Objective - To recognize, graph, and compare rational numbers.
Rational Number - any number that can be written
as a fraction.3ie : 7
1, 53
ie : 0.9including decimals...9
10 , 2.31 312
100
ie : 0.4including decimalsthat repeat...
49
, 5.17 17599
ie : 5including Integers...51
, 62 621
ie : 13including Wholes... 131
, 0 02
Rational Numbers
Fractions/Decimals Integers
2.5 1, 35
3,7
, 0.45 …-3, -2, -1, 0, 1, 2, 3…
Negative Integers
…-3, -2, -1
Wholes
0, 1, 2, 3...
Zero
0
Naturals
1, 2, 3...
Create a Venn Diagram that shows the relationshipsbetween the following sets of numbers.
Naturals, Wholes, Integers, Rationals
Naturals1, 2, 3...
Wholes0
Integers-3-47
Rationals
2.5
135
37
0.45
Identify all of the sets to which each number belongs. (Naturals, Wholes, Integers, Rationals)
1) -6
2)
578
3) 14
4) 0.8
Integer
Rational
Natural
Rational
, Rational
, Whole, Integer, Rational
1) 0
2) - 2.03
3)
4)
Whole
Rational
Rational
Rational
215
0.8
Identify all of the sets to which each number belongs. (Naturals, Wholes, Integers, Rationals)
, Integer, Rational
Show that each number below is Rational by writing
it as a fraction in the form a , where b 0.b
1) 17
32) 54
3) 0.89
4) 0.4
5) 8
6) 2.33
7) 1.5
8) 6
171
234
89100
49
81
332100
5110
112
61
233100
Comparing Rational Numbers in Decimal Form
Use < or > to compare.
1) 8.45987 8.51 8.459878.51
<
2) 0.3 0.335 0.33333...0.335
<
3) 14.2 1.538 14.2 1.538
>0
Use < or > to compare the fractions below.
1) 4
5 5
7
2) 3
11 1
3
3) 5
8 9
16
4) 5
12 4
9
35 35 28 25
>
33 33 9 11
<
16 16 10 9
>
36 36 15 16
<
77 5
5
33 11
11
22 1
1
33 4
4
Comparing Rational Numbers in Fraction Form
Graph the fractions below on a number line, then order them from least to greatest.
75
, 35
, 13, 1
9
11
2 1 1
2 0 1
2 1 11
2
1
3, 1
9, 3
5, 7
5
13
19
35
75
Graphing Rational Numbers on a Number Line
Graph the following numbers on a number line.
3
112
53
0.4 3.21
-4 -3 -2 -1 0 1 2 3 4
3 112
0.4 53
3.21
4Which is greater 0.58 or ?7
0.58 7 4.00000000 5
3550
7
4910
1
73
47
028
4
2014
2
6056
8
4035
5
5049
7
0.571428>1
0.58
All rational numbers eitherterminate or repeat when
changed to a decimal.