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 =

Respuesta :

Answer:

a=2, b=5

Step-by-step explanation:

Let

n -----> the denominator

we have

[tex]3.5*10^4=\frac{7*10^9}{n}[/tex]

Solve for n

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

Multiply by n both sides

[tex]3.5*10^4(n)=7*10^9[/tex]

Divide by 3.5*10^4 both sides

[tex]n=\frac{7*10^9}{3.5*10^4}=(\frac{7}{3.5})(\frac{10^9}{10^4})=2*10^5[/tex]

therefore

a=2, b=5

Answer: The first answer is 2.0 and the other answer is 5. Your welcome:) I'm right..