if (0.0015 x 10^m) / (0.03 x 10^k) = (5 x 10^7), then m - k = ?
a. 9
b. 8
c. 7
d. 6
e. 5
Let k=0.
(0.0015 * 10^m) / (0.03* 10^
0) = (5 * 10^7)
Convert the decimals to integers:
(
15 * 10^(-4) * 10^m / (
3 * 10^(-2) *
1) = (5 * 10^7)
Divide the integers and subtract the exponents:
5 * 10^(-2) * 10^m =
5 * 10^7
Cancel the 5's and divide each side by 10^(-2):
10^
m = 10^
9
m = 9.
Thus:
m-k = 9-0 = 9.
The correct answer is
A.
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