Standard Form of Exponents and Power


 
 
Concept Explanation
 

Standard Form of Exponents and Power

The procedure to write very small numbers in standard form is as follows

Step I: Obtain the number and see whether the number is between 1 and 10 or it is less than 1.

Step II: If the number is between 1 and 10, then write it as the product of the number itself and (10)^{0}.

Step III: If the number is less than one, then move the decimal part to the right so that there is just one digit on the left side of the decimal point. Write the given number as the product of the number so obtained and  (10)^{-n}, where n is the number of places the decimal point has been moved to the right. The number so obtained is the standard form of the given number.

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Sample Questions
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Question : 1

large begin{pmatrix}frac{3}{4} end{pmatrix}^5divbegin{pmatrix}frac{5}{3} end{pmatrix}^5is equal to  _________________

Right Option : A
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Explanation
Question : 2

Pluto is 5913000000 km away from the sun. Express this distance in standard form.

Right Option : D
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Explanation
Question : 3

Express 7.54times 10^{-4}  in usual form.

Right Option : B
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Explanation
 
 
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