View
335
Download
4
Category
Tags:
Preview:
Citation preview
Classifying Numbers
Whole NumbersIntegers
Rational NumbersIrrational Numbers
Real Numbers
Whole numbers consist of any positive number which does not have fractional parts.
This set also includes zero.
0, 1, 2, 3, 4, 5, 6, 7, …
Fractions Mixed Numbers
Negative Numbers
Integers are whole numbers both positive and negative. This set also includes zero.
…, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, …
Fractions Mixed Numbers
Notice that the set of whole numbers is included in the set of integers.
WholeNumbers
Integers
Rational numbers include all integers as well as terminating & repeating decimals, fractions, and mixed number.
…, -3,-2.75, -2, -1, 0, ½, .7, 1, 2, 3, 3.5 …
Nonterminating, nonrepeating decimals
What isn’t a rational number
These numbers are irrational. They are nonrepeating, nonterminating decimals.
= 3.141592653…
2 = 1.414213562…
5 = 2.23606797…
Note: These are square roots of non-perfect squares.
Rational numbers include both integers and whole numbers.
WholeNumbers
Integers
Rationals
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7
2) -4
3) 2.75
4) .3
5) 25
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational
2) -4
3) 2.75
4) .3
5) 25
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational
2) -4 integer, rational
3) 2.75
4) .3
5) 25
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational
2) -4 integer, rational
3) 2.75 rational
4) .3
5) 25
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational
2) -4 integer, rational
3) 2.75 rational
4) .3 rational
5) 25
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) .7 rational
2) -4 integer, rational
3) 2.75 rational
4) .3 rational
5) 25 whole, integer, rational
6) -2½
Classify each number as whole, integer, or rational. You may give multiple names to each number.
1) 0.7 rational
2) -4 integer, rational
3) 2.75 rational
4) 0.3 rational
5) 25 whole, integer, rational
6) -2½ rational
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
6/1
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
6/1 0
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
6/1 0
14
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
6/1 0
14
-4 ¾
Place the following numbers in the appropriate location on the diagram:-5 2.6 ½ 6/1 0 14 -4 ¾ 4.0
WholeNumbers
Integers
Rationals
-5
2.6½
6/1 0
14
-4 ¾
4.0
The set of rational numbers and irrational numbers comprise the set of real numbers.
Integers
Rationals
WholeNumbers
Irrationals
Real Numbers
Decide whether each number is rational or irrational.
1)
2)
3) -6
4)
5) 2.4545454545…
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2)
3) -6
4)
5) 2.4545454545…
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6
4)
5) 2.4545454545…
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4)
5) 2.4545454545…
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4) rational
5) 2.4545454545…
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4) rational
5) 2.4545454545… rational
6) 7.25
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4) rational
5) 2.4545454545… rational
6) 7.25 rational
7)
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4) rational
5) 2.4545454545… rational
6) 7.25 rational
7) irrational
8)
25
30
16
8
40
Decide whether each number is rational or irrational.
1) rational
2) irrational
3) -6 rational
4) rational
5) 2.4545454545… rational
6) 7.25 rational
7) irrational
8) irrational
25
30
16
8
40
What isn’t a real number
These “numbers” are NOT real numbers.
9
15
24
0
5
0
3 0
12
You cannot find the square root of a negative number.
You cannot divide by zero.
Classify each number as real or not real.
1)
2)
3)
4)
5)
25
8
64
0
4
4
0
Classify each number as real or not real.
1) Not real
2)
3)
4)
5)
25
8
64
0
4
4
0
Classify each number as real or not real.
1) Not real
2) Real
3)
4)
5)
25
8
64
0
4
4
0
Classify each number as real or not real.
1) Not real
2) Real
3) Real
4)
5)
25
8
64
0
4
4
0
Classify each number as real or not real.
1) Not real
2) Real
3) Real
4) Not real
5)
25
8
64
0
4
4
0
Classify each number as real or not real.
1) Not real
2) Real
3) Real
4) Not real
5) Not real
25
8
64
0
4
4
0
Whole Numbers
0 1 2 3
Integers
-3 -2 -1 0 1 2 3
Rational Numbers
-3 -2 -1 -.75
0 1 2 3
2
14
12 3.2
Irrational Numbers
π5 142 2614
REAL NUMBERS =
Irrational Numbers
π5 142 2614
Rational Numbers-3 -2 -1
-.750 1 2 3
2
14
12 3.2
+
Integers
Rationals
WholeNumbers
Irrationals
Real Numbers Numbers
that are NOT real.
Give 2 examples of each kind of number.
Recommended