English

Crores

Advertisements

Topics

  • Introducing crores
  • A standard form of large numbers

Introducing Crores:

The largest seven-digit number is 99,99,999. On adding the number 1 to it, we get the smallest eight-digit number, 1,00,00,000. This figure is interpreted as "one crore." The new place created to write this number is called the ‘crores’ place.

Reading and Writing Eight-Digit Numbers:
(1) 8,45,12,706: Eight crore forty-five lakh twelve thousand seven hundred and six
(2) 5,61,63,589: Five crore sixty-one lakh sixty-three thousand five hundred and eighty-nine.
Formation of large numbers:
9 + 1 = 10
99 + 1 = 100
999 + 1 = 1,000
9,999 + 1 = 10,000
99,999 + 1 = 1,00,000
9,99,999 + 1 = 10,00,000
99,99,999 + 1 = 1,00,00,000
Reading and Writing Large Numbers

Number TCr Cr TLakh Lakh TTh Th H T O Number Name
65,32,75,829 6 5 3 2 7 5 8 2 9 Sixty-five crore thirty
two lakh seventy-five
thousand eight hundred
twenty-nine

 

A standard form of large numbers

Expressing Large Numbers in the Standard Form:
Any number can be expressed as a decimal number between 1.0 and 10.0, including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form.

  • Step 1: First of all, count the number of digits from the left, leaving only the first digit.
  • Step 2: To write it in exponent or standard form, write down the first digit.
  • Step 3: If there are more digits in the number, then put a decimal after the first digit and then write down the other digits until the zero comes.
  • Step 4: Now place a multiplication sign and then write down the counted digits in the first step as the exponent to the base number 10.

         

150,000,000,000 = 1.5 × 1011

While converting a huge number like 150,000,000,000 into standard form, we need to move the decimal place towards the left, and when we do so, the exponent will be positive.  Thus,
59 = 5.9 × 10 = 5.9 × 101
590 = 5.9 × 100 = 5.9 × 102
5900 = 5.9 × 1000 = 5.9 × 103
5900 = 5.9 × 10000 = 5.9 × 104 and so on.
Thus,
5,985 = 5.985 × 1,000 = 5.985 × 103 is the standard form of 5,985.
Note, 5,985 can also be expressed as 59.85 × 100 or 59.85 × 102. But these are not the standard forms of 5,985. Similarly,
5,985 = 0.5985 × 10,000 = 0.5985 × 104 is also not the standard form of 5,985.

Examples:
The distance of the Sun from the centre of our galaxy, i.e., 300,000,000,000,000,000,000 m, can be written as 3.0 × 100,000,000,000,000,000,000 = 3.0 × 1020m

Mass of the Earth = 5,976,000,000,000,000,000,000,000 kg = 5.976 × 1024 kg.

Example

Express the following number in the standard form: 5985.3

5985.3 = 5.9853 × 1000 = 5.9853 × 103.

Example

Express the following number in the standard form: 65,950

65,950 = 6.595 × 10,000 = 6.595 × 104.

Example

Express the following number in the standard form: 3,430,000

3,430,000 = 3.43 × 1,000,000 = 3.43 × 106.

Example

Express the following number in the standard form: 70,040,000,000

70,040,000,000 = 7.004 × 10,000,000,000 = 7.004 × 1010.

If you would like to contribute notes or other learning material, please submit them using the button below.

Video Tutorials

We have provided more than 1 series of video tutorials for some topics to help you get a better understanding of the topic.

Series 1


Series 2


Series 3


Shaalaa.com | Number & Units- Part 1 (CBSE 6th STD)

Shaalaa.com


Next video


Shaalaa.com


Number & Units- Part 1 (CBSE 6th STD) [00:10:47]
S
Advertisements
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×