The Real Number System

Real Numbers

Irrational Numbers

Rational Numbers

... -1.5, -1, -0.5, 0, 0.5, 1, 1.5,

Integers

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

Whole Numbers

0, 1, 2, 3, 4, 5, 6,

Natural Numbers

1, 2, 3, 4, 5, 6,

The Real Number Line

-5 -4 -3 -2 -1 0

1 2 3 4 5

-5 -4 -3 -2 -1 0

1 2 3 4 5

-5 -4 -3 -2 -1 0

1 2 3 4 5

Natural Numbers

Whole Numbers

Integers

-5 -4 -3 -2 -1 0

1 2 3 4 5

-4.5 -2.5

0.33 1.7 2.9 4.1

Remember that Irrational Numbers do not have an

exact point on the number line.

Rational Numbers

Irrational Numbers

Square Roots

A number is a Perfect Square if it is the product

of two Identical Factors.

These are all perfect squares because they are

the product of two identical factors.

Common Perfect Squares

Here is a list of the first 20 perfect squares.

I should probably try to remember those.

Evaluating Square Roots

A number is a Perfect Square if it is the product

of two Identical Factors.

Evaluate the following radicals

More Evaluating Radicals

These are all Rational Numbers

These are all Irrational Numbers

More Irrational Roots

Irrational Roots will always fall between two

consecutive integers.

Between what two consecutive integers is each

square root?

Between 5 and 6

Between -12 and -11

Between 14 and 15

Asi De Facil

That was easy

Homework

Page 20 10 22 28 - 36 Even Numbers Only

Expressing a Decimal as a Rational Number

A rational number is any number that can be

written in the form

Write the fraction as the given number over the

place value. Reduce the resulting fraction if

possible.

Expressing Rational Numbers as a Decimal

A rational number is any number that can be

written in the form

Common Fractions

Decimal Fractions

Written with a numerator and a denominator.

The numerator is written after the decimal point

and the denominator is indicated by the place

value of the last digit.

To express as a decimal, perform the division.

These are all terminating decimals.

Repeating Decimals

The same number, or pattern of numbers, repeats.

That was easy

Symbols of Inequality

Symbol

Example

Written in Words

9 is greater than 2

2 is less than 9

9 is greater than or equal to 2

2 is less than or equal to 9

2 is not equal to 9

Comparing Real Numbers

Compare the following numbers with an inequality

symbol.

Write each as a decimal

Compare the decimals

Write the answer with the original numbers

Ordering Numbers from Least to Greatest

Order the numbers in each group from least to

greatest.

Homework

Page 20 38 - 50 Even Numbers Only