Objective - To recognize, graph, and compare rational numbers.

1
Objective - To recognize, graph, and compare
rational numbers.
- any number that can be written as a fraction.
Rational Number
including decimals...
including decimals that repeat...
including Integers...
including Wholes...
2
Rational Numbers
Fractions/Decimals
Integers
-3, -2, -1, 0, 1, 2, 3
Negative Integers
Wholes
-3, -2, -1
0, 1, 2, 3...
Zero
Naturals
0
1, 2, 3...
3
Create a Venn Diagram that shows the
relationships between the following sets of
numbers.
Naturals, Wholes, Integers, Rationals
Rationals
Integers
-3
-47
Wholes
0
Naturals
1, 2, 3...
4
Identify all of the sets to which each number
belongs. (Naturals, Wholes, Integers, Rationals)
1) -6
Integer
, Rational
2)
Rational
3) 14
Natural
, Whole
, Integer
, Rational
4) 0.8
Rational
5
Identify all of the sets to which each number
belongs. (Naturals, Wholes, Integers, Rationals)
1) 0
Whole
, Integer
, Rational
2) - 2.03
Rational
3)
Rational
4)
Rational
6
Show that each number below is Rational by
writing it as a fraction in the form
7
Comparing Rational Numbers in Decimal Form
Use lt or gt to compare.
lt
1) 8.45987 8.51
8.45987 8.51
lt
2) 0.3 0.335
0.33333... 0.335
gt
3) 14.2 1.538
14.2 1.538
0
8
Comparing Rational Numbers in Fraction Form
Use lt or gt to compare the fractions below.
gt
gt
lt
lt
9
Graph the fractions below on a number line, then
order them from least to greatest.
10
Graphing Rational Numbers on a Number Line
Graph the following numbers on a number line.
-4 -3 -2 -1 0 1 2
3 4
11
gt
All rational numbers either terminate or repeat
when changed to a decimal.
12
Density
Rational numbers are infinitely dense.
This implies that between any two rational
numbers, an infinite number of other
rational numbers exist.