Find the Missing Number: 12,399 < □ < 13,001

Q: What does the box symbol mean in this inequality?

The box (□) represents the missing number you need to find. It's like a placeholder that should be replaced with a number that makes the inequality true.

Q: How do I know if a number is between two other numbers?

A number is between two others if it's larger than the smaller number AND smaller than the larger number. For example: $ 12,850 $ works because $ 12,850 > 12,399 $ and \( 12,850 .

Q: What if multiple answer choices seem to fit?

Test each choice carefully! In this problem, only one number satisfies both conditions. Numbers like $ 12,100 $ and $ 12,300 $ are too small, while $ 13,100 $ is too large.

Q: Do I need to memorize which numbers are bigger?

No memorization needed! Just compare digits from left to right. Start with ten-thousands, then thousands, then hundreds, etc. When digits are different, the larger digit means the larger number.

Q: Can there be more than one correct answer?

In multiple choice questions like this, there's typically one correct answer. However, in real math, there are infinitely many numbers between any two given numbers!

Number Ordering with Five-Digit Inequalities

Fill in the missing number:

$12,399 < \Box < 13,001$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Fill in the missing number:

$12,399 < \Box < 13,001$

Step-by-step solution

Let's solve the problem by examining each possible answer choice to determine which one fits within the range $12,399 < \Box < 13,001$ .

Choice 1: $12,100$
$12,100$ is less than $12,399$ , so it does not satisfy $12,399 < 12,100$ .
Choice 2: $13,100$
$13,100$ is greater than $13,001$ , so it does not satisfy $13,100 < 13,001$ .
Choice 3: $12,850$
$12,399 < 12,850$ and $12,850 < 13,001$ . This choice satisfies both conditions.
Choice 4: $12,300$
$12,300$ is less than $12,399$ , so it does not satisfy $12,399 < 12,300$ .

Therefore, the number that fits between 12,399 and 13,001 is $12,850$ .

Final Answer

$12,850$

Key Points to Remember

Essential concepts to master this topic

Inequality Rule: Find numbers strictly between two given boundary values
Technique: Check each choice: 12,850 > 12,399 and 12,850 < 13,001
Verification: Confirm both conditions are satisfied: 12,399 < 12,850 < 13,001 ✓

Common Mistakes

Avoid these frequent errors

Choosing numbers equal to the boundaries
Don't pick 12,399 or 13,001 as answers = they don't satisfy strict inequality! The symbols < and > mean 'less than' and 'greater than', not 'less than or equal to'. Always choose numbers that are strictly between the boundaries, not equal to them.

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

What does the box symbol mean in this inequality?

The box (□) represents the missing number you need to find. It's like a placeholder that should be replaced with a number that makes the inequality true.

How do I know if a number is between two other numbers?

A number is between two others if it's larger than the smaller number AND smaller than the larger number. For example: $12,850$ works because $12,850 > 12,399$ and $12,850 < 13,001$ .

What if multiple answer choices seem to fit?

Test each choice carefully! In this problem, only one number satisfies both conditions. Numbers like $12,100$ and $12,300$ are too small, while $13,100$ is too large.

Do I need to memorize which numbers are bigger?

No memorization needed! Just compare digits from left to right. Start with ten-thousands, then thousands, then hundreds, etc. When digits are different, the larger digit means the larger number.

Can there be more than one correct answer?

In multiple choice questions like this, there's typically one correct answer. However, in real math, there are infinitely many numbers between any two given numbers!

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