Lesson 1: Comparing and Ordering Integers

Number Line Points to the right of the zero (the

origin) represent positive numbers. Points to the left of zero represent negative numbers. Zero is neither positive nor negative.

Integers* The set of counting numbers, their

opposites, and zero; the members of the set (…,-2, -1, 0, 1, 2,…)

IntegersAll whole numbers (0, 1, 2…)

are integers, but not all integers are whole numbers.

Give an example of an integer that is not a whole number.

Counting numbers, whole numbers, and integers are examples of different sets of numbers. A set is a collection of items.

How are the sets of whole numbers and integers different?

Set of integers(…,-3, -2, -1, 0, 1, 2, 3,…)

Set of whole numbers(0, 1, 2, 3,…)

Absolute Value*The distance from the graph of a number to the origin on a number line.

Absolute Value Absolute value is always a positive

number because it represents a distance.

The absolute value of -5 is what?

Arrange these integers in order from least to greatest.

-3, 3, 0, 1

Compare

Which is greater? -3 or -1

Compare

Now which is greater? The absolute value of -3 or the absolute value of -1?

Graphing points on a number line

How would we graph the points -4, -2, 0, 2, and 4 on a number line?

What kind of set are these numbers a part of?

(…-4, -2, 0, 2, 4,…)

Graph two numbers that are four units from zero.

Arrange these integers in order from least to greatest

-4, 3, 2, -1, 0

Which number is an even number but not a whole number?

-4, 3, 2, -1, 0

Compare

Which is greater? -2 or -4?

Simplify

I -3 I

I 3 I

Write 2 numbers that are 10 units from 0.

What is an example of a whole number that is not a counting number?

Homework#1-30 Due Tomorrow