Place Value Chart

In place value chart, the digits are grouped in the threes in a big number. The number is read from left to right as ………. billion ………. million ……….. thousands ……….. ones.

The place value chart of the International System is given below:

place value chart, international place value chart

100,000 = 100 thousand

1,000,000 = 1 million

10,000,000 = 10 millions

100,000,000 = 100 millions

Whole numbers can be represented on the place-value chart. 

The numbers 702845 and 360400295 are represented on the place-value chart. 

Representing Place Value Chart

We can expand these numbers as:

702845 = 7 × 100000 + 2 × 1000 + 8 × 100 + 4 × 10 + 5 × 1

360400295 = 3 × 100000000 + 6 × 10000000 + 4 × 100000 + 2 × 100 + 9 × 10 + 5 × 1

In 702845:

Place value of 7 is 7 × 100000 = 700000 and the place is hundred thousand.

Place value of 2 is 2 × 1000 = 2000 and the place is thousands.

Place value of 8 is 8 × 100 = 800 and the place is hundreds.

Place value of 4 is 4 × 10 = 40 and the place is tens.

Place value of 5 is 5 × 1 = 5 and the place is ones.


In 360400295:

Place value of 3 is 3 × 100000000 = 300000000 and the place is hundred million.

Place value of 6 is 6 × 10000000 = 60000000 and the place is ten million.

Place value of 4 is 4 × 100000 = 400000 and the place is hundred thousand.

Place value of 2 is 2 × 100 = 200 and the place is hundred.

Place value of 9 is 9 × 10 = 90 and the place is tens.

Place value of 5 is 5 × 1 = 5 and the place is ones.

Note:

The place value of digit 0 at any place is 0.

Place Value Chart

Let’s read the numbers by observing the place value chart; 

218705 – The number is read as 218 thousands 705. 

It is written as 218,705 (using comma). 


42156 – The number is read as 42 thousands 156. 

It is written as 42,156 (using comma). 


25374821 – The number is read as 25 million 374 thousands 821. 

It is written as 25,374,821 (using comma).


Indian Place-Value Chart

We know that in the Indian place-value chart, we move from right to left. Each place-value represents 10 times the place-value to its immediate right. The following place-value chart shows nine places. Starting from the right the nine places are grouped into four periods namely ones, thousands, lakhs and crores. Each period is separated by a comma.

Indian Place-Value Chart

To read a large number we say, the name for the number followed by the name of the period from left to right. To write a large number from word form to the standard form we substitute digits corresponding to the number for each period from left to right. We use commas in place of periods names.

When a period contains zero, we do not name that period in the word form.


Solved Examples on Indian Place-Value Chart:

1. Insert commas and express the following numbers in figures.

Seventy-four crore, three lakhs, forty-one thousand six hundred four.

Solution:

Starting from left we enter the digits from crores, lakhs, thousands and ones in the following place-value chart.

Digits in the Places-value Chart

Thus, the above number is read as 33,03,41,504


2. Write the number 6,51,90,949,in words.

Solution:

We enter the digits in the places-value chart starting from right to left.

Places-value Chart Starting from Right to Left

The number is written as six crore, fifty-one lakh, ninety thousand, nine hundred forty-nine.


Note:

A place that has zero in the standard form of a number is not represented in its word form.

Related Concept 





4th Grade Math Activities

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