-%2F-(3x10%5E2)-in-standard-form.jpeg "(7x10^5) / (3x10^2) In Standard Form")
Simplifying Expressions in Standard Form: (7x10^5) / (3x10^2)
When working with very large or very small numbers, it's often more convenient to express them in standard form, also known as scientific notation. In this notation, a number is written as a product of a number between 1 and 10, and a power of 10.
The Problem
Given the expression (7x10^5) / (3x10^2), our goal is to simplify it and express the result in standard form.
Step 1: Rewrite the Expression
To simplify the expression, we'll start by rewriting it as a single fraction:
(7x10^5) / (3x10^2) = 7/3 × 10^(5-2)
Step 2: Simplify the Fraction
Next, we'll simplify the fraction by dividing the numerator by the denominator:
7/3 = 2 1/3
Step 3: Simplify the Power of 10
Now, let's focus on the power of 10:
10^(5-2) = 10^3
Step 4: Combine the Results
Finally, we'll combine the simplified fraction and the power of 10:
(7x10^5) / (3x10^2) = 2 1/3 × 10^3
The Answer in Standard Form
Our final answer in standard form is:
2.33 × 10^3
This is the simplified expression in standard form, where 2.33 is the number between 1 and 10, and 10^3 is the power of 10.
