(7x10^5)/(3x10^2) In Standard Form

Jasonbradley

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Jun 16, 2024

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Simplifying Scientific Notation: (7x10^5)/(3x10^2)

This article will explain how to simplify the expression (7x10^5)/(3x10^2) and write the answer in standard form.

Understanding Scientific Notation

Scientific notation is a way of expressing very large or very small numbers in a concise and manageable form. It follows the format a x 10^b, where:

• a is a number between 1 and 10 (1 ≤ a < 10)
• b is an integer representing the power of 10.

Simplifying the Expression

1. Separate the coefficients and exponents: (7x10^5)/(3x10^2) = (7/3) x (10^5/10^2)

2. Divide the coefficients: 7/3 ≈ 2.33

3. Simplify the exponents: 10^5/10^2 = 10^(5-2) = 10^3

4. Combine the results: (7/3) x (10^5/10^2) ≈ 2.33 x 10^3

Standard Form

The expression (7x10^5)/(3x10^2) simplified in standard form is 2.33 x 10^3.

This represents a number that is 2.33 times larger than 1000, which is the same as 2330.