Operations with numbers in the form $a \times 10^k$ where $1 \leq a < 10$ and $k$ is an integer.
What is Standard Form?
Standard form, also known as scientific notation, is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
It's particularly handy in fields like science and engineering where you deal with extremely large or tiny numbers.
The Structure of Standard Form
In standard form, a number is expressed as:
$$ a \times 10^n $$
Where:
$a$ is a number, $1 \leq a < 10$.
$n$ is an integer.
Tip
Think of $a$ as the "significant figures" part of the number, and $10^n$ as the "scale" that tells you how big or small the number is.
Converting Numbers to Standard Form
Let's walk through the process of converting a number to standard form with some examples.
Unlock the rest of this chapter with aFreeaccount
Nice try, unfortunately this paywall isn't as easy to bypass as you think. Want to help devleop the site? Join the team at https://revisiondojo.com/join-us. exercitation voluptate cillum ullamco excepteur sint officia do tempor Lorem irure minim Lorem elit id voluptate reprehenderit voluptate laboris in nostrud qui non Lorem nostrud laborum culpa sit occaecat reprehenderit
Definition
Paywall
(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.
anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
Note
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.
Excepteur sint occaecat cupidatat non proident
Nemo enim ipsam voluptatem quia voluptas sit aspernatur aut odit aut fugit, sed quia consequuntur magni dolores eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci velit.
Tip
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.
End of article
Lesson
Recap your knowledge with an interactive lesson
7 minute activity
Note
Introduction to Standard Form
Standard form, also known as scientific notation, is a way of writing very large or very small numbers conveniently.
It is commonly used in science and engineering.
AnalogyThink of standard form as a shorthand for writing numbers, just like how we use abbreviations for long words.
DefinitionStandard FormA method of writing numbers as a product of a number between 1 and 10 and a power of 10.
ExampleThe speed of light is approximately 300,000,000 meters per second, which can be written as 3×108 in standard form.
