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.
To evaluate the expression (9.6 * 10^2) / (3.2 * 10^5), we can simplify it step by step:
Step 1: Divide the numbers:
9.6 / 3.2 = 3
Step 2: Divide the exponents:
10^2 / 10^5 = 10^(2-5) = 10^(-3)
Step 3: Multiply the results from steps 1 and 2:
3 * 10^(-3) = 0.003
Therefore, the answer in standard form is 0.003, and in scientific notation is 3 * 10^(-3).
I hope this helps! Let me know if you have any more questions.
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 left, which gives
0.003