x(3x10%5E2)-in-standard-form.jpeg "(7x10^5)x(3x10^2) In Standard Form")
Multiplying Numbers in Standard Form: (7x10^5)x(3x10^2)
When dealing with large numbers, it's often helpful to express them in standard form, which is a shorthand way of writing very large or very small numbers using exponents. In this case, we need to multiply two numbers in standard form: (7x10^5) and (3x10^2).
What is Standard Form?
Standard form, also known as scientific notation, is a way of expressing numbers as a product of a number between 1 and 10, and a power of 10. For example, the number 123,000 can be written in standard form as 1.23x10^5.
Multiplying Numbers in Standard Form
To multiply two numbers in standard form, we need to follow a few simple rules:
- Multiply the coefficients: Multiply the numbers in front of the 10^x terms (in this case, 7 and 3).
- Add the exponents: Add the exponents (powers of 10) together.
Let's apply these rules to our example:
(7x10^5)x(3x10^2)
Step 1: Multiply the coefficients
7 x 3 = 21
Step 2: Add the exponents
5 + 2 = 7
So, the result of multiplying (7x10^5) and (3x10^2) is:
21x10^7
This is the result in standard form.
Converted to a Regular Number
If we want to convert this back to a regular number, we can do so by calculating the value of 21x10^7:
21x10^7 = 21,000,000
And there you have it! The result of multiplying (7x10^5) and (3x10^2) is 21,000,000.
