Math humor:

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Math humor When 2/0 asked it he could join the
number line, he was told, Get real!
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Biologists classify animals based on shared
characteristics. The horned lizard is an animal,
a reptile, a lizard, and a gecko.
You already know that some numbers can be
classified as whole numbers, integers, or
rational numbers. The number 2 is a whole number,
an integer, and a rational number. It is also a
real number.
Animal
Reptile
Lizard
Gecko
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The set of real numbers is all numbers that can
be written on a number line. It consists of the
set of rational numbers and the set of irrational
numbers.
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Recall that rational numbers can be written as
the quotient of two integers (a fraction) or as
either terminating or repeating decimals.
4 5
23
3 3.8
0.6
1.44 1.2
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Examples
Write all classifications that apply to each
number.
5 is a whole number that is not a perfect square.
5
1A.
irrational, real
1B.
12.75 is a terminating decimal.
12.75
rational, real
16 2
1C.
whole, integer, rational, real
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A fraction with a denominator of 0 is undefined
because you cannot divide by zero. So it is not a
number at all.
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Examples
State if each number is rational, irrational, or
not a real number.
2A.
21
irrational
4 0
2C.
not a real number
0 3
2B.
rational
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The Density Property of real numbers states that
between any two real numbers is another real
number. This property is not true when you limit
yourself to whole numbers or integers. For
instance, there is no integer between 2 and 3.
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Example 3
There are many solutions. One solution is halfway
between the two numbers. To find it, add the
numbers and divide by 2.
Check Use a graph.