Download Rational Numbers

Relationships Between Sets of
Rational Numbers
Review comparison symbols
>
Greater Than
<
Less Than
Not in Notes
Rational
Decimal - Repeating & Terminating
Irrational
Integers
….-4,-3,-2,-1,
Fractions
π
Whole
0
Percents
0
Counting numbers
1,2,3,4 …
Not in notes
Rational numbers can be written in several forms
2
1 +1
2-0
2*1
Most common
2/1
4/2
8/4
Simplified
fraction
2.0
200%
Decimal
Percent
-(-2)
When rational numbers are written in a variety of forms,
you can compare the numbers by writing them all
in the same form.
The values on a number line increase as you move from left to right.
-50
-40
-30
-20
-10
0
<
10
20
30
40
50
Order from least to greatest.
1. Change all numbers
to percents
4
5 , 0.93, and 90 %
EX 1)
80 %
90 %
93 %
Graph the numbers on a number line.
4
5
0.93
90 %
0
10
20
30
40
50
60
70
80
90
Write the original numbers in least to greatest order
4 , 90 %, 0.93
5
100
%
Write the original numbers in least to greatest order
EX 2)
3 , 84 %, and 0.7
5
60 % 84 %
70 %
0
3 , 0.7, 84%
5
½
1
3
5 , 84 %, and 0.7
60 % 84 %
70 %
Graph the numbers on a number line.
- - -
EX 3)
-100
-90
-
-80
-70
-
-60
-50
-40
-
- 84% , - 0.7, 3
5
-30 -20
LEAST
What do you notice between the two examples above?
-10
GREATER
0
%
Conversions you need to memorize
Fraction
Decimal
Percent
Fraction
Decimal
Percent
1
1.0
100
1/10
0.1
10
¼
.25
25
2/10
0.2
20
½
0.5
50
1/25
0.04
4
3/4
0.75
75
1/50
0.02
2
1/8
0.125
12.5
1/100
0.01
1
5/8
0.625
62.5
1/3
0.33
33 1/3
1/5
0.2
20
2/3
0.66
66 2/3
4/5
0.8
80
Any fraction with a denominator of 5,10,100.
Essential Question
What is a simple rule for comparing rational
numbers?
Notes
Date _______________
Relationships Between Sets of
Rational Numbers
Order from least to greatest.
1. Change all numbers
to __________
EX 1)
Graph the numbers on a number line.
0
10
20
30
40
50
60
70
80
90
Write the original numbers in least to greatest order
100
Write the original numbers in least to greatest order
EX 2)
0
½
1
EX 3)
Graph the numbers on a number line.
-100
-90
-80
-70
-60
-50
-40
-30 -20
-10
0
Conversions you need to memorize
Fraction
Decimal
Percent
Fraction
Decimal
Percent
1
1.0
100
1/10
0.1
10
¼
.25
25
2/10
0.2
20
½
0.5
50
1/25
0.04
4
3/4
0.75
75
1/50
0.02
2
1/8
0.125
12.5
1/100
0.01
1
5/8
0.625
62.5
1/3
0.33
33 1/3
1/5
0.2
20
2/3
0.66
66 2/3
4/5
0.8
80
Any fraction with a denominator of 5,10,100.
Essential Question
What is a simple rule for comparing rational
numbers?