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

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