**Real Numbers**

symbol

real numbers:

the set of rational &

irrational numbers

Rational

Numbers

Irrational

Numbers

**Rational**

Numbers

Numbers

**Irrational**

Numbers

Numbers

rational numbers:

numbers that repeat

or terminate

examples:

0 100 2.333333...

1/2 5/8

which of the following

is a rational number?

a) 15

b) 3.1459...

c) 62.8903

d) 5.11111...

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a) 15 - it terminates

c) 62.8903 - it terminates

d) 5.11111... - it repeats

b is not because 3.1459... does not terminate or repeat

Integers

all integers are

rational!

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integers:

positive & negative

whole numbers

(no decimals or fractions)

examples:

...-3, -2, -1, 0, 1, 2, 3...

which of the following are integers?

a) 1.5

b) 0

c) 3/7

d) -100

b) 0 is an integer & rational

d) -100 is an integer & rational

a & c are not because integers are positive or negative whole numbers. a & c are still rational

Whole

Numbers

all whole numbers

are integers

(all integers are

rational)

whole numbers:

counting numbers

and zero

(no decimals,

no fractions,

no negatives)

examples:

0, 1, 2, 3...

which of the following

is an integer?

a) -4

b) 0.5

c) 1,000

d) 0

c) 1,000 is an integer because it's a counting number

d) is an integer because it's zero

a and b are not integers because a is negative and b is a decimal