The number is an essential element in our daily life. Here students will learn about the large number in math in this learning concept. They will learn about large numbers with different digits.
In this learning concept, the students can
Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.
Download the large numbers worksheet for class 5 and check the solutions for the concept of large numbers provided in PDF format.
Different Types of Large Numbers
We have learned:
6-Digit NumbersBiggest 5-digit number = 99999. If we add 1 to 99999, we get ‘one hundred thousand’. We read it as ‘One lakh’.
Biggest 6-digit number = 999999. If we add 1 to 999999, we get 1000000. We read it as ‘Ten lakh’.
Biggest 7-digit number = 9999999. If we add 1 to 9999999, we get ‘Hundred Lakh’. We read it as ‘One Crore’.
Representation of Large Numbers
We generally use the following two numeration systems to read and write numbers.
1.Indian and International Systems of Numeration
Use of commas:
By using these commas, we can easily interpret large numbers.
Example 1:493574637 → 49,35,74,637 80956234 → 8,09,56,234
Example 2:Question 1: Write the number 6,08,77,681 in words.
Answer:
The given number can be written in words as ‘Six crore eight lakh seventy-seven thousand six hundred and eighty-one’.
Question 2: Write ‘Five lakh two thousand four hundred and nine’ using numerals.
Answer:
So, we write this number as ‘5,02,409’.
2. International System of Numeration
Use of commas:
By using this commas’, we can easily interpret the numbers.
324574810 → 324,574,810 70262625 → 70,262,625
Read and Write Large Numbers in the International System of Numeration:
In the following examples by using commas learn to read and write the numbers.
Example1. 58,634,521 (Write this number in words.)
Put this number in place value table of International system of numeration.
So, we write this number as ‘Fifty-eight million six hundred thirty-four thousand five hundred and twenty-one’.
2. Six million seventy-four thousand four hundred and three (Write this number in figures.)
So, we write this number as 6,074,403
Comparison Between the Indian System and International System of Numeration:
Place Value and Expanded Form of Number
Learn place value with an example.
Put this number in the place value table.
{Trick: Count the digits after the number for which place value is to be found.
For example: 93,546
There are 4 digits after the number 9. So, write 4 zeroes after the number 9 and we get the place value of the number 9.
Place value of 9 = 90000}
Expanded form:
By writing place values of the digits in the form of addition, we get expanded form of the number.
Write the expanded form of the 67,09,402
We can write expanded form as:
67,09,402 = 6000000 + 700000 + 0 + 9000 + 400 + 0 + 2
Example:Write the number by using expanded form.
700000 + 20000 + 8000 + 3
700000 + 20000 + 8000 + 3 = 7,28,003