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Transcript
-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