(2x10^5)/(4x10^2) In Scientific Notation

Jasonbradley

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Jun 16, 2024

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Simplifying (2 x 10^5) / (4 x 10^2) in Scientific Notation

This problem involves dividing two numbers expressed in scientific notation. Here's how to solve it:

Understanding Scientific Notation

Scientific notation is a way to express very large or very small numbers in a compact form. It consists of a number between 1 and 10 (the coefficient) multiplied by a power of 10.

Steps to Solve:

1. Divide the coefficients: 2 / 4 = 0.5
2. Divide the powers of 10: 10^5 / 10^2 = 10^(5-2) = 10^3

Combining the Results:

• The result is 0.5 x 10^3
• To express this in standard scientific notation, move the decimal point one place to the right and decrease the exponent by 1: 5 x 10^2

Therefore, (2 x 10^5) / (4 x 10^2) is equal to 5 x 10^2 in scientific notation.