Find the Place Value: What's 3 Worth in 44,430?

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

The digit is just the number symbol (like 3), but its value depends on where it sits in the number. The same digit 3 could be worth 3, 30, 300, or 3,000 depending on its position!

Q: How do I remember the place value positions?

Start from the right and work left: ones, tens, hundreds, thousands, ten thousands. Each position is 10 times bigger than the one to its right. Practice with place value charts!

Q: Why isn't the answer just 3?

Because the 3 isn't in the ones place! It's in the tens place, which means it represents 3 groups of ten, not just 3 individual units. That's why it's worth 30.

Q: What if there are zeros in the number?

Zeros are placeholders that keep other digits in their correct positions. In 44,430, the zero in the ones place means there are no individual units, but it helps keep the 3 in the tens place.

Q: Does this work for bigger numbers too?

Absolutely! The same rule applies to numbers with millions, billions, and beyond. Just identify the digit's position and multiply by the corresponding place value.

Place Value with Five-Digit Numbers

What is the value of the number 3 in the number 44,430?

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Step-by-step written solution

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Understand the problem

What is the value of the number 3 in the number 44,430?

Step-by-step solution

To determine the value of the digit '3' in the number 44,430, we follow these steps:

First, identify the position of the digit '3'. In the number 44,430, the '3' is in the tens place.
The tens place means that the value of the digit is calculated as $3 \times 10$ .
This gives the value of the digit '3' as $30$ .

We can verify this by considering the expanded form of the number:

The number 44,430 can be expanded as:

40,000 (forty thousand)
4,000 (four thousand)
400 (four hundred)
30 (thirty)
0 (zero)

In this expansion, it is clear that the digit '3' contributes 30 to the total sum, as it is located in the tens position.

Therefore, the value of the number '3' in the number 44,430 is $30$ .

Final Answer

$30$

Key Points to Remember

Essential concepts to master this topic

Position Rule: Each digit's value depends on its specific position in the number
Technique: Multiply digit by place value: 3 in tens place = $3 \times 10 = 30$
Check: Expand the whole number: 44,430 = 40,000 + 4,000 + 400 + 30 + 0 ✓

Common Mistakes

Avoid these frequent errors

Confusing place value with digit value
Don't just say the digit 3 equals 3 = wrong answer! The digit itself is 3, but its place value determines its worth in the number. Always identify the position first, then multiply the digit by its place 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 a digit and its value?

The digit is just the number symbol (like 3), but its value depends on where it sits in the number. The same digit 3 could be worth 3, 30, 300, or 3,000 depending on its position!

How do I remember the place value positions?

Start from the right and work left: ones, tens, hundreds, thousands, ten thousands. Each position is 10 times bigger than the one to its right. Practice with place value charts!

Why isn't the answer just 3?

Because the 3 isn't in the ones place! It's in the tens place, which means it represents 3 groups of ten, not just 3 individual units. That's why it's worth 30.

What if there are zeros in the number?

Zeros are placeholders that keep other digits in their correct positions. In 44,430, the zero in the ones place means there are no individual units, but it helps keep the 3 in the tens place.

How can I check if I found the right place?

Count positions from right to left, starting with 1 for ones place. In 44,430: position 1 = 0, position 2 = 3 (tens), position 3 = 4 (hundreds), and so on.

Does this work for bigger numbers too?

Absolutely! The same rule applies to numbers with millions, billions, and beyond. Just identify the digit's position and multiply by the corresponding place value.

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