Place values

key notes:

What is Place Value?

• Place Value tells us how much a digit is worth depending on its place in a number.
• Every digit in a number has a value based on its position.

🧮 Place Value Chart (Indian System)

Place	Ten Thousands	Thousands	Hundreds	Tens	Ones
Example No.	4	3	5	2	7

👉 Number = 43,527

✅ Place Value of:

• 4 = 40,000 (Ten Thousands)
• 3 = 3,000 (Thousands)
• 5 = 500 (Hundreds)
• 2 = 20 (Tens)
• 7 = 7 (Ones)

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🧠 Face Value vs. Place Value

Term	Meaning	Example (in 43,527)
Face Value	The digit itself	Face value of 3 = 3
Place Value	Value based on the digit’s position	Place value of 3 = 3,000

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🔁 Expanded Form

• Breaking a number into the sum of its place values.
• Example:
  43,527 = 40,000 + 3,000 + 500 + 20 + 7

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🧩 Standard Form

• Writing a number in usual numeric form.
• Example:
  Forty-three thousand five hundred twenty-seven = 43,527

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🔄 Word Form

• Writing numbers using words.
  Example:
  43,527 = Forty-three thousand five hundred twenty-seven

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✅ Practice Questions

1. Write the place value of 8 in 58,439
   👉 Place value = 8,000
2. Write 76,204 in expanded form
   👉 70,000 + 6,000 + 200 + 0 + 4
3. What is the face value and place value of 6 in 16,432?
   👉 Face Value = 6, Place Value = 6,000

🎯 Key Points to Remember

• Place value starts from the right (ones).
• Each place is 10 times bigger than the one to its right.
• Place value helps in reading, writing, comparing, and arranging numbers.

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Learn with an example

Let’s practice!