Question

Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3. 5.00E+04. 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

The required value of a is 2, and b is 5.

Given that

Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4 +04.

What is scientific notation?

Scientific notation is a method of expressing numbers in terms of a decimal number between 1 and 10, but not 10 itself multiplied by a power of 10.

The given equation is;

$\rm = a \times 10^b$

Here,

$\rm 3.5 \times 10^4=\dfrac{7 \times 10^9}{n}$

Solving the equation for the value of n.

$\rm 3.5 \times 10^4=\dfrac{7 \times 10^9}{n}\\\\n = \dfrac{7 \times 10^9}{3.5 \times 10^4}\\\\n = 2 \times 10^5$

On comparing with the given equation

The value of a= 2 and b = 5

Hence, the required value of a is 2, and b is 5.

To know more about Scientific notation click the link given below.

https://brainly.com/question/4964086