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Place Value and Face Value – Definition, Examples, Quiz, Game & Worksheet

Q: 3. What is the difference between place value and face value?

Answer: The key difference is: Place value depends on the position of the digit. Face value is the actual digit itself. For example, in 345: Place value of 4 = 40 Face value of 4 = 4

FACE VALUE AND PLACE VALUE OF A DIGIT IN A NUMERAL

Definition of Face Value and Place Value:

Face Value: The face value of a digit in a numeral is the actual value of a digit at whatever place it may be.

Face value = the digit itself.

Place Value: The place value of a digit in a numeral depends on the position it occupies in a numeral.

Place value = value of digit based on its position

Worksheet

Let us consider the numeral 675:

Arrange the digits of 675 in the place value chart as shown below:

H	T	O
6	7	5

From the place value chart, we have:

The place value of 6 = 6 hundreds

= 600;

The face value of 6 = 6,

The place value of 7 = 7 tens

= 70;

The face value of 7 = 7,

The place value of 5 = 5 ones

= 5;

The face value of 5 = 5.

Note:

The place value of 0 is always zero, irrespective of its place in the numeral. For example, the place value of 0 in 609 and 805 is 0 in each case.

Let us look at the digits 1 and 2.

The digit 1 represents one object
The digit 2 represents two objects

We know that digit 2 is greater than the digit 1 or 2 > 1.

With the digits 1 and 2 we can make the numbers 12 and 21.

Face value is the value of a digit in a number.

So, the digit 1 has the same face value in both the numbers `12 and 21.

Similarly, the digit 2 has the same face value in the numbers 12 and 21.

Therefore, the face value of a digit always remains the same.

Place & Face Value Game

🎯 Place Value & Face Value Game

Face Value of a Number Video

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We write 12 and 21 by using ones and tens as:

In the number 12, the value of 2 (i.e., 2 ones) is less than the value of 1 (i.e., 1 ten)

In the number 21, the value of 2 (i.e., 2 tens) is greater than the value of 1 (i.e., 1 one)

In both the numbers 12 and 21 there value is different this is because of its place value.

Place value of a digit is the value of a digit because of its place in a number.

Similarly, the digit 3 and 7 can be used to make the number 37 and 73.

Place Value of a Number Video

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Let us look at the example to understand the difference of face value and place value.

Face value and place value of the digits are coloured in red.

Number

Face value Place value

1 1 ten or 10

8 8 ones or 8

3 3 tens or 30

6 6 ones or 6

7 7 tens or 70

1 1 one or 1

5 5 tens or 50

2 2 ones or 2

4 4 tens or 40

3 3 ones or 3

6 6 tens or 60

8 8 ones or 8

8 8 tens or 80

1 1 one or 1

Face Value and Place Value of the Digits

Learn the easiest way to understand the basic concept on place value and face value in the second grade.

Suppose we write a number in figures 435 in words we write four hundred thirty five.

Thus,

435 means 4 hundreds 3 tens and 5 ones

= 400 + 30 + 5

We write the expanded form of the numbers as

435 = 400 + 30 + 5

Hence, in the number 435, the place value of 4, 3 and 5 are 400, 30 and 5 respectively.

In place value and face value let us first understand the concept of place value of the concerned digits by following the examples.

(i) 350 means: 3 hundreds 5 tens and 0 ones

= 300 + 50 + 0

350 = 300 + 50 + 0

In the number 350, the place value of 3, 5 and 0 are 300, 50 and 0 respectively.

(ii) 602 means: 6 hundreds 0 tens and 2 ones

= 600 + 00 + 2

602 = 600 + 00 + 2

In the number 602, the place value of 6, 0 and 2 are 600, 00 and 2 respectively.

(iii) 278 means: 2 hundreds 7 tens and 8 ones

= 200 + 70 + 8

278 = 200 + 70 + 8

In the number 278, the place value of 2, 7 and 8 are 200, 70 and 8 respectively.

(iv) 777 means: 7 hundreds 7 tens and 7 ones

= 700 + 70 + 7

777 = 700 + 70 + 7

In the number 777, the place value of 7, 7 and 7 are 700, 70 and 7 respectively.

(v) 63 means: 0 hundreds 6 tens and 3 ones

= 000 + 60 + 3

63 = 000 + 60 + 3

In the number 63, the place value of 0, 6 and 3 are 000, 60 and 3 respectively.

Therefore, the place value of a digit in a number is the value of the place which it has in the number.

In the number 549, the place value of 5 is 500, of 4 is 40 and 9 is 9 as 5 occupies the place of hundreds, 4 occupies the place of tens and 9 occupies the place of ones or unit in the given number 549.

We know the digit in a number occupy the place of ones, tens, hundreds, thousands, etc. from extreme right to left and have the value of that place.

The original value of a digit is called its face value.

In the number 385;

the place value of 3 is 300 and its face value is 3,

the place value of 8 is 80 and its face value is 8,

the place value of 5 is 5 and its face value is 5.

Therefore, in any number its important to know the place value and face value of a concerned digit.

Solved Examples:

1. Consider the number 2498:

• The face value of 2 is 2.

• The face value of 4 is 4.

• The face value of 9 is 9.

• The face value of 8 is 8.

■ The place value of 2 is 2000 (2 thousands i.e. 2 x 1000)

■ The place value of 4 is 400 (4 hundreds i.e. 4 x 100)

■ The place value of 9 is 90 (9 tens i.e. 9 x 10)

■ The place value of 8 is 8 (8 ones i.e. 8 x 1)

Note: The place value of 0 is always 0. wherever it maybe.

Educational table explaining the face value and place value of each digit in 6904, showing 6 as 6000, 9 as 900, 0 as 0, and 4 as 4.

Place Value and Face Value of a Number Video

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Practice Quiz on Place Value and Face Value

📝 Practice Quiz

Score: 0 / 10

1. What is place value in mathematics?

Answer:

Place value refers to the value of a digit based on its position in a number.

For example: In 452, the digit 5 is in the tens place, so its place value is 50.

2. What is face value of a digit?

Answer:

The face value of a digit is simply the digit itself, regardless of its position in the number.

For example: In 789, the face value of 8 is 8.

3. What is the difference between place value and face value?

Answer:

The key difference is:

Place value depends on the position of the digit.
Face value is the actual digit itself.

For example, in 345:

Place value of 4 = 40
Face value of 4 = 4

4. How do you find the place value of a digit?

Answer:

To find the place value:

Identify the position of the digit (ones, tens, hundreds, etc.).
Multiply the digit by its place value.

Example: In 6,372
The place value of 3 = 3 × 100 = 300

5. Does face value ever change?

Answer:

No, the face value of a digit never changes. It remains the same no matter where the digit appears in a number.

6. Can two digits have the same face value but different place values?

Answer:

Yes. The same digit can appear in different positions and have different place values.

Example: In 505

First 5 → place value = 500
Second 5 → place value = 5
But both have face value = 5

7. Why is place value important?

Answer:

Place value helps us:

Understand large numbers
Perform arithmetic operations
Read and write numbers correctly

8. What are the place value positions in a number?

Answer:

Common place values include:

Ones
Tens
Hundreds
Thousands
Ten-thousands and beyond

Each step increases by a factor of 10.

11. What is the place value of zero in a number?

Answer:

Zero has no value by itself, but it acts as a placeholder to show the correct position of other digits.

Example: In 102, the 0 ensures the 1 is in the hundreds place.

12. How can students easily remember place value?

Answer:

A simple way is to remember the pattern:
Ones → Tens → Hundreds → Thousands
Each step is 10 times the previous one.

Worksheet on Place Value and Face Value

Questions and Answers on Place Value and Face Value:

1. Fill in the blanks. One has been done for you.

(i) 1 ten = 10 ones

(ii) 2 tens = __________

(iii) 3 tens = __________

(iv) 4 tens = __________

(v) 5 tens = __________

(vi) 6 tens = __________

(vii) 7 tens = __________

(viii) 8 tens = __________

(ix) 9 tens = __________

Place Value and Face Value Practice Worksheet

Printable Worksheet PDF

Word Problem on Face Value Video

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2. Write the place value of all the digits in the following numbers.

	Number	Face Value	Place Value

3. Write the place value of the coloured digits. One has been done for you.

(i)	725	2 tens or 20
(ii)	425	_______________
(iii)	806	_______________
(iv)	219	_______________
(v)	423	_______________
(vi)	990	_______________
(vii)	341	_______________
(viii)	889	_______________