If this is a number line, where would we put counting numbers?

1 2 3 4 5

1 2 3 4 5 These are counting numbers because we count with them!

1 2 3 4 5 What are whole numbers?

0 1 2 3 4 5 Whole numbers are the counting numbers and zero.

0 1 2 3 4 5 What are integers?

-5 -4 -3 -2 -1 0 1 2 3 4 5 Integers are whole numbers and negative numbers.

-5 -4 -3 -2 -1 0 1 2 3 4 5 Where would we place rational numbers?

-5 -4 -3 -2 -1 0 1 2 3 4 5 Rational numbers are fractions or decimals that can go on a number line.

Here are some examples: .5, -5.25, -3 -5 -4 -3 -2 -1 0 1 2 3 4 5 Here are some examples: .5, -5.25, -3 1 2

Here are some examples: .5, -5.25, -3 1 2 -3 .5 -5.25 -5 -4 -3 -2 -1 0 1 2 3 4 5 Here are some examples: .5, -5.25, -3 1 2

So, what are IRrational numbers? 1 2 -3 .5 5.25 -5 -4 -3 -2 -1 0 1 2 3 4 5 So, what are IRrational numbers?

1 2 -3 .5 5.25 -5 -4 -3 -2 -1 0 1 2 3 4 5 Irrational numbers are the numbers or symbols we can’t place on the number line: π √2

Here’s another way to look at it . . .

-5 √2 -22 -45 √8 + 6 Counting Numbers -110 1 3 6 90 Real Numbers Rational 5.87 -2 ½ .45 -1 1/10 Irrational 3 * √2 √2 π √8 + 6 Integers -5 -22 -45 -110 Whole Counting Numbers 1 3 6 90

(THINK FLIP FLOP FACTS!) Commutative Property The sum or the product of two numbers is the same regardless of the order of the numbers. (THINK FLIP FLOP FACTS!)

(THINK FLIP FLOP FACTS!) Commutative Property The sum or the product of two numbers is the same regardless of the order of the numbers. (THINK FLIP FLOP FACTS!) 5 + 7 = 7 + 5 100 * 1 = 1 * 100 3 * 4 = 4 * 3 42 + 20 = 20 + 42 8 + 11 = 11 + 8