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An overview of rational and irrational numbers, their characteristics, and examples. Rational numbers are those that can be expressed as fractions, while irrational numbers cannot. examples of both types of numbers and explains their significance on the number line.
What you will learn
Typology: Summaries
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All REAL numbers are
made up of
RATIONAL & IRRATIONAL
numbers…
Examples of Rational Numbers
Fractions
Terminating Decimals
(stop / end)
Repeating Decimals
(decimal goes on forever)
Whole Numbers
Perfect Squares
2
3
− 9
2
1
1
4
1 , 267
− 6 3
9 100 400
Irrational Numbers
All numbers that are not rational are considered irrational.
An irrational number can be written as a decimal, but not as
a fraction.
Irrational numbers can NOT
be written as a fraction!!
calculated Pi to over a quadrillion decimal places
and still there is no pattern. The first few digits look
like this:
3.1415926535897932384626433832795…
irrational number. People have also calculated e to
lots of decimal places without any pattern showing.
The first few digits look like this:
2.7182818284590452353602874713527…
The first few digits look like this:
1.61803398874989484820...
Imaginary Numbers: