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What is e?
What is the natural base e?
Summary
π , or pi, is an irrational number that we use in a lot of areas of math- Pi is actually a never-ending, never-repeating decimal, but we usually use 3.14 to approximate it
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≈ ' means 'approximately equal to' - 'e' is also an irrational number, so it also goes on and on forever without repeating
- We can approximate 'e' to 2.71828
- 'e' is used so often as a base in exponential expressions that we call it the 'natural base'

Notes
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We use the irrational number
π , or pi, so often that it gets a special name - There is another irrational number that we also use so much that we give it a special name -- we call it 'e'
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We use the irrational number
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- Just like pi, 'e' is a never-ending, never-repeating decimal
- But we usually approximate it to about 2.71828
- So 'e' is actually a number, NOT a variable
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- Since 'e' is a decimal that goes on and on and never repeats, it is an irrational number
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- We use 'e' so often as the base for exponential expressions that we call it the 'natural base'
- An exponential function with 'e' as its base is called a natural base exponential function
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- 'e' has a lot of useful applications to real world problems