Place Value Practice: Finding Numbers with 4 in Thousands Place Below 70,000

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

Count from the right side of the number! Position 1 = ones, position 2 = tens, position 3 = hundreds, position 4 = thousands. The thousands place is always the 4th digit from the right.

Q: What if the number has fewer than 4 digits?

Numbers with fewer than 4 digits don't have a thousands place! For example, 349 only goes up to hundreds place. You need at least 4 digits to have a thousands place.

Q: Why isn't 84,001 correct if it has a 4?

Look carefully at the position! In $ 84,001 $, the 4 is in the thousands place, but 84,001 > 70,000. We need both conditions: 4 in thousands place and less than 70,000.

Q: How can I quickly check if a number is less than 70,000?

Look at the ten-thousands digit (leftmost digit in 5-digit numbers). If it's 6 or less, the number is definitely under 70,000. If it's 7 or more, check more carefully.

Q: What's the difference between 62,949 and 64,998?

In $ 62,949 $, the thousands digit is 2. In $ 64,998 $, the thousands digit is 4. Only the second one meets our requirement!

Place Value Identification with Digit Position Analysis

Choose a number less than 70,000 with a thousands digit of 4.

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Choose a number less than 70,000 with a thousands digit of 4.

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify numbers with a thousands digit of 4.
Step 2: Ensure the chosen number is less than 70,000.

Now, let's work through each step:
Step 1: Review the thousands digits:
- Option 1: $64,998$ has a thousands digit of 4.
- Option 2: $84,001$ has a thousands digit of 8.
- Option 3: $75,400$ has a thousands digit of 5.
- Option 4: $62,949$ has a thousands digit of 2.
Step 2: Confirm that the number is less than 70,000:
- $64,998$ is indeed less than 70,000.
Therefore, the solution to the problem is $64,998$ .

Final Answer

$64,998$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Thousands digit is fourth from right in five-digit numbers
Technique: Check 64,998: thousands place has 4, number is 64,998 < 70,000
Verification: Count positions right to left: ones, tens, hundreds, thousands (4) ✓

Common Mistakes

Avoid these frequent errors

Confusing ten-thousands and thousands place positions
Don't count the ten-thousands digit as the thousands digit = wrong answer every time! In 84,001, the 8 is ten-thousands, not thousands. Always count from right: ones, tens, hundreds, then thousands (4th position).

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

Write the units in the place value chart and convert into a number.

FAQ

Everything you need to know about this question

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

Count from the right side of the number! Position 1 = ones, position 2 = tens, position 3 = hundreds, position 4 = thousands. The thousands place is always the 4th digit from the right.

What if the number has fewer than 4 digits?

Numbers with fewer than 4 digits don't have a thousands place! For example, 349 only goes up to hundreds place. You need at least 4 digits to have a thousands place.

Why isn't 84,001 correct if it has a 4?

Look carefully at the position! In $84,001$ , the 4 is in the thousands place, but 84,001 > 70,000. We need both conditions: 4 in thousands place and less than 70,000.

How can I quickly check if a number is less than 70,000?

Look at the ten-thousands digit (leftmost digit in 5-digit numbers). If it's 6 or less, the number is definitely under 70,000. If it's 7 or more, check more carefully.

What's the difference between 62,949 and 64,998?

In $62,949$ , the thousands digit is 2. In $64,998$ , the thousands digit is 4. Only the second one meets our requirement!

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