Find the Unit Value: Identifying 3 in 32,145

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

Place value is the position (like ten-thousands place), while unit value is what the digit is actually worth in that position. For digit 3 in 32,145: place value = ten-thousands, unit value = $ 30,000 $.

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

Start from the right and go left: ones, tens, hundreds, thousands, ten-thousands. Each place is 10 times bigger than the one before it!

Q: Why isn't the answer just 3?

The digit 3 by itself is just the digit. But its unit value depends on where it sits in the number. Since it's in the ten-thousands place, it represents $ 30,000 $!

Q: What if there were two 3's in the number?

Each 3 would have a different unit value based on its position. For example, in 32,345, the first 3 = $ 30,000 $ and the second 3 = $ 300 $.

Q: How can I check my answer?

Break down the whole number by place values: $ 30,000 + 2,000 + 100 + 40 + 5 = 32,145 $. If your unit value for 3 helps rebuild the original number, you're right!

Place Value with Ten-Thousands Position

What is the unit value of the digit 3 in the number 32,145?

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Step-by-step written solution

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Understand the problem

What is the unit value of the digit 3 in the number 32,145?

Step-by-step solution

The solution to this problem involves determining the place value of the digit '3' in the number 32,145. Each digit in a number contributes a value depending on its place. The place values are, from right to left, units (ones), tens, hundreds, thousands, ten-thousands, etc.

In 32,145, starting from the rightmost digit:

5 is in the units place.
4 is in the tens place.
1 is in the hundreds place.
2 is in the thousands place.
3 is in the ten-thousands place.

The digit '3' is positioned in the ten-thousands place. This means it contributes $30,000$ to the total value of the number. This is calculated as $3 \times 10,000$ .

The correct choice from the given options, which matches our calculated unit value for the digit '3', is:

Choice 2: $30,000$

Therefore, the unit value of the digit '3' in the number 32,145 is $30,000$ .

Final Answer

$30,000$

Key Points to Remember

Essential concepts to master this topic

Rule: Each position has a specific value power of ten
Technique: Count positions right to left: 3 is in position 5 = ten-thousands
Check: Multiply digit by place value: 3 × 10,000 = 30,000 ✓

Common Mistakes

Avoid these frequent errors

Confusing place value with digit value
Don't just say the digit 3 equals 3! The digit's position determines its actual value. In 32,145, the 3 is worth 30,000 because it's in the ten-thousands place. Always multiply the digit by its place value to find the unit value.

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

What's the difference between place value and unit value?

Place value is the position (like ten-thousands place), while unit value is what the digit is actually worth in that position. For digit 3 in 32,145: place value = ten-thousands, unit value = $30,000$ .

How do I remember the order of place values?

Start from the right and go left: ones, tens, hundreds, thousands, ten-thousands. Each place is 10 times bigger than the one before it!

Why isn't the answer just 3?

The digit 3 by itself is just the digit. But its unit value depends on where it sits in the number. Since it's in the ten-thousands place, it represents $30,000$ !

What if there were two 3's in the number?

Each 3 would have a different unit value based on its position. For example, in 32,345, the first 3 = $30,000$ and the second 3 = $300$ .

How can I check my answer?

Break down the whole number by place values: $30,000 + 2,000 + 100 + 40 + 5 = 32,145$ . If your unit value for 3 helps rebuild the original number, you're right!

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