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=(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=(4.13*10^(-8))/(0.04*10^(5))`

Simplify

`q=(4.13*10^(-8))/(0.04*10^(5))=(4.13)/(0.04)*10^(-8)*10^(-5)=(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)`