Question

Write the following quotient in scientific notation:

Answer 1

Explanation:

Let's start by simplifying our light terms.

`q = \frac{33 * 10 {}^(9) }{11 * 10 {}^(7) }`

33 is divisible by 11 so i can simplify up and down by 11.

`q = \frac{3 * 10 {}^(9) }{1 * 10 {}^(7) }`

Now i have 10^9 in the numerator and 10^7 in the denominator. I can remove 10^7 from up and down to get;

`q = \frac{3 * 10 {}^(9 - 7) }{1 * 10 {}^(7 - 7) } = \frac{3 * 10 {}^(2) }{1 * 10 {}^(0) } = \frac{3 * 10 {}^(2) }{1 * 1}`

`q = 3 * 10 {}^(2)`

And that is your scientific notation.