8.3 Scientific notation

# Introduction

When working with large numbers, we often express them with scientific notation.

This notation is where you have $a*10^b$, where a and b are variables (any number)

For example, we can express:

• $10=1*10^1$
• $100=1*10^2$
• $1,000=1*103^3$

Scientific notation is where you place a decimal place number after the first digit. Then, a small superscript is written above the 10 indicating how many points to the left the decimal place has moved.

For example, $12=1.2*10^1$

Another example, $123=1.23*10^2$

Another example, $1,230,000=1.23*10^6$