Simplify(0.3 x 105) (div) (0.4 (times) 107), leaving you answer in the standard form.
-
A.
7.5 x 10-4 -
B.
7.5 x 10-3 -
C.
7.5 x 10-2 -
D.
7.5 x 10-1
Correct Answer: Option B
Explanation
(frac{0.3 times 10^5}{0.4 times 10^7} = frac{3 times 10^{-1} times 10^{5}}{4 times 10^{-1} times 10^7})
(frac{3 x 10^4}{4 x 10^4})
(frac{3}{4}) x 104-6 = 0.75 x 10-2
= 7.5 x 10-3