# Place value of numbers explained with examples

Learn and know what is place value of numbers in maths. This is the important concept for all the students studying in grades 3, 4,5 and 6.

Do you know why we need to learn place value of numbers? The main use of learning place value is for writing any number in the expanded form easily. First, we will start learning the definition of place value, place value chart. Then we will learn how to find place value of a digit in the given any number.

## What is the exact definition of “place value” in the maths?

The definition of place value is given as “the place value of any digit is digit times the value of the place of that digit in the given number”.

Note:

Generally, the place value of any digit depends on the place i.e. where it is lying in the given number.

### Place value chart as follows

If we want to write place value of any particular digit in the given number then we should know place value chart. So remember this place value chart without any confusion.

 Ten Crores crores Ten Lakhs Lakhs Ten Thousands Thousands Hundreds Tens ones 100000000 or 108 10000000 or 107 1000000 or 106 100000 or 105 10000 or 104 1000 or 103 100 or 102 10 or 101 1 or 100

#### How to find place value a digit in the numbers?

For finding the place value of a digit in any given number, we have a simple formula.

Place value of any digit = the product of face value of the digit and the value of that digit in the place value chart.

Examples:

In the number 9243, the place value of 2 is 2 x 100 = 200 (2 is in hundreds place so we have to multiply 2 and 100).

In 36985, the place value of 6 is? The place value of 6 is 6 x 1000 = 6000 (6 is in thousands place so we have to multiply 6 and 1000).

The place value of 3 in 532 is 3 x 10 = 30 (3 is in tens place so we have to multiply 3 and 10).