What is the Difference Between Face Value and Place Value?

S1-SA1-0025

Grade Level:

Class 3

Maths, Computing

Definition

What is it?

Face value is simply the digit itself, no matter where it is in a number. Place value is the value of a digit based on its position in a number, like whether it's in the ones, tens, or hundreds place.

Simple Example

Quick Example

Imagine you have the number 75. The face value of '7' is just 7. But its place value is 70, because it's in the tens place. The face value of '5' is 5, and its place value is also 5, as it's in the ones place.

Worked Example

Step-by-Step

Let's find the face value and place value of each digit in the number 4,382.

1. For the digit '4':
Face Value: 4 (It's just the digit itself).
Place Value: 4,000 (It's in the thousands place).
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2. For the digit '3':
Face Value: 3 (It's just the digit itself).
Place Value: 300 (It's in the hundreds place).
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3. For the digit '8':
Face Value: 8 (It's just the digit itself).
Place Value: 80 (It's in the tens place).
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4. For the digit '2':
Face Value: 2 (It's just the digit itself).
Place Value: 2 (It's in the ones place).

Answer: In 4,382, the face values are 4, 3, 8, 2. The place values are 4,000, 300, 80, 2 respectively.

Why It Matters

Understanding face value and place value is super important for doing big calculations quickly and correctly. It helps in fields like accounting, where you deal with large sums of money, or even in computer programming, where numbers are stored and manipulated based on their values. Knowing this helps you build a strong foundation for advanced math and problem-solving.

Common Mistakes

MISTAKE: Thinking face value changes with position. | CORRECTION: Face value is always just the digit itself, regardless of its position.

MISTAKE: Confusing place value with face value for the ones digit. | CORRECTION: For the ones digit, face value and place value are the same. For any other digit, they are different.

MISTAKE: Forgetting to add zeros for place value. | CORRECTION: The place value of a digit is the digit multiplied by the value of its position (e.g., tens place means multiply by 10, hundreds by 100).

Practice Questions

Try It Yourself

QUESTION: What is the face value of '6' in 56,789? | ANSWER: 6

QUESTION: What is the place value of '9' in 1,934? | ANSWER: 900

QUESTION: In the number 7,205, find the difference between the place value of '7' and the face value of '2'. | ANSWER: Place value of '7' is 7,000. Face value of '2' is 2. Difference = 7,000 - 2 = 6,998.

MCQ

Quick Quiz

Which statement is true for the number 345?

The face value of 4 is 40.

The place value of 5 is 50.

The face value of 3 is 3.

The place value of 3 is 30.

The Correct Answer Is:

The face value of a digit is always the digit itself. So, for '3' in 345, its face value is 3. The place value of 4 is 40, the place value of 5 is 5, and the place value of 3 is 300.

Real World Connection

In the Real World

When you check your mobile phone bill, the total amount shown (e.g., Rs. 549) uses place value to represent the full cost. The '5' means 500 rupees, '4' means 40 rupees, and '9' means 9 rupees. Understanding this helps you confirm if the bill amount is correct, just like a shopkeeper quickly calculates change using these values.

Key Vocabulary

Key Terms

FACE VALUE: The digit itself | PLACE VALUE: Value based on digit's position | ONES PLACE: Position of a digit that represents single units | TENS PLACE: Position of a digit that represents groups of ten | HUNDREDS PLACE: Position of a digit that represents groups of one hundred

What's Next

What to Learn Next

Great job learning about face value and place value! Next, you can explore expanded form of numbers, which directly uses place value to break down a number. This will help you understand how numbers are built and make addition and subtraction of larger numbers much easier!