# Express 2×10^{−4} in standard notation

Question
Algebra foundations
Express $$\displaystyle{2}×{10}^{{−{4}}}$$ in standard notation

2020-12-04
Scientific notation is of the form a\times 10^{b}. The value of bb tells you how many places and in what direction the decimal point of aa needs to be moved to convert the number to standard notation. If b<0b<0, then you need to move the decimal point to the left. If b>0b>0, you need to move the decimal point to the right.
For $$\displaystyle{2}×{10}^{{−{4}}}$$, we have b=−4. Since −4
$$\displaystyle{2}\times{10}^{{−{4}}}={0.0002}-{4}{p}{l}{a}{c}{e}{s}$$
Therefore $$\displaystyle{2}\times{10}^{{−{4}}}={0.0002}$$

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