Question

Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4. If the numerator was 7.0 × 109, what was the denominator? (7.0 × 109) n = 3.5E4 The denominator is a × 10b, where: a = b =

Answer 1

a = 2.0

b = 5

Explanation:

Answer 2

a=2, b=5

Explanation:

Let

n -----> the denominator

we have

`3.5*10^4=(7*10^9)/(n)`

Solve for n

That means -----> isolate the variable n

Multiply by n both sides

`3.5*10^4(n)=7*10^9`

Divide by 3.5*10^4 both sides

`n=(7*10^9)/(3.5*10^4)=((7)/(3.5))((10^9)/(10^4))=2*10^5`

therefore

a=2, b=5