Place Value Concepts and Examples for Grade 2

Place value is one of the most fundamental concepts of Mathematics covered in grade 2. Although students find it tricky to understand this concept, it becomes quite easy with a little practice. Let’s know about place value in detail.

While writing numbers, it is important to know the position or place of each digit of the number. The place value is nothing but it tells the position or value of each digit in a number. In short, ‘The Place’ represents ‘What Kind’ whereas the Value represents “How many” of that kind is shown. For example, in the number 457, the digit 5 represents there are 5 (How many) and it is in tenth place. So, tens represent (What Kind). Read on to know more about place values.

Learn Place Value With Example

Here is an example of place values to help you understand the concept in a better way:

In the number 746,

Starting From The Right,

• 6 is in one's position. It means 6 ones or (6 1 = 6 ).

• 4 is in the tenth position. It means 4 tens or forty (4 10 = 40).

• 7 is in the hundredth position. It means 7 hundreds (7 100 = 700)

(Seven Hundred and Forty Six)

What is a Place Value Chart?

A place value chart is a table that helps us to find the value of each digit in a number based on its position. To accurately identify the positional values of a number, write the digits first in the place value chart then write the number in its standard form.

Remember, we use 10 digits to represent any number. The 10 digits are:

Introducing Different Types of Place Value Charts

There are two types of place value charts. These are:

• Indian Place Value Chart

• International Place Value Chart

Let’s briefly discuss both types of place value charts.

An Indian Place Value Chart

In the Indian place value chart, starting from the right:

• The first period is Ones, which includes three values namely ones, tens, and hundreds.

• The second period is thousands which includes two values namely thousands and ten thousand.

• The third period is Lakhs which includes two values namely lakhs and ten lakhs.

• The fourth period is Crores which includes two values namely crore, and ten crores.

Look at the table below to understand it better:

Note: In the above Indian Place Value, you can see as we move from Right To Left, each position is 10 times bigger.

• Tens are 10 times bigger than Ones.

• Hundreds are ten times bigger than Tens, and so on.

• Similarly, if we move from Left to Right, each position is 10 times smaller.

• Crores is 10 times less than Ten Crores.

• Ten Lakhs is 10 times less than 1 Crore, and so on.

How are Numbers Separated by Commas in Indian Place Values Chart?

According to the Indian Place Value System, we use commas after every period.

For example, starting from the right,

• We put the first comma after the hundreds place, i.e., after One’s Period.

• The next comma we put after two places from the first comma, i.e., after Thousands period, and then after two digits, and so on. `

Example

The number 513657922 according to the Indian Place Value System using commas can be written as: 51, 36,57,922

International Place Value Chart

In the International place value chart, starting from the right,

• The first period is Ones, which includes three values namely ones, tens, and hundreds.

• The second period is thousands which includes three place values namely thousands, ten thousands, and hundred thousand.

• The third period is Millions which includes three values namely Million, Ten Millions, and Hundred Millions, and so on.

Look at the table below to understand it better:

Note: Similarly to the Indian Place Value Chart, here also, you can see as we move from Right To Left, each position is 10 times bigger.

• Tens are 10 times bigger than Ones.

• Hundreds are ten times bigger than Tens, and so on.

Similarly, if we move from Left to Right, each position is 10 times smaller.

• Ten Million is 10 times less than Hundred Millions.

• One Million is 10 times less than Ten Million, and so on.

How are Numbers Separated by Commas in International Place Values Chart?

Similar to the Indian Place Value System, here also, we use commas after every period.

For example, starting from the right, the numbers in the International Place Value system are separated by a comma after every three digits.

Example:

The number 962657385 according to the International Place Value System using commas can be written as: 962, 657, 385

Let us understand place value with an example:

Place Value Examples With Solutions

Example 1:

Write the number 652156897 in the Indian Place Value System. Also, write the place value of each digit and put commas wherever required.

Solution:

First, we are placing each digit of the number 652156897 in the Indian Place Value table given below.

Now, we will write the place value of each digit of a number 652156897.

Starting from the right, In 652156897

• The place of 7 is 7 × 1 = 7 as 7 is at the one’s or unit’s place.

• The place of 9 is 9 × 10 = 90 as 9 is at the ten’s place.

• The place of 8 is 8 × 100 = 800 as 8 is at the hundred’s place.

• The place of 6 is 6 × 1000 = 6000 as 6 is at the thousand’s place.

• The place of 5 is 5 × 10,000 = 50,000 as 5 is at the ten thousand’s place.

• The place of 1 is 1 × 1,00,000 = 1,00,000 as 1 is at the lakhs’s place.

• The place of 2 is 2 × 10,00,000 = 20,00,000 as 2 is at the ten lakh’s place.

• The place of 5 is 5 × 1,00,00,000 = 5, 00,00,000 as 5 is at the crore’s place.

• The place of 6 is 6 × 10,00,00,000 = 60,00,00,000 as 6 is at the ten crore’s place.

Therefore, using commas, 652156897 can be written as 65, 21, 56, 897. This number can be written in words as Sixty Five Crores Twenty One Lakhs Five Six Thousand Eight Hundred And Ninety-Seven.

Example 2:

Write the number 273498165 in the International Place Value System. Also, write the place value of each digit and put commas wherever required.

Solution:

First, we are placing each digit of the number 273498165 in the International Place Value table given below.

Now, we will write the place value of each digit of a number 273498165.

Starting from the right, In 273498165

• The place of 5 is 5 × 1 = 5 as 5 is at the one’s or unit’s place.

• The place of 6 is 6 × 10 = 60 as 6 is at the ten’s place.

• The place of 1 is 1 × 100 = 100 as 1 is at the hundred’s place.

• The place of 8 is 8× 1000 = 8000 as 8 is at the thousand’s place.

• The place of 9 is 9 × 10,000 = 90,000 as 9 is at the ten thousand’s place.

• The place of 4 is 1 × 100,000 = 400,000 as 1 is at the Hundred Thousands place.

• The place of 3 is 3 × 1,000,000 = 3,000,000 as 3 is at the Million’’s place.

• The place of 7 is 7 × 10, 000,000 = 70, 000,000 as 7 is at the ten millions place.

• The place of 2 is 2 × 100, 000,000 = 200,000,000 as 2 is at the hundred millions place.

Therefore, using commas, 273498165 can be written as 273, 498,165. This can be read as two hundred and seventy-three million four hundred and ninety-eight thousand one hundred and sixty-five.

Conclusion

In short, a place value of a digit in a number is denoted according to its position in the number. The Indian and International place value charts help us to find the value and compare the place value of digits in number according to the Indian and International numeral systems respectively.