This document serves as an informative and comprehensive guide to understanding and effectively using scientific notation, also known as standard form. It provides practical examples, real-world applications, and valuable insights into its significance in mathematics and science. Scientific notatio...
1. Introduction to Scientific Notation:
-Scientific notation, also known as standard form, is a mathematical representation used to express
very large or very small numbers in a more concise and manageable form.
2. Format of Scientific Notation:
-Scientific notation is a special way of writing extremely big or really small numbers.
In this format, we have two parts:
-The first part is a number (it can have a decimal), which is called the “mantissa.”
-The second part is just a whole number, called the “exponent.”
-We write it as “a x 10^n,” where “a” is the number with the decimal (the mantissa), and “n” is the
whole number (the exponent).
-The rule is that “a” should be between 1 and 10, and “n” tells us how many places to move the
decimal point to make it correct.
* ^ = to the power of (10^n = 10n)
3. Advantages of Scientific Notation:
-Conciseness: Scientific notation allows us to express extremely large or small numbers using fewer
digits.
-Clarity: It makes it easier to compare and work with numbers of vastly different magnitudes.
-Precision: It helps avoid rounding errors when working with very large or small values.
4. Converting Numbers to Scientific Notation:
a. Large Numbers:
-Start with the original number, move the decimal point to the left to create a number between 1
and 10, and count the number of places moved. This count becomes the exponent.
Example 1: Convert 5,000,000 to Scientific Notation
1. Start with the original number: 5,000,000
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller joshuadamianroyle. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $10.49. You're not tied to anything after your purchase.
