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Q.

Express each of the following numbers in standard form $. 0.0005$

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a

5 \times 10^{- 4}

b

5 \times 30^{- 4}

c

5 \times 20^{- 4}

d

5 \times 25^{- 4}

answer is A.

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Detailed Solution

We are asked to find the standard form for 0.0005.
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.
Convert the given number in fractional form.

Rewrite 10000 as 10⁴ in denominator.

Apply law of exponent

and writing the number in standard form.

So, 0.0005 in standard form is

5 \times 10^{- 4}

.
Therefore, correct option is 1.

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