Which expression is equal to 1/8000 written in scientific notation?
A.8.0 x 10to the 3rd
B.1.25 x 10–4
C.125 x 10–5
D.1.25 x 10 the the 4th
I think it is A..?
1/8 = .125 = 1.25x10^-1
but you are dividing by 8000, so the answer is 10^3 as big: 1.25x10^-4. (B)
To determine which expression is equal to 1/8000 in scientific notation, we need to rewrite 1/8000 in the form of a number between 1 and 10 multiplied by a power of 10.
1/8000 can be rewritten as 1 * 10^(-1) * 1/8 * 10^(-3).
Simplifying further, we get 1/8 * 10^(-4), which is equivalent to 0.125 * 10^(-4).
In scientific notation, we can express 0.125 as 1.25 times 10 to the power of -1.
So, the correct expression is 1.25 x 10^(-1) x 10^(-4), which can be further simplified to 1.25 x 10^(-5).
Therefore, the correct answer is option C: 125 x 10^(-5).
Note: Option A, 8.0 x 10^3, is incorrect as it represents a number greater than 1, not a fraction.