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31 votes
(10300000)2 X (0.00003)3What would this be in scientific notation?

User Trajce
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1 Answer

27 votes
27 votes

To transform numbers into scientific notation, we need to count the spaces from the decimal point, so 10300000 and 0.00003 can be written as:


\begin{gathered} 10300000=1.03*10^7 \\ 0.00003=3*10^(-5) \end{gathered}

Then, the initial expression can be written as:


(1.03*10^7)^2*(3*10^(-5))^3

So, using the properties of the exponents, we get:


\begin{gathered} (1.03*10^7)^2*(3*10^(-5))^3 \\ 1.03^2*10^(7\cdot2)*3^3*10^(-5\cdot3) \\ 1.0609*10^(14)*27*10^(-15) \\ 28.6443*10^(14-15) \\ 28.6443*10^(-1) \end{gathered}

Then, if we want to move the decimal one place to the left, we can write the number as 2.86443

User David Baron
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