x(4x10%5E2)-in-standard-form.jpeg "(2x10^5)x(4x10^2) In Standard Form")
Evaluating the Expression (2x10^5)x(4x10^2) in Standard Form
In this article, we will evaluate the expression (2x10^5)x(4x10^2) and express it in standard form.
Step 1: Multiply the Coefficients
To start, we need to multiply the coefficients of the two expressions. The coefficients are the numbers before the x10 terms.
2 × 4 = 8
So, the coefficient of the resulting expression is 8.
Step 2: Multiply the Powers of 10
Next, we need to multiply the powers of 10. When multiplying powers of 10, we add their exponents.
10^5 × 10^2 = 10^(5+2) = 10^7
Step 3: Combine the Results
Now, we combine the results from Steps 1 and 2.
8 × 10^7
Standard Form
The standard form of a number is a way of writing it in a compact and easy-to-read format. In standard form, the number is written as a product of a coefficient and a power of 10.
The standard form of our result is:
8 × 10^7
Therefore, the expression (2x10^5)x(4x10^2) in standard form is 8 × 10^7.
