Final Answer

< <

Key Points to Remember

Essential concepts to master this topic
  • Order: Always calculate each side completely before comparing values
  • Technique: Evaluate left: 63 - 51 = 12, right: 88 - 42 = 46
  • Check: Verify comparison makes sense: 12 < 46 is true ✓

Common Mistakes

Avoid these frequent errors
  • Comparing terms without calculating expressions first
    Don't compare 63 vs 88 directly without subtracting = wrong comparison! This ignores the subtraction operations and leads to incorrect inequality signs. Always calculate each complete expression 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 before comparing?

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Yes! You must calculate each expression completely first. Don't compare individual numbers - compare the final results of each side.

What if I get the same number on both sides?

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Then you would use the equals sign (=)! But always double-check your arithmetic to make sure both sides really are equal.

How do I remember which direction the inequality sign goes?

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Think of it like a hungry alligator - the open mouth always points toward the larger number. So 12<46 12 < 46 means 12 is less than 46.

What if I calculated wrong and got a different answer?

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Double-check your subtraction! Common errors: 63−51 63 - 51 should equal 12, and 88−42 88 - 42 should equal 46. Verify each step carefully.

Can I work from right to left instead?

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You can calculate the expressions in any order, but the inequality direction depends on which expression is on the left vs right side of the comparison.

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