-%2B-(6x10%5E5)-in-scientific-notation.jpeg "(2x10^5) + (6x10^5) In Scientific Notation")
Adding Numbers in Scientific Notation: (2 x 10^5) + (6 x 10^5)
Let's explore how to add numbers expressed in scientific notation.
Understanding Scientific Notation
Scientific notation is a convenient way to express very large or very small numbers. It follows the form:
a x 10^b
Where:
- a is a number between 1 and 10 (but not including 10)
- b is an integer representing the power of 10.
Adding Numbers in Scientific Notation
To add numbers in scientific notation, they must have the same exponent (same power of 10).
Step 1: Check the Exponents
In our case, both numbers have the same exponent (10^5).
Step 2: Add the Coefficients
Add the coefficients (the numbers in front of the power of 10):
2 + 6 = 8
Step 3: Express the Result in Scientific Notation
Combine the result with the common exponent:
8 x 10^5
Therefore, (2 x 10^5) + (6 x 10^5) = 8 x 10^5