x(3x10%5E2)-in-standard-form.jpeg "(7x10^5)x(3x10^2) In Standard Form")
Expressing (7 x 10^5) x (3 x 10^2) in Standard Form
This problem involves multiplying two numbers expressed in scientific notation. Here's how to solve it:
Understanding Scientific Notation
Scientific notation is a way to represent very large or very small numbers concisely. It takes the form of a number between 1 and 10, multiplied by a power of 10. For example, 7 x 10^5 represents the number 700,000.
Multiplying Numbers in Scientific Notation
- Multiply the coefficients: 7 x 3 = 21
- Add the exponents: 10^5 x 10^2 = 10^(5+2) = 10^7
Result
The product of (7 x 10^5) and (3 x 10^2) is 21 x 10^7.
Converting to Standard Form
To express 21 x 10^7 in standard form, move the decimal point 7 places to the right:
21 x 10^7 = 210,000,000
Therefore, (7 x 10^5) x (3 x 10^2) expressed in standard form is 210,000,000.