R
EVIEW
:
Natural Numbers
Numerical values that exist in nature ie: 1, 2, 3, 4, 5, …
Whole Numbers
Number that represent a whole ie: 0, 1, 2, 3, 4, 5, …
Integers
Whole numbers that can be positive or negative
Ie: –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5
Rational Number – Any number that can be written
as a fraction where both the numerator and
denominator are integers
½ , ¾ , 5/6, –¾, 4/4, 30/1
Note: natural numbers, whole numbers, and integers are
all rational numbers as well
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R
ATIONAL
VS
I
RRATIONAL
Remember: All rational numbers can be written as a
fraction
Other characteristics of rational numbers:
When written in decimal form R.N. will terminate OR
If they don’t terminate they will have a consistent pattern
Irrational – something that doesn’t make sense
Irrational numbers – can not be written as a fraction
with numerator and denominator as integers
When irrational numbers are in decimal form, they do not
terminate and they don’t have a consistent pattern
Ie: (pi has infinite number of decimal places),
1 decimal
place
3 decimal
places
6 decimal
places
Pattern of 2
repeating digits
Pattern of 6
repeating digits
Pattern of 16
repeating digits
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C
OMMON
R
ATIONAL
N
UMBERS
Since all R.N. can be written as a fraction, here are
some common R.N.
Numbers with only one decimal place:
Write the decimal place over 10
Numbers with repeating digits:
Write the repeating digit over 9
Numbers that end with quarters:
Write the value over 4
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D
RAWING
R
ATIONAL
N
UMBERS
ON
A
N
UMBER
LINE
The big number on the left indicates where to start on
the number line
The value of the denominator determines how many
increments that the distance between two whole
numbers should be cut into
The numerator determines which increment you want
The denominator is 8, so cut the
distance from 1 to 2 into 8 pieces
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E
X
: D
RAW
EACH
OF
THE
FOLLOWING
R
ATIONAL
N
UMBERS
ON
A
N
UMBER
LINE
:
This value is
between 0 and 1
This value is
between 3 and 4
This value is
between -2 and -3
Split the increment into 7 parts
Split the increment into 5 parts
Split the increment into 3 parts
Since the value is negative, they are
incremented from left to right
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E
X
: G
IVEN
EACH
PAIR
OF
RATIONAL
NUMBERS
,
INDICATE
WHICH
OF
THE
CHOICES
ARE
IN
BETWEEN
THEM
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H
OMEWORK
:
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/ 8
Menu
Slides
Notes
1. Math 9 section 3.1 What are Rational Numbers
2. Review:
3. Rational vs Irrational
4. Common Rational Numbers
5. Drawing Rational Numbers on a Number line
6. Ex: Draw each of the following Rational Numbers on a Number line:
7. Ex: Given each pair of rational numbers, indicate which of the choices are in between them
8. Homework:
M
ATH
9
SECTION
3.1 W
HAT
ARE
R
ATIONAL
N
UMBERS
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