Transcript Integers and the Number Line

Integers and the
Number Line
Bob Guilbert
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Constructing a Number Line
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A number line is drawn by
choosing a starting position,
usually 0, and marking off equal
distance from that point
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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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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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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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We can use a Venn Diagram to
represent thee 3 sets of numbers
and their relationship to one
another
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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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Positive numbers move to the right
Negative numbers move to the left
+ 3 + (-8) = -5
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In Summary
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