Scientific notation is used to write very large or very small numbers using less digits. Discover examples of scientific notation used in real life and acquire the comprehension of complex concepts such as polynomials and exponents.
See how scientists use this notation to describe astronomical distances, such as the distance between planets, or microscopic distances, such as the length of a blood cell.
(i) Move the decimal point so that there is only one non zero digit to its left.
(ii) Count the number of digits between the old and new decimal point. This gives n, the power of 10.
(iii) If the decimal is shifted to the left, the exponent n is positive. If the decimal is shifted to the right, the exponent n is negative.
Problem 1 :
Represent the following information in scientific notation:
The world population is nearly 7000,000,000.
Solution :
= 7000,000,000
To represent the given number in scientific notation, we have to move the decimal point 9 digits towards left side. So, the power of 10 will be positive.
= 7 x 10^{9}
Problem 2 :
Represent the following information in scientific notation:
One light year means the distance
9460528400000000 km.
Solution :
We have to move the decimal point 15 digits towards left side. So, the power of 10 will be positive.
= 9.4605284 x 10^{15 }km
Problem 3 :
Represent the following information in scientific notation:
Mass of an electron is
0.000 000 000 000 000 000 000 000 000 00091093822 kg.
Solution :
We have to move the decimal point 31 digits towards right side. So, the power of 10 will be negative.
= 9.1093822 x 10^{-31 }kg
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