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Express the following in standard decimal form:

[tex]\[ 1.2 \times 10^{-3} = \][/tex]

A. 0.0012

B. 0.012

C. 1.2

D. 1200


Sagot :

To solve the expression [tex]\( 1.2 \times 10^{-3} \)[/tex], we need to understand what [tex]\( 10^{-3} \)[/tex] means.

1. The expression [tex]\( 10^{-3} \)[/tex] represents [tex]\( \frac{1}{10^3} \)[/tex].
2. Calculating [tex]\( 10^3 \)[/tex], we get [tex]\( 10 \times 10 \times 10 = 1000 \)[/tex].
3. Therefore, [tex]\( 10^{-3} \)[/tex] is the same as [tex]\( \frac{1}{1000} \)[/tex].

Now we need to multiply 1.2 by this value:

4. Multiplying 1.2 by [tex]\( \frac{1}{1000} \)[/tex] (or dividing 1.2 by 1000):
[tex]\[ 1.2 \times 10^{-3} = 1.2 \times 0.001 = 0.0012 \][/tex]

So, the correct answer is [tex]\( 0.0012 \)[/tex].
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