# Place Value and Face Value, Meaning and Worksheet for Students

We will learn here meaning of** Place Value and Face Value **and its definition, **international place value system** with example** **and question related to **place value and face value.**

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__Place Value__

**Place value** of a digit in a number is represented by its position in a number. Position of any number may be **ones, tens, hundreds, thousands, ten thousands** **and so** **on** and the **place value** of the number is defined on the basis of these position.

For example; **Place value** of 4 in number 458 is 4 x 100 = 400 (Because 4 is at hundreds place) and **place value** of 5 in 458 is 5 x 10 = 50 because 5 is at tens place.

__Place Valuechart__

Below is Place Value Chart Which is very helpful in understaing place value system

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__Place Value of 0 (Zero)__

**Place Value of 0** is always remains 0. Let see this with example; **place value** of 0 in 507 is 0 x 10 = 0. Here 0 is at tens place but the product of any number with 0 always comes 0 thus the **place value of 0 always remains 0**.

### Place Value Examples 1:

**In 8467**

Place Value of 7 : 7 x 1 = 7 (Because 7 is at ones place)

Place Value of 6 : 6 x 10 = 60 (Because 6 is at tens place)

Place Value of 4 : 4 x 100 = 400 (Because 4 is at hundreds place)

Place Value of 8 : 8 x 1000 = 8000 (Because 8 is at thousands place)

### Place Value Examples 2:

Question: Find the place value of 8 in 6874.

Answer: Place Value of 8 : 8 x 100 = 800

Question: What is the place value of 0 in 8076

Answer: **Place value** of 0 = 0 x 100 = 0 (0 is at hundred place but product always comes 0 thus place value of 0 always remains 0)

## Place Value Exercise

Q. 1: What is place value of 7 in 874 ?

Q. 2: Find the place value of 9 in 985 .

Q. 3: Place Value of 4 in 8694 ?

Q. 4: What is place value of 5 in 598 ?

Q. 5: Find the place value of 3 in 4532.

## Face Value

Face Value is acutual value of the digit in the number. For example; Face Value of 4 in 3546 is 4, and face value of 4 in 3456 is also 4.

### Face Value Examples:

**In 4689**

Face Value of 4 is 4.

Face Value of 6 is 6.

Face Value of 8 is 8.

Face Value of 9 is 9.

## Place Value and Face Value Examples

**In 56893**

Place Value of 5 is = 50000 and Face Value is = 5

Place Value of 6 is = 6000 and Face Value is = 6

Place Value of 8 is = 800 and Face Value is = 8

Place Value of 9 is = 90 and Face Value is = 9

Place Value of 3 is = 3 and Face Value is = 3

**Place Value, place value in maths, international place value system, ones tens hundreds**

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