Complete the Expression: Find the Missing Sign in 14+2□24-10

Comparing Expressions with Mixed Operations

Choose the correct sign:

14+22410 14+2\Box24-10

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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:

14+22410 14+2\Box24-10

2

Step-by-step solution

To determine the correct sign to use in the expression 14+22410 14+2\Box24-10 , we will perform the following calculations:

  • Step 1: Calculate 14+2 14 + 2 .
  • Step 2: Calculate 2410 24 - 10 .
  • Step 3: Compare the results of both calculations.

Now, let's evaluate each expression:

Step 1: 14+2=16 14 + 2 = 16 .

Step 2: 2410=14 24 - 10 = 14 .

Step 3: Compare the values 16 and 14. Clearly, 16 is greater than 14.

Therefore, the correct sign to complete the expression 14+22410 14 + 2 \Box 24 - 10 is > > .

14+2>2410 14 + 2 > 24 - 10

Therefore, the correct answer is >\textbf{>} .

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Rule: Calculate each side separately before comparing the values
  • Technique: Left side: 14 + 2 = 16, Right side: 24 - 10 = 14
  • Check: Verify comparison by substituting: 16 > 14 is true ✓

Common Mistakes

Avoid these frequent errors
  • Comparing terms across the inequality without calculating
    Don't compare 14 + 2 with 24 - 10 by looking at individual numbers = wrong conclusions! Students might think 24 is biggest so right side wins. 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 follow order of operations when comparing expressions?

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Yes! Each side of the comparison is a separate expression. Calculate each side completely using order of operations, then compare the final numbers.

What if both sides equal the same number?

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Then you would use the equals sign (=)! The comparison symbol depends entirely on what the calculated values turn out to be.

Can I rearrange terms before calculating?

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You can rearrange using algebra rules, but it's usually easier and safer to calculate each side as written first, then compare the results.

How do I remember which way the inequality symbol points?

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The symbol always points to the smaller number! Think of it like a hungry alligator - it always wants to eat the bigger number. So 16>14 16 > 14 means 16 is greater than 14.

What happens if I get the inequality backwards?

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Double-check by asking: "Is 16 really greater than 14?" If yes, then 16>14 16 > 14 is correct. If you wrote 16<14 16 < 14 , that would mean "16 is less than 14" which is false.

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