Question

9.6*10^2/3.2*10^5

please evaluate this expression and show answer in both scientific notation and in standard form.

Thank you so much for helping me.

Answer 1

Method 1:
Use calculator, and do not forget to surround the numerator and denominator by parentheses, i.e. type in:
(9.6*10^2)/(3.2*10^5)

Method 2: (easier way)
(9.6*10^2)
------------
(3.2*10^5)

Note that
9.6/3.2=3, and
10^2/10^5=10^(2-5)
=10^(-3)

so the answer is
3.0*10^(-3) in scientific notation
and in standard form, replace 10^(-3) by a shift of the decimal point 3 places to the <i>left</i>, which gives
0.003