Objective - To classify and identify numbers within the real number system.

1
Objective - To classify and identify numbers
within the real number system.
Makes Sense
Doesnt Make Sense
Rational Numbers
Irrational Numbers
-Any number that can be written as a fraction.
-Non-terminating and non-repeating decimals.
-cant be written as a fraction.
fractions
wholes
integers
terminating decimals
repeating decimals
2
Sets of Numbers
Naturals - Natural counting numbers. 1, 2, 3

Wholes - Natural counting numbers and zero.
0, 1, 2, 3
Integers - Positive or negative natural numbers
or zero. -3, -2, -1, 0, 1, 2, 3
Rationals - Any number which can be written as a
fraction.
Irrationals - Any decimal number which cant be
written as a fraction. A non-terminating and
non-repeating decimal.
Reals - Rationals and irrationals.
3
Sets of Numbers
Reals
Rationals
Irrationals
- any number that can be written as a fraction.
- non-terminating and
non-repeating decimals
, 7, -0.4
Integers
Fractions/Decimals
-3, -2, -1, 0, 1, 2, 3...
, -0.32, - 2.1
Negative Integers
Wholes
-3, -2, -1
0, 1, 2, 3...
Naturals
Zero
1, 2, 3...
0
4
Make a Venn Diagram that displays the following
sets of numbers Naturals, Wholes, Integers,
Rationals, Irrationals, and Reals.
Reals
Rationals
-2.65
Integers
-3
-19
Wholes
0
Irrationals
Naturals
1, 2, 3...
5
Imaginary Numbers
Reals
Rationals
-2.65
Integers
-3
-19
Wholes
0
Irrationals
Naturals
1, 2, 3...
6
Identify each number below as natural,
whole, integer, rational, irrational, or real.
More than one may apply.
Rational
, Real
Whole
, Rational
, Real
, Integer
, Rational
, Real
Integer
Irrational
, Real
,Whole
, Rational
, Real
, Integer
Natural
7
Identify each number below as natural,
whole, integer, rational, irrational, or real.
More than one may apply.
Rational
, Real
, Rational
, Real
Integer
,Whole
, Rational
, Real
, Integer
Natural
, Rational
, Real
Integer
, Real
Irrational
8
Graph each of the numbers on the number line.
-5 -4 -3 -2 -1 0 1 2 3
4 5
A
B
C
D
E
F
9
Use lt, gt, or to compare.


lt
lt
lt
gt
lt
gt