-%2B-(2.86-x-10-1-g)-in-scientific-notation.jpeg "(1.54 X 10-2 G) + (2.86 X 10-1 G) In Scientific Notation")
Scientific Notation: Simplifying (1.54 x 10-2 g) + (2.86 x 10-1 g)
When dealing with very large or very small numbers, scientific notation becomes a powerful tool to simplify calculations. In this article, we will explore how to add two numbers in scientific notation: (1.54 x 10-2 g) + (2.86 x 10-1 g).
Understanding Scientific Notation
Before we dive into the calculation, let's quickly review scientific notation. A number in scientific notation is written in the format:
a × 10^n
where 'a' is a number between 1 and 10, and 'n' is an integer.
Breaking Down the Problem
We are given two numbers in scientific notation:
- (1.54 x 10-2 g)
- (2.86 x 10-1 g)
To add these numbers, we need to follow the rules of scientific notation.
Converting to the Same Power of 10
First, we need to convert both numbers to have the same power of 10. Since the smallest power of 10 is -2, we can convert the second number to have the same power:
(2.86 x 10-1 g) = (28.6 x 10-2 g)
Now, both numbers have the same power of 10 (-2).
Adding the Numbers
Next, we can add the two numbers:
(1.54 x 10-2 g) + (28.6 x 10-2 g) = (30.14 x 10-2 g)
Simplifying the Result
Finally, we can simplify the result to get our final answer:
(30.14 x 10-2 g) = (3.014 x 10-1 g)
And that's it! We have successfully added (1.54 x 10-2 g) + (2.86 x 10-1 g) using scientific notation.
Conclusion
Scientific notation is a powerful tool for simplifying complex calculations involving very large or very small numbers. By following the rules of scientific notation, we can easily add (1.54 x 10-2 g) + (2.86 x 10-1 g) to get (3.014 x 10-1 g).
