Find the Place Value: Locating Digit 8 in 38,697

Q: How do I remember the order of place values?

Use this pattern: Units, Tens, Hundreds, Thousands. Each place is 10 times bigger than the one to its right. You can also think "U-T-H-T" as you count from right to left!

Q: What if there are more digits in the number?

Keep going! After thousands comes ten thousands, hundred thousands, millions, and so on. The pattern continues with the same three names (units/ones, tens, hundreds) repeating in groups.

Q: Why does the 8 represent 8000 and not just 8?

Because the digit 8 is in the thousands place! Its value equals 8 × 1000 = 8000. Each digit's actual value depends on both the digit itself and its position.

Q: What's the difference between digit and place value?

The digit is just the symbol (like 8). The place value is the position name (like thousands). The digit's value is what it represents based on its place (8 in thousands place = 8000).

Place Value with Multi-Digit Numbers

Which digit is the number 8 in the number 38,697?

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Step-by-step written solution

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Understand the problem

Which digit is the number 8 in the number 38,697?

Step-by-step solution

To determine the place value of the digit 8 in the number 38,697, we will use the decimal place value system. In a multi-digit number, each digit has a specific place value based on its position from right to left. The place values are as follows: units, tens, hundreds, thousands, ten thousands, and so on.

Let's write down the number 38,697 along with its place values:

The rightmost position is units, represented by the digit 7.
The next position is tens, represented by the digit 9.
The next position is hundreds, represented by the digit 6.
The next position is thousands, represented by the digit 8.
The leftmost position we're considering, in this case, is ten thousands, represented by the digit 3.

The digit 8 is in the thousands place. Thus, the place value of the digit 8 in the number 38,697 is 'Thousands'.

Therefore, the correct choice is Thousands.

Final Answer

Thousands

Key Points to Remember

Essential concepts to master this topic

Rule: Each position has a specific value from right to left
Technique: Count positions: 38,697 has 8 in the fourth position (thousands)
Check: Cover other digits and confirm 8 × 1000 = 8000 ✓

Common Mistakes

Avoid these frequent errors

Counting positions from left to right
Don't start counting from the leftmost digit = wrong place values! This makes you think 8 is in the tens place instead of thousands. Always start counting positions from the rightmost digit (units place).

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 the order of place values?

Use this pattern: Units, Tens, Hundreds, Thousands. Each place is 10 times bigger than the one to its right. You can also think "U-T-H-T" as you count from right to left!

What if there are more digits in the number?

Keep going! After thousands comes ten thousands, hundred thousands, millions, and so on. The pattern continues with the same three names (units/ones, tens, hundreds) repeating in groups.

Why does the 8 represent 8000 and not just 8?

Because the digit 8 is in the thousands place! Its value equals 8 × 1000 = 8000. Each digit's actual value depends on both the digit itself and its position.

What's the difference between digit and place value?

The digit is just the symbol (like 8). The place value is the position name (like thousands). The digit's value is what it represents based on its place (8 in thousands place = 8000).

How can I check if I found the right place value?

Count carefully from right to left: position 1 = units, position 2 = tens, position 3 = hundreds, position 4 = thousands. In 38,697, the digit 8 is in position 4, so it's in the thousands place!

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