Place Value Problem: Find Numbers Where Thousandth Digit = Units Digit - 4

Q: What exactly is the thousandth digit in a 4-digit number?

In a 4-digit number like $ 1235 $, the thousandth digit is actually the thousands place - the leftmost digit (1). The units digit is the rightmost digit (5).

Q: How do I remember which digit is which place?

Start from the right and count: units, tens, hundreds, thousands. So in $ 1235 $: 5 is units, 3 is tens, 2 is hundreds, 1 is thousands (thousandth).

Q: Why doesn't 1025 work even though 5 - 1 = 4?

Great observation! $ 1025 $ does satisfy the digit condition, but the problem asks for a number greater than 1029. Since \( 1025 , it doesn't meet all requirements.

Q: What if multiple answers seem correct?

Check both conditions carefully: (1) the digit relationship and (2) the number being greater than 1029. Only answers meeting both requirements are correct.

Q: How can I quickly check my digit subtraction?

Write the number clearly, identify each digit's place value, then subtract: units digit - thousands digit. For $ 1235 $: $ 5 - 1 = 4 $ ✓

Place Value Analysis with Digit Relationships

Choose a number greater than 1029 whose thousandth digit is 4 less than its units digit.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose a number greater than 1029 whose thousandth digit is 4 less than its units digit.

Step-by-step solution

To solve this problem, we will evaluate each choice to find the number where the thousandth digit is 4 less than its units digit, and the entire number is greater than 1029.

Choice 1: $1037$
Thousandth digit is 1, unit digit is 7. The difference is $7 - 1 = 6$ , which does not satisfy the condition (needs to be 4).
Choice 2: $408$
This does not meet the requirement of being greater than 1029.
Choice 3: $1025$
Thousandth digit is 1, unit digit is 5. The difference is $5 - 1 = 4$ , which meets the condition. However, $1025$ is not greater than $1029$ .
Choice 4: $1235$
Thousandth digit is 1, unit digit is 5. The difference is $5 - 1 = 4$ , and the number is greater than $1029$ . This satisfies all conditions.

Therefore, among the given options, the correctly chosen number is $1235$ .

Final Answer

$1235$

Key Points to Remember

Essential concepts to master this topic

Position: Identify thousandth, hundredth, tenth, and units digits correctly
Relationship: Units digit - thousandth digit = 4 (like 5 - 1 = 4)
Check: Verify number > 1029 and digit difference equals 4 ✓

Common Mistakes

Avoid these frequent errors

Confusing thousandth place with thousands place
Don't mix up the thousandth digit (rightmost) with the thousands digit (leftmost) = completely wrong answer! The thousandth place is the units column, while thousands place is far left. Always count place values from right to left: units, 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

What exactly is the thousandth digit in a 4-digit number?

In a 4-digit number like $1235$ , the thousandth digit is actually the thousands place - the leftmost digit (1). The units digit is the rightmost digit (5).

How do I remember which digit is which place?

Start from the right and count: units, tens, hundreds, thousands. So in $1235$ : 5 is units, 3 is tens, 2 is hundreds, 1 is thousands (thousandth).

Why doesn't 1025 work even though 5 - 1 = 4?

Great observation! $1025$ does satisfy the digit condition, but the problem asks for a number greater than 1029. Since $1025 < 1029$ , it doesn't meet all requirements.

What if multiple answers seem correct?

Check both conditions carefully: (1) the digit relationship and (2) the number being greater than 1029. Only answers meeting both requirements are correct.

How can I quickly check my digit subtraction?

Write the number clearly, identify each digit's place value, then subtract: units digit - thousands digit. For $1235$ : $5 - 1 = 4$ ✓

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