Place Value Analysis: Find the Value of 2 in 32,145

Place Value Understanding with Multi-digit Numbers

What is the value of the number 2 in the number 32,145?

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Step-by-step written solution

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1

Understand the problem

What is the value of the number 2 in the number 32,145?

2

Step-by-step solution

To determine the value of the number '2' in the number '32,145', we note the following:

The number '32,145' yields the following places:
- Ten-thousands place for the digit '3'
- Thousands place for the digit '2'
- Hundreds place for the digit '1'
- Tens place for the digit '4'
- Units place for the digit '5'

The digit '2' is in the thousands place, hence its place value means that it accounts for
2×1,000=2,000 2 \times 1,000 = 2,000 .

Therefore, the value of '2' in '32,145' is 2,000 2,000 .

The correct answer choice is:

2,000 2,000

3

Final Answer

2,000 2,000

Key Points to Remember

Essential concepts to master this topic
  • Position Rule: Each digit's value depends on its place in the number
  • Technique: Identify position first: 2 in 32,145 is thousands place
  • Check: Multiply digit by place value: 2 × 1,000 = 2,000 ✓

Common Mistakes

Avoid these frequent errors
  • Confusing digit value with place value
    Don't say the digit 2 has value 2 in any number = ignores position completely! The digit itself is just 2, but its VALUE depends entirely on where it sits. Always identify the place first, then multiply: digit × place value.

Practice Quiz

Test your knowledge with interactive questions

What number do the units shown below represent?

10,0001000111010100011

UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

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?

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A digit is just the symbol (like 2), but its value depends on position. The digit 2 in 32,145 has value 2,000 because it's in the thousands place!

How do I remember the place value positions?

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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.

Why isn't the answer just 2?

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Because position matters! The digit 2 by itself is worth 2, but when it's in the thousands place, it represents 2 groups of 1,000, which equals 2,000.

What if the digit was in a different position?

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Great question! If 2 were in the tens place, its value would be 2×10=20 2 \times 10 = 20 . If in hundreds place, it would be 2×100=200 2 \times 100 = 200 .

How can I double-check my answer?

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Break down the whole number: 32,145 = 30,000 + 2,000 + 100 + 40 + 5. You should see your answer (2,000) as one of the parts!

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