Complete the Expression: Find the Missing Sign in 39-6□94-61

Comparison Operations with Equivalent Expressions

Fill in the missing sign:

3969461 39-6\Box94-61

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the missing sign:

3969461 39-6\Box94-61

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Perform the subtraction 39639 - 6.
  • Step 2: Perform the subtraction 946194 - 61.
  • Step 3: Compare the results of the two subtractions.

Let's work through each step:

Step 1: Calculate 39639 - 6:
396=3339 - 6 = 33.

Step 2: Calculate 946194 - 61:
9461=3394 - 61 = 33.

Step 3: Compare the two results:
Since both subtractions result in 33, the correct relational sign to put in the missing box is ==.

Therefore, the expression should be:

396=946139 - 6 = 94 - 61.

Thus, the solution to the problem is the missing sign is ==.

3

Final Answer

= =

Key Points to Remember

Essential concepts to master this topic
  • Rule: Calculate each side separately before comparing values
  • Technique: Solve 39-6=33 and 94-61=33 to find equality
  • Check: Verify both calculations give same result: 33=33 ✓

Common Mistakes

Avoid these frequent errors
  • Guessing the comparison sign without calculating
    Don't assume > or < without doing the math = wrong comparisons! The numbers might look different but give equal results. Always calculate both sides completely before choosing the comparison sign.

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

How do I know which sign to use?

+

You must calculate both sides first! Work out 39-6 and 94-61 separately, then compare the results. If they're equal, use =. If the left is bigger, use >. If the right is bigger, use <.

Can I just look at the numbers to decide?

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Never guess! Even though 39 and 94 look very different, the subtractions might give the same answer. Always do the complete calculations before comparing.

What if I get different results on each side?

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Then you'll use either > or < depending on which result is larger. But in this problem, both sides equal 33, so the answer is = = !

Do I need to show my work for both calculations?

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Yes! Write out both subtractions clearly: 396=33 39-6=33 and 9461=33 94-61=33 . This helps you avoid mistakes and shows your thinking.

What does the box symbol mean?

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The box \Box is a placeholder for the missing comparison sign. You need to fill it with =, >, or < based on your calculations.

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