Place Value Exercise: Positioning 8 in Tens of Thousands Place

Q: How do I remember which position is tens of thousands?

Think of it like this: ones, tens, hundreds, thousands, ten-thousands. Count on your fingers starting from the right! The ten-thousands place is always the 5th digit from the right.

Q: What if the number has fewer than 5 digits?

If a number has fewer than 5 digits, it doesn't have a ten-thousands place. For example, 8,432 only goes up to the thousands place, so 8 is in the thousands position, not ten-thousands.

Q: Why does 80,123 work but 18,888 doesn't?

In $ 80,123 $, the 8 is in position 5 from the right (ten-thousands). In $ 18,888 $, the first 8 is only in position 4 from the right (thousands place). Position matters!

Q: Can there be more than one correct answer?

Yes! Any 5-digit number starting with 8 works: $ 85,000 $, $ 89,999 $, $ 81,234 $, etc. The key is having 8 in that fifth position from the right.

Q: How do I avoid mixing up place values?

Use the comma trick! In $ 80,123 $, everything before the first comma from the right is in the thousands or higher. The 8 comes before the comma, so it's in ten-thousands place.

Place Value Understanding with Multi-digit Numbers

Choose a number where the number 8 represents the tens of thousands 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 where the number 8 represents the tens of thousands digit.

Step-by-step solution

To solve this problem, we need to identify the number with 8 as the tens of thousands digit. Let's follow these steps:

Step 1: Understand the place value system. In the decimal system, the tens of thousands place is the fifth digit from the right.
Step 2: For each choice, identify the tens of thousands digit by breaking down the number.

Let's analyze each provided option:

Option 1: $26,085$ - The tens of thousands digit is 2.
Option 2: $18,888$ - The tens of thousands digit is 1.
Option 3: $80,123$ - The tens of thousands digit is 8, which satisfies our condition.
Option 4: $18,852$ - The tens of thousands digit is 1.

Based on our analysis, the number $80,123$ has an 8 in the tens of thousands place. Thus, the correct answer to the problem is $80,123$ .

Final Answer

$80,123$

Key Points to Remember

Essential concepts to master this topic

Place Value System: Fifth digit from right is tens of thousands place
Technique: Break down 80,123 as 8 ten-thousands + 0 thousands + 1 hundred + 2 tens + 3 ones
Check: Count positions from right: ones, tens, hundreds, thousands, ten-thousands = position 5 ✓

Common Mistakes

Avoid these frequent errors

Counting positions from the left instead of right
Don't count place values starting from the left side of a number = wrong position identification! This confuses students because place values always start counting from the ones place on the right. Always count positions starting from the rightmost digit (ones place) and move left.

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 position is tens of thousands?

Think of it like this: ones, tens, hundreds, thousands, ten-thousands. Count on your fingers starting from the right! The ten-thousands place is always the 5th digit from the right.

What if the number has fewer than 5 digits?

If a number has fewer than 5 digits, it doesn't have a ten-thousands place. For example, 8,432 only goes up to the thousands place, so 8 is in the thousands position, not ten-thousands.

Why does 80,123 work but 18,888 doesn't?

In $80,123$ , the 8 is in position 5 from the right (ten-thousands). In $18,888$ , the first 8 is only in position 4 from the right (thousands place). Position matters!

Can there be more than one correct answer?

Yes! Any 5-digit number starting with 8 works: $85,000$ , $89,999$ , $81,234$ , etc. The key is having 8 in that fifth position from the right.

How do I avoid mixing up place values?

Use the comma trick! In $80,123$ , everything before the first comma from the right is in the thousands or higher. The 8 comes before the comma, so it's in ten-thousands place.

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