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What is the Face Value of a Digit?
Grade Level:
Class 6
AI/ML, Data Science, Physics, Economics, Cryptography, Computer Science, Engineering
Definition
What is it?
The face value of a digit is simply the digit itself, no matter where it is placed in a number. It's like the 'identity' of the digit, always staying the same.
Simple Example
Quick Example
Imagine you have a cricket score of 150 runs. The digit '5' in 150 has a face value of 5. It doesn't matter if it's in the tens place or hundreds place, its face value is always 5.
Worked Example
Step-by-Step
Let's find the face value of each digit in the number 7,382.
---Step 1: Look at the digit in the thousands place. It is 7.
---Step 2: The face value of 7 is 7.
---Step 3: Look at the digit in the hundreds place. It is 3.
---Step 4: The face value of 3 is 3.
---Step 5: Look at the digit in the tens place. It is 8.
---Step 6: The face value of 8 is 8.
---Step 7: Look at the digit in the ones place. It is 2.
---Step 8: The face value of 2 is 2.
Answer: The face values of the digits in 7,382 are 7, 3, 8, and 2 respectively.
Why It Matters
Understanding face value is crucial for building a strong foundation in numbers. It's the first step before learning about how a digit's position changes its worth, which is vital in fields like Data Science for handling large numbers or in Computer Science for understanding how computers store numerical data.
Common Mistakes
MISTAKE: Confusing face value with place value. Students often think the face value of 5 in 50 is 50. | CORRECTION: The face value is always just the digit itself. The face value of 5 in 50 is 5, not 50.
MISTAKE: Thinking face value changes based on position. For example, believing the face value of 2 in 200 is different from the face value of 2 in 20. | CORRECTION: The face value of a digit is constant. The face value of 2 is always 2, no matter where it is in a number.
MISTAKE: Forgetting that zero also has a face value. Students might skip zero. | CORRECTION: Zero is a digit too! The face value of 0 is 0.
Practice Questions
Try It Yourself
QUESTION: What is the face value of the digit 9 in the number 493? | ANSWER: 9
QUESTION: Find the face value of the digit 6 in the number 6,175. | ANSWER: 6
QUESTION: A mobile number has 10 digits. If the first digit is 7, the fifth digit is 2, and the last digit is 5, what are their respective face values? | ANSWER: 7, 2, 5
MCQ
Quick Quiz
What is the face value of the digit 4 in the number 8,421?
400
40
4
None of the above
The Correct Answer Is:
C
The face value of a digit is the digit itself. So, the face value of 4 is 4. Options A and B represent place values, not face values.
Real World Connection
In the Real World
When you look at a bus number like '27A' on a Delhi Transport bus, the '2' has a face value of 2, and the '7' has a face value of 7. Even though they are part of a route number, their individual identity as digits remains the same. This simple idea helps in identifying numbers correctly in everyday life, from reading prices at a local market to understanding scores in a cricket match.
Key Vocabulary
Key Terms
DIGIT: A single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) | NUMBER: A mathematical object used to count, measure, and label | PLACE VALUE: The value of a digit based on its position in a number | FACE VALUE: The actual value of a digit itself, regardless of its position
What's Next
What to Learn Next
Great job understanding face value! Now that you know what a digit 'is', the next step is to learn about 'Place Value'. This will show you how the position of a digit in a number changes its overall worth, which is super important for understanding bigger numbers.
