Place Value Puzzle: Finding Numbers with 4 in Thousands and Smaller Hundreds Digit

Q: How do I remember which digit is in the thousands place?

Count from right to left: ones, tens, hundreds, thousands. In $ 4321 $, the leftmost digit 4 is in the thousands place because it's the 4th position from the right.

Q: What does 'smaller than' mean when comparing digits?

Smaller than means the number value is less. For example, 3 is smaller than 4, so 3 $ 4321 $, the hundreds digit 3 is smaller than the thousands digit 4.

Q: Why isn't 4789 correct if it has 4 in the thousands place?

While $ 4789 $ does have 4 in the thousands place, its hundreds digit is 7. Since 7 > 4, the hundreds digit is not smaller than the thousands digit, so it doesn't meet both conditions.

Q: Can a number have 0 in the hundreds place and still work?

Yes! If a number is $ 4023 $, the thousands digit is 4 and hundreds digit is 0. Since 0

Q: How can I quickly check my answer?

Use this two-step check:Step 1: Is the thousands digit (leftmost) equal to 4?Step 2: Is the hundreds digit (third from right) less than 4?If both are true, you have the right answer!

Place Value Analysis with Digit Comparison

Which number has a thousands digit of 4 and a hundreds digit that is smaller than its thousands digit?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which number has a thousands digit of 4 and a hundreds digit that is smaller than its thousands digit?

Step-by-step solution

To solve this problem, let's start by considering the criteria:

The thousands digit of the number must be 4, which represents values in the format $4XXX$ .
The hundreds digit must be less than 4, meaning it can be 0, 1, 2, or 3.

Given these constraints, let's consider the provided choices:

$4321$ :
- Thousands digit is 4.
- Hundreds digit is 3 (which is less than 4).
- This choice satisfies both conditions.
$3321$ :
- Thousands digit is 3.
- This does not satisfy the condition of having a thousands digit of 4. Therefore, it's incorrect.
$1200$ :
- Thousands digit is 1.
- This does not satisfy the condition of having a thousands digit of 4. Therefore, it's incorrect.
$4789$ :
- Thousands digit is 4.
- Hundreds digit is 7 (which is not less than 4).
- This choice does not satisfy the condition of having a hundreds digit less than the thousands digit. Therefore, it's incorrect.

Therefore, the number that meets all the conditions is $4321$ .

Final Answer

$4321$

Key Points to Remember

Essential concepts to master this topic

Thousands Place: The digit in thousands place represents values like 4000
Comparison: For $4321$ , compare hundreds digit 3 < thousands digit 4
Check: Verify both conditions: thousands digit = 4 and hundreds < thousands ✓

Common Mistakes

Avoid these frequent errors

Confusing digit positions and values
Don't look at the wrong place value positions = wrong digit identification! Students often mix up which position is thousands vs hundreds. Always count from right to left: ones, tens, hundreds, thousands.

Practice Quiz

Test your knowledge with interactive questions

A thousand units is represented by a cube as shown below:

What number do the cubes below represent?

FAQ

Everything you need to know about this question

How do I remember which digit is in the thousands place?

Count from right to left: ones, tens, hundreds, thousands. In $4321$ , the leftmost digit 4 is in the thousands place because it's the 4th position from the right.

What does 'smaller than' mean when comparing digits?

Smaller than means the number value is less. For example, 3 is smaller than 4, so 3 < 4. In $4321$ , the hundreds digit 3 is smaller than the thousands digit 4.

Why isn't 4789 correct if it has 4 in the thousands place?

While $4789$ does have 4 in the thousands place, its hundreds digit is 7. Since 7 > 4, the hundreds digit is not smaller than the thousands digit, so it doesn't meet both conditions.

Can a number have 0 in the hundreds place and still work?

Yes! If a number is $4023$ , the thousands digit is 4 and hundreds digit is 0. Since 0 < 4, this would satisfy both conditions perfectly.

How can I quickly check my answer?

Use this two-step check:

Step 1: Is the thousands digit (leftmost) equal to 4?
Step 2: Is the hundreds digit (third from right) less than 4?

If both are true, you have the right answer!

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