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Q.

Express each of the following numbers in standard form.0.000125


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a

1.25×40-4

b

1.25×40-4

c

1.25×20-4

d

1.25×10-4  

answer is D.

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Detailed Solution

We are asked to find the standard form for 0.000125.
Very large and very small numbers can be expressed in standard form. Standard form is also called scientific notation form It is written in the form of c × 10n where c > 1, c < 10, and n is an integer.
Rewrite 125 as 1.25 × 100 and simplify.
0.000125= 1.25 100 100000 ⇒0.000125= 1.25 10000  
Rewrite 10000 as 104 in denominator.
Question ImageUse law of exponent, a −n = 1 a n   and writing the number in standard form,
0.000125=1.25×10-4 So, 0.000125  in standard form is 1.25×10-4.
Hence, the correct option is 4.
 
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