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Q.

Divide 293 by 10,00,000 and express the result in standard form.


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a

2.93× 10 4  

b

2.93× 10 5  

c

2.93× 10 5  

d

2.93× 10 4   

answer is A.

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Detailed Solution

It is given to divide 293 by 10,00,000.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
in exponent form, 10,00,000
10,00,000= 10 6  
Dividing Question Image and apply 1 x m = x m   results in,
293 10 6 =293× 10 6  
The standard form of above expression is as follows  293 10 6 =293× 100 100 × 10 6    2.93×100× 10 6    2.93× 10 2 × 10 6  
Using law of exponent x m × x n = x m+n   2.93× 10 2+(6)    2.93× 10 26  
2.93× 10 4  
Thus, the final answer is 293 10 6 =2.93× 10 4  . Hence option (1) is correct.
 
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Divide 293 by 10,00,000 and express the result in standard form.