1.1

Real Numbers and Number Operations

I can use a number line to graph and order real numbers.

I can identify properties of and use operations with real numbers.

Whole Numbers ◦ Positive numbers (0, 1, 2, 3, 4, ….)

Integers◦ Positive and negative numbers (-3, -2, -1, 0, 1, 2..)

Rational Numbers◦ Fractions, decimals, and whole numbers that

terminate or repeat (-100, 2.3535, , 0.33333)

Irrational Numbers◦ Numbers that do not terminate nor repeat (Π, , ..)

Definitions of Real Numbers

Graph the real numbers: - , , 2.7

Graphing Numbers on a Number Line

-3 -2 -1 0 1 2 3

Property Addition Multiplication

Commutative a + b = b + a ab = ba

Associative (a+b) + c = a + (b+c)

(ab)c = a(bc)

Identity a + 0 = a

0 + a = a

a ∙ 1 = a

1 ∙ a = a

Inverse a + (-a) = 0 a ∙ = 1

Distributive a(b + c) = ab + ac

Using Properties of Real Numbers

Identify the property:

(3 + 9) + 8 = 3 + (9 + 8)◦ Associative property of addition

14 ∙ 1 = 14◦ Identity property of multiplication

Identifying Properties of Real Numbers

(1.5 hours)()

◦ =75 miles

()()()

◦ =60 miles per hour

Using Unit Analysis

With a partner: ◦ Textbook pg. 7-8

19-22 29-30 33-38 44-54 even 55

When you are finished: ◦ Bring your work for me

to check your understanding and to copy down your homework.

Classwork