Last modified on September 6th, 2022

chapter outline

 

Place Value

Place value is the value of a digit in a number based on its place or position. These positions start from the ones place (units place). Its order starting from the extreme right to the left is ones/units (1s), tens (10s), hundreds (100s), thousands (1,000s), ten thousands (10,000s), and so on.

For example, in the number 92,735 the place value of:

  • 5 is Ones
  • 3 is Tens
  • 7 is Hundreds
  • 2 is Thousands
  • 9 is Ten thousands .

The diagram below elustrates the above example in more detail.

Place Value of Numbers

The same digit can have different value in a number according to its position. For instance, 4 in 524 represents the ones place, whereas, in 948, it represents the tens place.

A universal chart is used to verify that the digits in a number are aligned in their correct places as per their positional values accurately. In order to make the process less tedious, larger numbers are divided into periods such as ones, tens, hundreds, etc., that are separated by commas.

Place Value Chart

The chart below help us in finding and comparing the place value of the digits in numbers till millions according to the international numeral system.

Place Value Chart

Given is a blank printable version of the above place value chart for your use.

Blank Printable Place Value Chart

Let us solve an example to understand the above concept better.

Write the place value of 4 and 7 in 76,429.

Solution:

The place value of 4 is at the hundreds place. So its place value is 400
The place value of 7 is at the ten thousands place. So its place value is 70,000

Write the place value of 5 and 3 in 51,361,248.

Solution:

The place value of 4 is at the ten millions place. So its place value is 50,000,000
The place value of 3 is at the hundred thousands place. So its place value is 300,000

Sometimes, a number have both whole numbers and fractional parts. Such a number is a decimal number. A dot divides a decimal number into whole numbers and the fractional part. This dot is the decimal point. The decimal point help us identify the decimal place values and also the place values of the whole numbers.

Now let us learn how the decimal point help us identify the place values for both the whole numbers part and the decimal part.

Decimal Place Value

Decimal place value is the value of a digit in a decimal number based on its position. The digit can be in the whole number part such or the fractional part. Like the whole number place values like ones, tens, hundreds, decimal place values are tenths (1/10s), hundredths (1/100s) or thousandths (1/1000s), so on.

Let us solve an example to understand the above concept better.

What is the place value of the underlined digit- 84.1563?

Solution:

The place value of 5 is at the hundredths place. So its place value is 5 × 1/100 = 0.05
The place value of 3 is at the thousandths place. So its place value is 3 × 10,000 = 0.003

Till now, we have learnt that every digit in a number, represent different positions, which is its place value. The same number also has a face value, which is the value of the digit itself. So, in simple words face value signifies the worth of the digit in a number.

For example, in the number 4659, the face value of 6 is 6, but its place value is hundreds.

Last modified on September 6th, 2022

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