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WHOLE NUMBER

The Numbers from 0 to +α

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NATURAL NUMBER

The Numbers 1 to +α

Also known as Counting Numbers

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INTEGER

The set of whole numbers and their opposites

From -α to +α

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RATIONAL NUMBER

A number that can be written as a/b where a and b are integers, but b is not equal to 0. .25=¼

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IRRATIONAL NUMBER

A number whose decimal form is non-terminating and non-repeating. Cannot be written in the form a/b, where a and b are integers (b cannot be zero).

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REAL NUMBER

The set of all rational and irrational numbers.

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DECIMAL

A number that is written using the base-ten place value system. 5.6

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DECIMAL EXPANSION

Representing a number in decimal form.

¾=.75

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REPEATING DECIMAL

A number whose decimal representation eventually repeats the same sequence of digits. 1/3=.3333333...

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NON-TERMINATING DECIMAL

A decimal numeral that does not end in an infinite sequence of zeros. 1.42345426343517189191........

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TERMINATING DECIMAL

Has a decimal expansion that ends in zero. 0.726500000 = 0.7265

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RATIO

A comparison of two quantities by division.

½ or 1 to 2 or 1:2

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APPROXIMATION

A result that is not necessarily exact, but is within the limits of accuracy required for a given purpose.

146 ≈ 150 2.57≈3

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GREATER THAN

When a number is larger than the other number.

65 > 56

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LESS THAN

When a number is smaller than the other number. 107 < 215

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RADICAL

The symbol √ which is used to respresent the square root

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SQUARE ROOT

A number that when multiplied by itself, equals the given number.

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CUBE ROOT

A number that when multiplied by itself, and then mulitplied by itself again equals the given number.

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CUBED

A number cubed is the number raised to the third power.

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PERFECT SQUARE

A number with integers as its square roots.

1,4,9,16,25....

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PERFECT CUBE

A number that can be written as the cube of an integer. 1,8,27,64....

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PYTHAGOREAN THEOREM

In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse, a²+b²=c²

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CONVERSE

If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

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PROOF

a²+b²=c² where c is the hypotenuse while a and b are the legs of the triangle.

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LEGS

The two sides of a right triangle that form the right angle. ( called a and b)

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HYPOTENUSE

The side of the right triangle that is opposite the right angle ( called c)

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COUNTER EXAMPLE

An example that shows a conjecture is false.

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