Compare Expressions: Find the Correct Sign Between 10+5 and 10+10

Inequality Comparison with Simple Addition

Choose the correct sign:

10+510+10 10+5\Box10+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:

10+510+10 10+5\Box10+10

2

Step-by-step solution

To solve this problem, let's determine the values of each sum and compare them:

  • Step 1: Calculate the sum of 10+510 + 5.

Performing the addition, we have:

10+5=1510 + 5 = 15

  • Step 2: Calculate the sum of 10+1010 + 10.

Performing the addition, we have:

10+10=2010 + 10 = 20

  • Step 3: Compare the two sums: 1515 and 2020.

Since 1515 is less than 2020, the inequality between 1515 and 2020 is:

15<2015 < 20

Therefore, the correct sign to insert in 10+510+1010 + 5\Box10 + 10 is:

<<

Thus, the complete inequality is:

10+5<10+1010 + 5 < 10 + 10

Therefore, the solution to the given problem is =<\Box = <.

3

Final Answer

< <

Key Points to Remember

Essential concepts to master this topic
  • Rule: Calculate each expression first, then compare the results
  • Technique: Solve left side 10 + 5 = 15, right side 10 + 10 = 20
  • Check: Verify 15 < 20 by counting or using number line ✓

Common Mistakes

Avoid these frequent errors
  • Comparing without calculating the sums first
    Don't just look at 10+5 vs 10+10 and guess = wrong comparison! You might think they look similar and choose equals. Always calculate both sides completely: 15 < 20.

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 really need to add these simple numbers?

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Yes! Even with easy addition, always calculate first. This builds good habits for harder problems and prevents silly mistakes.

How do I remember which symbol means 'less than'?

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Think of the symbol < < as a hungry mouth that always opens toward the bigger number. So 15 < 20 means the mouth opens toward 20!

What if I calculated wrong and got the wrong answer?

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Double-check your addition! Use your fingers, draw pictures, or count up. 10 + 5: start at 10, count 5 more gets 15. 10 + 10 is two tens = 20.

Can both sides ever be equal in these problems?

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Yes! If both expressions equal the same number, then you'd use the = = sign. But always calculate first to be sure.

Why is this important to learn?

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Comparing expressions teaches you to evaluate before deciding. This skill helps with bigger math problems, word problems, and logical thinking!

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