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Published byFrederick Harrell Modified over 8 years ago

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Lesson 1: Comparing and Ordering Integers

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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.

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Integers* The set of counting numbers, their opposites, and zero; the members of the set (…,-2, -1, 0, 1, 2,…)

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Integers All whole numbers (0, 1, 2…) are integers, but not all integers are whole numbers.

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

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

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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,…)

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

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Absolute Value Absolute value is always a positive number because it represents a distance. The absolute value of -5 is what?

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Arrange these integers in order from least to greatest. -3, 3, 0, 1

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Compare Which is greater? -3 or -1

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

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

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What kind of set are these numbers a part of? (…-4, -2, 0, 2, 4,…)

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Graph two numbers that are four units from zero.

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Arrange these integers in order from least to greatest -4, 3, 2, -1, 0

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Which number is an even number but not a whole number? -4, 3, 2, -1, 0

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Compare Which is greater? -2 or -4?

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Simplify I -3 I I 3 I

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Write 2 numbers that are 10 units from 0.

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

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Homework #1-30 Due Tomorrow

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