-%2B-(5.35-x-10%5E6)-in-scientific-notation.jpeg "(1.2 X 10^5) + (5.35 X 10^6) In Scientific Notation")
Adding Numbers in Scientific Notation: A Step-by-Step Guide
Scientific notation is a convenient way to express very large or very small numbers in a compact form. When working with numbers in scientific notation, it's essential to know how to add them correctly. In this article, we'll explore how to add two numbers in scientific notation: (1.2 x 10^5) and (5.35 x 10^6).
Understanding Scientific Notation
Before we dive into the addition process, let's quickly review what scientific notation is. Scientific notation is a way to express a number as a product of a number between 1 and 10, and a power of 10. The general form of a number in scientific notation is:
a × 10^n
where a is a number between 1 and 10, and n is an integer.
Adding (1.2 x 10^5) and (5.35 x 10^6)
To add these two numbers, we need to follow these steps:
Step 1: Convert both numbers to have the same exponent
The first number, (1.2 x 10^5), already has an exponent of 5. The second number, (5.35 x 10^6), has an exponent of 6, which is one more than the exponent of the first number. To make the exponents the same, we can convert the second number to have an exponent of 5:
5.35 x 10^6 = 53.5 x 10^5
Step 2: Add the coefficients (numbers before the multiplication sign)
Now, we can add the coefficients (numbers before the multiplication sign):
1.2 + 53.5 = 54.7
Step 3: Write the result in scientific notation
The final result is:
54.7 x 10^5
So, the result of adding (1.2 x 10^5) and (5.35 x 10^6) is 54.7 x 10^5 in scientific notation.
Conclusion
In conclusion, adding numbers in scientific notation requires converting both numbers to have the same exponent, adding the coefficients, and writing the result in scientific notation. By following these steps, you can easily add numbers in scientific notation, like (1.2 x 10^5) and (5.35 x 10^6).
