Question

Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Include the quotient as part of your final answer.

Answer 1

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

So

$q=\frac{x}{y}$ -------> equation 1

in this problem

$x=4.13*10^{-8} \\ y= 0.04*10^{5}$

Substitute the values in the equation 1

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}$

Simplify

$q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}$

therefore

the answer is

The quotient is equal to $1.0325*10^{-11}$