Download 1-1 Properties of Real Numbers

Unit 1-Number Sets
Aa-1.1 Define and identify integers,
rational, irrational, natural, whole
and real numbers.
1-1 Properties of Real
Numbers
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Real Numbers – are all Rational and
Irrational Numbers.
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There are 5 subsets of real numbers
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Natural Numbers – are the numbers used for counting.
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1,2,3,4,…………….
Whole Numbers – are the natural numbers and 0.
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0,1,2,3,4,………
Subsets of Real Numbers

Integers – are the natural numbers, also
called the positive integers, and their
opposites, also called the negative integers
and zero.
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…-3,-2,-1,0,1,2,3,4,…….
Subsets of Real Numbers
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Rational Numbers- ⅞,¼,0.5,1.2
Can be written as a fraction a / b where both a
and b are integers and b is not 0.
Rational numbers can also be written as either
terminating or recurring decimal fractions.
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Recurring decimal is a fraction which repeats itself
forever.
Terminating decimal is a fraction ends after a definite
number of digits.
Subsets of Real Numbers

Irrational Numbers -√2,√3,√⅜,∏,
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cannot be written in the form of a fraction where the
numerator and denominator are both integers, whole
numbers.
The square root of any prime number is irrational.
pi, the ratio between the circumference and diameter
of a circle, is irrational.
Numbers which can only be written as a never-ending,
non-repeating decimal fraction.
Diagram of Subsets of Real
Numbers