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16 Cards in this Set
- Front
- Back
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Natural Numbers
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The set of numbers 1,2,3,4,5,6...... as used in counting
Symbol = N |
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Whole Numbers
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the set of natural numbers and zero
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Number Line
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Is a graduated straight line along which it is possible (in theory) to mark all the real numbers
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Negative Numbers
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are all real numbers which are less than 0.
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Integers
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Are numbers made from the natural numbers (including 0) by putting a positive or negative sign in front. the positive signed is often omitted.
eg. .......-5, -4, -3, -2, -1 0, 1, 2, 3, 4, 5......... |
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Signed Numbers
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Integers (positive or negative numbers)
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Rational Number
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Can be written in the form a/b where a and b are both intergers and b is not 0.
eg. -4.5 , 1 1/3, .09090909, 8 Note: All integers are rational numbers |
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Set-Builder Notation
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is used to describe a set of numbers without actually having to list all the elements.
{ x| x has a certain property } |
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Graph a Number
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The point on a number line that corresponds to a number is its graph.
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Coordinate on a number line
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Each number on a number line is called the coordinate of the point that it labels.
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Irrational Number
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An irrational number cannot be written as the quotient of two integers but can be represented by a point on the number line.
eg. square roots |
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Real Numbers
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Include all numbers that can be represented by points on the number line, that is, all rational and irrational numbers
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Ordering of Real Numbers
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For any two real numbers a and b, a is less than b if a is to the left of b on the number line.
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Additive Inverse (Opposite)
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Two numbers that are the same distance from, but on opposite sides , of 0 on a number line
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Double Negative Rule
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For any real number a,
-(-a) = a -(-a) is -1 x (-a) = [(-1) (-1)] a = 1 x a = a |
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Absolute value
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the absolute value of a number is the distance between 0 and the number on the number line.The symbol for absolute vale is | |.
Note: Absolute Value symbols | | can also be grouping symbols, | 8 - 2 |. Always perform any operations that appear inside absolute value symbols before finding the absolute value. |
