Jasonbradley
Home

(6x10^2)/(3x10^-5) In Standard Form

2 min read Jun 16, 2024
(6x10^2)/(3x10^-5) In Standard Form

Simplifying and Expressing (6 x 10^2) / (3 x 10^-5) in Standard Form

This problem involves dividing two numbers written in scientific notation. Let's break down the steps:

1. Separate the coefficients and the powers of 10:

We have (6 x 10^2) / (3 x 10^-5) which can be rewritten as:

(6/3) x (10^2 / 10^-5)

2. Simplify the coefficients and exponents:

  • 6/3 = 2
  • 10^2 / 10^-5 = 10^(2 - (-5)) = 10^7

3. Combine the results:

Therefore, (6 x 10^2) / (3 x 10^-5) simplifies to 2 x 10^7.

Standard Form:

The standard form of a number is written as a single digit (other than 0) followed by a decimal point and the remaining digits, multiplied by a power of 10. In this case, 2 x 10^7 is already in standard form.

Final answer: The result of (6 x 10^2) / (3 x 10^-5) in standard form is 2 x 10^7.

Featured Posts