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?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution
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

If you use all of the units shown below and place them in the table, then what number do they make?

10,00010,00010,00010,00010101
UnitsTensHundredsThousandsBeforeConversionAfterConversionTens ofThousands

Write the values 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?

+

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?

+

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?

+

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?

+

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?

+

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!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Natural numbers up to a million questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations