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

CheemnCatelvew 2020-12-03 Answered
Express 2×104 in standard notation
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Tasneem Almond
Answered 2020-12-04 Author has 91 answers

Scientific notation is of the form a×10b. 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 2×104, we have b=−4. Since −4<0, we then need to move the decimal point of a=2 four places to the left. Moving the decimal place of a=2 four places to the left gives:
2×104=0.00024 places
Therefore 2×104=0.0002

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