Compare Numbers: Finding the Correct Symbol Between 24,909 and 24,990

Number Comparison with Five-Digit Integers

Select the appropriate sign:

24,909□24,990 24,909\Box24,990

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Select the appropriate sign:

24,909□24,990 24,909\Box24,990

2

Step-by-step solution

To solve this problem, we'll compare the numbers step-by-step:

  • Step 1: Begin by comparing the numbers from the leftmost digit. Both numbers are in the ten-thousands place with 2, so they are equal here.
  • Step 2: Move to the next digit, which is the thousands place. Both numbers have 4 in this position, so they are still equal in thousands comparison.
  • Step 3: Compare the hundreds place. Both numbers have 9, so they are equal here as well.
  • Step 4: Now, consider the tens place. For 24,909, this digit is 0, while for 24,990, it is 9. Since 0 is less than 9, 24,909 is less than 24,990.
  • Step 5: Based on the comparison of the tens digit, 24,909 is determined to be less than 24,990.

Thus, the appropriate sign to use between these numbers is <<.

Therefore, the correct relationship between the two numbers is 24,909<24,990 24,909 < 24,990 .

3

Final Answer

<

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare digits from left to right until you find a difference
  • Technique: Stop at tens place where 0 < 9, so 24,909 < 24,990
  • Check: Verify by noting 24,909 + 81 = 24,990, confirming the first is smaller ✓

Common Mistakes

Avoid these frequent errors
  • Comparing only the last digits first
    Don't look at the ones place (9 vs 0) and think 24,909 > 24,990! The rightmost digits don't determine which number is larger when left digits differ. Always compare from left to right, stopping at the first different digit.

Practice Quiz

Test your knowledge with interactive questions

Select the appropriate sign:

\( 24,909\Box24,990 \)

FAQ

Everything you need to know about this question

Why do I start comparing from the left side?

+

The leftmost digits have the highest place value! A difference in the ten-thousands place matters more than any difference in smaller places like ones or tens.

What if all the digits are the same?

+

If every single digit matches exactly, then the numbers are equal and you use the = sign. This rarely happens with different-looking numbers!

Do I need to compare every single digit?

+

No! You can stop as soon as you find the first different digit. The number with the larger digit in that position is the greater number.

What if the numbers have different amounts of digits?

+

The number with more digits is always larger (assuming both are positive). For example, any 5-digit number is greater than any 4-digit number.

How can I double-check my comparison?

+

Try subtraction! If 24,990 - 24,909 gives a positive result (81), then 24,990 is larger. If you get a negative result, the first number would be larger.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Magnitude up to a Million questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Numerical Value up to a million

Compare Five-Digit Numbers: Select Symbol Between 67,011 and 67,100
Click to solve
Choose the Correct Sign: Comparing 97,030 and 97,100
Click to solve