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1 Integers and the Number Line

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2 Constructing a Number Line A number line is drawn by choosing a starting position, usually 0, and marking off equal distance from that point

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3 Although only a portion of the number line is shown, the arrowheads indicate that the line and the set of numbers continue

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4 The set of numbers used on the number line is called the set of integers This set can be written {…, -3, -2, -1, 0, 1, 2, 3, …}

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5 The number line is made up of 3 sets of numbers Natural numbers 1, 2, 3, 4, … Whole numbers 0, 1, 3, 4, … Integers …, -2, -1, 0, 1, 2, …

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6 We can use a Venn Diagram to represent thee 3 sets of numbers and their relationship to one another

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7 You should not include the number 0 You should not include numbers less than 0 (negative numbers) You should not include the number 6 or any higher

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8 Positive numbers move to the right Negative numbers move to the left + 3 + (-8) = -5

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9 In Summary

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Number Sets. Symbols for Number Set Counting numbers ( maybe 0, 1, 2, 3, 4, and so on) Natural Numbers: Positive and negative counting numbers (-2, -1,

Number Sets. Symbols for Number Set Counting numbers ( maybe 0, 1, 2, 3, 4, and so on) Natural Numbers: Positive and negative counting numbers (-2, -1,

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