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While reading the newspaper, Ria read that the population of India is more than 100 crores and that of Delhi is about 2 crore 50 lakh.
Ria wondered how much will a crore be?
In order to understand what One Crore is, we need to understand what One Lakh is:
The number 100000 is one hundred thousand or 1 lakh.
It is a 6digit number including 5 zeros.
Number 100000 is the smallest 6 digit number.
Have a look at the smallest 6,4,3,2 & 1 digit numbers below.
We learnt about One Lakh! Come on! Let’s learn about 100 Lakh or One Crore now!
Wooohoooo! You and Ria have mastered the concepts of Crore now!
Do you know?
The moon is approximately 384400 km away from the Earth. It is a huge number as well!In the image Earth and Moon look very near but it in reality it isn't so.
Which is the greatest 8 digit number and how can we get the smallest 9 digit number from it?
Which is the greatest 8 digit number and how can we get the smallest 9 digit number from it?
Place value in Maths describes the position or place of a digit in a number. Each digit has a place in a number.
Place Value of number 7231468
Place Value Chart Indian system of Numeration
While reading a numeral, all the digits in the same period are read together and the name of the period (except the ones) is read together.
Thus, the above number is read as ‘seventyfive crore eighty lakh seventytwo thousand six hundred eight’.
Edurev Tips:
We should not write the word ‘and’ here as per the common practice.
We do not use the words indicating the periods in plural form. Thus, we write seventyfive crore and not seventyfive crores.
The population of Japan in the year 2018 was about 12,71,85,332.
Example 1: Write the numeral for the following by separating the periods.
(a) 603274087
(b) 37007690
Starting from the right, first make a group of 3 digits, then groups of 2 digits.
Put commas between different groups.
Thus, we write
Example 2: Write the number names for each of the following numerals.
(a) 5 78 22 506
(b) 7 00 05 624
(c) 82,10,00,050
(d) 60,00,00,066
First, we arrange the digits of the given numbers in the place value chart as shown below and then write their number names.
Comparing Large Numbers
(a) Unequal number of digits: the number having more digits is greater than the number having fewer digits.
(b) Equal number of digits: start from the left and compare the digits until they differ.
Example 1: Which is greater: 8,93,10,009 or 11,00,73,640?
Lining up the numbers by place values, we have
11,00,73,640 has 9 digits whereas 8,93,10,009 has 8 digits and 9 > 8.
So, 11,00,73,640 > 8,93,10,009.
Example 2: Compare 8,31,46,205 and 8,31,57,610.
Line up the numbers by place values and compare the digits from the leftmost place until they differ.
The digits differ at the ten thousands place.
∵ 5 > 4, ∴ 8,31,57,610 > 8,31,46,205.
Smallest number from digits 4,1,0,2,8 is 10248
The smallest number that can be formed with the digits 4,1,0,2,8 is 10248
Case 1: Form smallest/ greatest number when repetition of digits is not allowed
Example 1: Write the greatest 6digit number using the digits 3, 2, 9, 5, 6, and 8 only once.
For writing the greatest 6digit number, we place the greatest digit at the leftmost place and the other digits in descending order.
So, the greatest 6digit number is 986532.
Case 2: Form smallest/ greatest number when repetition of digits is allowed.
Example 1: Form the greatest and the smallest 8digit numbers using each of the digits 2, 8, 0, and 1 twice.
The greatest 8digit number = 88221100.
The smallest 8digit number = 10012288.
Instead of lakhs, crores, etc. as periods, we use millions, billions, etc.
Writing number 6,849,240 in International System of Writing Numbers
Did You Know?
Example 1: Write in numerals.
(a) 4 million
(b) 11 million
(a) 4 million = 4 000 000 Or 4,000,000
(b) 11 million = 11 000 000 Or 11,000,000
Example 2: Using the International system of numeration, write the numeral for each of the following.
(a) Seventyfour million three hundred forty thousand two hundred fiftysix.
(b) Sixtyeight million two hundred thousand three hundred twentyfour.
(c) Five hundred nine million seven hundred seventysix thousand two hundred thirty.
Writing in the place value chart, we have:
So, the numerals are:(a) 74 340 256
(b) 68 200 324
(c) 509 776 230
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