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-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Medina
1
Numbers can either be rational or irrational
Rational Numbers
Irrational Numbers
Numbers that make sense Numbers that don’t make sense
The formal definition
The formal definition
for rational number is
for irrational number is
a number that can be
a number that can NOT
written as a simple
be written as a simple
ratio (fraction).
ratio (fraction).
Does not need to be converted
into a decimal but if you choose
to convert to decimal form, the
decimal will terminate (stops)
or has a pattern (repeating
decimal) then the number is
rational. *Repeating decimals are
denoted with the line above the repeating
part of decimal Ex: 𝟎. 𝟑, 𝟎. 𝟐𝟓, 𝟎. 𝟓𝟏𝟗
Can only be written as non-perfect
square root or in decimal form. The
decimal is a non-terminating(keeps
going and going) and the decimal
does not have a pattern then the
number is irrational. *Non-terminating
decimals without a pattern are denoted with three
dots behind the number Ex: 𝟎. 𝟏𝟐𝟓𝟕𝟖 …, 𝟑. 𝟏𝟒𝟏𝟓𝟗𝟐 …
Medina
2
https://www.youtube.com/watch?v=QIoVPtbEUjw
Medina
3
1
−8 2, 4.257 … , 0,
2 3. 8
{7,
8, 9,
𝜋}
7 −8,
9 𝜋
0 2,
List these given numbers in each number set
Rational
Irrational
Medina
4