Chapter 1-14 : Types of Numbers (Review)

Whole Numbers

A number with no fractional or decimal part. Cannot be negative

Natural Numbers

Whole Numbers from one & up (counting numbers)

Integers

All whole numbers (including positive & negative numbers)

Rational Number

Any number that can be written by dividing one integer by another (can be written as a fraction or ratio)

Irrational Numbers:

A number that cannot be writ ten as a simple fraction (because the decimal goes on forever without repeating).

Real Numbers:

All the numbers that can be found on a number line. Real numbers can be large or small, positive or negative, decimals, fractions, etc.

The Opposite of Opposites Property

the opposite of the opposite of a number is the number itself!

Absolute Value

distance from zero (on the number line)

absolute value is always _____.

positive

operations inside the absolute value bars

you must complete the operation inside them first, then take the absolute value.

What happens when there is a negative symbol outside an absolute value bar?

you evaluate the expression inside the bars first, then apply the negative symbol.

Variable

a letter or symbol used in place of a quantity we don’t know yet

Factors

integers you multiply together to get another integer.

Prime Numbers

a number that has only two factors (the number itself and 1 )

Any factors that are the same for two (or more) numbers are called ___.

Common Factors

GREATEST COMMON FACTOR

The largest factor that both numbers share is called the

COMMON MULTIPLES

any multiples that are the same for two (or more) numbers are called

LEAST COMMON MULTIPLE

the smallest multiple

3 types of fractions:

Proper fractions

Improper fractions

Mixed numbers

RECIPROCAL

any number multiplied by its reciprocal equals

inequality

a mathematical sentence that is used to compare quantities and contains one of the following signs:

RATIO

a comparison of two quantities.