Determine the Missing Value: Solving 74,004 < ◻ < 74,203

Q: What does the symbol < mean in this problem?

The symbol means 'less than'. So \( 74,004 means the missing number must be greater than 74,004 AND less than 74,203.

Q: Can the missing number equal 74,004 or 74,203?

No! The not allowed in this range.

Q: How do I quickly check if a number fits in the range?

Use a two-step check:Is the number bigger than the left boundary? (74,004)Is the number smaller than the right boundary? (74,203)If both answers are yes, it fits!

Q: Are there other correct answers besides 74,104?

Yes! Any number between 74,004 and 74,203 would work, like 74,050, 74,100, or 74,200. But you must choose from the given options in a multiple choice question.

Q: What if I can't tell which number is bigger?

Compare place by place from left to right. Since all numbers start with 74, look at the hundreds place, then tens, then ones. The number 74,104 has 1 in hundreds place, while 74,004 has 0.

Number Comparison with Five-Digit Ranges

Select a suitable number for the given range:

$74,004<\Box<74,203$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Select a suitable number for the given range:

$74,004<\Box<74,203$

Step-by-step solution

To solve this problem, we need to find a number that falls within the range $74,004 < \Box < 74,203$ . Let’s see how we can do this:

The range specifies numbers greater than 74,004 and less than 74,203.
Looking at the choices provided:

Choice 1: $74,300$ - This number is greater than 74,203, so it’s not within the range.
Choice 2: $74,104$ - This number lies between 74,004 and 74,203, so it fits within the given range.
Choice 3: If "the answer is correct" - This choice does not provide a specific numerical value, so it cannot be selected.
Choice 4: $74,000$ - This number is less than 74,004, so it’s also not within the range.

Given the analysis above, the only suitable number from the choices provided is $74,104$ .

Therefore, the correct answer to this problem is $\textbf{$\ 74,104 }$$ .

Final Answer

$74,104$

Key Points to Remember

Essential concepts to master this topic

Range Rule: Number must be greater than lower bound and less than upper bound
Technique: Check each option: 74,104 > 74,004 and 74,104 < 74,203
Check: Verify bounds: 74,004 < 74,104 < 74,203 is true ✓

Common Mistakes

Avoid these frequent errors

Choosing numbers outside the given range
Don't pick 74,300 because it's bigger than 74,203 or 74,000 because it's smaller than 74,004 = wrong answer! These violate the inequality conditions. Always check that your number is strictly between both bounds.

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 symbol < mean in this problem?

The symbol < means 'less than'. So $74,004 < \Box < 74,203$ means the missing number must be greater than 74,004 AND less than 74,203.

Can the missing number equal 74,004 or 74,203?

No! The < symbol means strictly less than, not less than or equal to. So 74,004 and 74,203 themselves are not allowed in this range.

How do I quickly check if a number fits in the range?

Use a two-step check:

Is the number bigger than the left boundary? (74,004)
Is the number smaller than the right boundary? (74,203)

If both answers are yes, it fits!

Are there other correct answers besides 74,104?

Yes! Any number between 74,004 and 74,203 would work, like 74,050, 74,100, or 74,200. But you must choose from the given options in a multiple choice question.

What if I can't tell which number is bigger?

Compare place by place from left to right. Since all numbers start with 74, look at the hundreds place, then tens, then ones. The number 74,104 has 1 in hundreds place, while 74,004 has 0.

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