Dividing Numbers in Scientific Notation
This article will guide you through the process of dividing (7 x 10^5) by (2 x 10^2) and express the answer in standard form.
Understanding Scientific Notation
Scientific notation is a way of representing very large or very small numbers using powers of 10. It follows the format: a x 10^b, where 'a' is a number between 1 and 10, and 'b' is an integer.
Performing the Division
- Divide the coefficients: 7 / 2 = 3.5
- Divide the powers of 10: 10^5 / 10^2 = 10^(5-2) = 10^3
Expressing the Answer in Standard Form
Now, combine the results from steps 1 and 2: 3.5 x 10^3
Therefore, (7 x 10^5) divided by (2 x 10^2) is 3.5 x 10^3 in standard form.