relationships between sets of rational numbers. review comparison symbols > < greater than...
TRANSCRIPT
Relationships Between Sets of Rational Numbers
Review comparison symbols
><
Greater Than
Less Than
Not in Notes
0
Whole
Fractions
Decimal - Repeating & Terminating
Integers
Percents
RationalIrrational
1,2,3,4 …
Counting numbers
0
….-4,-3,-2,-1,
π
Rational numbers can be written in several forms
2 1 +1 2 - 0 2/1 4/2 8/4 2.0 200% -(-2)2*1
Most common Simplified fraction
Decimal Percent
Not in notes
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.
45 0.93, and 90 %,
80 %
Graph the numbers on a number line.
93 % 90 %
45
1. Change all numbers to percents
EX 1)
0 10 20 30 40 50 60 70 80 90 100
45 0.93
90 %
Write the original numbers in least to greatest order
, 90 %, 0.93
%
, 84 %, and 0.7 35
60 % 84 % 70 %
35
Write the original numbers in least to greatest order
EX 2) , 0.7, 84%
, 84 %, and 0.7 35
60 % 84 % 70 %
EX 3) - - -- - -
Graph the numbers on a number line.
-100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0
- 84% , - 0.7, 35-
What do you notice between the two examples above?
LEAST GREATER
0 ½ 1
%
Conversions you need to memorize
Fraction Decimal Percent
1 1.0 100
¼ .25 25
½ 0.5 50
3/4 0.75 75
1/8 0.125 12.5
5/8 0.625 62.5
1/5 0.2 20
4/5 0.8 80
Fraction Decimal Percent
1/10 0.1 10
2/10 0.2 20
1/25 0.04 4
1/50 0.02 2
1/100 0.01 1
1/3 0.33 33 1/3
2/3 0.66 66 2/3
Any fraction with a denominator of 5,10,100.
Essential Question
What is a simple rule for comparing rational numbers?
Notes
Relationships Between Sets of Rational Numbers
Date _______________
Order from least to greatest.
Graph the numbers on a number line.
1. Change all numbers to __________
EX 1)
0 10 20 30 40 50 60 70 80 90 100
Write the original numbers in least to greatest order
Write the original numbers in least to greatest order
EX 2)
EX 3)
Graph the numbers on a number line.
-100 -90 -80 -70 -60 -50 -40 -30 -20 -10 0
0 ½ 1
Conversions you need to memorize
Fraction Decimal Percent
1 1.0 100
¼ .25 25
½ 0.5 50
3/4 0.75 75
1/8 0.125 12.5
5/8 0.625 62.5
1/5 0.2 20
4/5 0.8 80
Fraction Decimal Percent
1/10 0.1 10
2/10 0.2 20
1/25 0.04 4
1/50 0.02 2
1/100 0.01 1
1/3 0.33 33 1/3
2/3 0.66 66 2/3
Any fraction with a denominator of 5,10,100.
Essential Question
What is a simple rule for comparing rational numbers?