Question

Order the values from smallest to largest:2.5 x 10^-39.6 x 10^22.4 x 10^-62.5 x 10^31.2 x 10^57.3 x 10^2

Answer 1

Recall that 10^n is 10 times 10 n times, also recall that:

`a^(-n)=\frac{1^{}}{a^n}\text{.}`

Therefore:

`\begin{gathered} 2.5*10^(-3)=0.0025, \\ 9.6*10^2=960, \\ 2.4*10^(-6)=0.0000024, \\ 2.5*10^3=2500, \\ 1.2*10^5=120000, \\ 7.3*10^2=730. \end{gathered}`

Answer:

`\begin{gathered} 2.4*10^(-6), \\ 2.5*10^(-3), \\ 7.3*10^2, \\ 9.6*10^2, \\ 2.5*10^3, \\ 1.2*10^5\text{.} \end{gathered}`