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8th grade vocabulary

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Term
Definition
real numbers   made up of two sets of two numbers- rational/irrational. can be written as fractions, mixed numbers, decimals, positive and negative numbers, and radicals.  
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rational numbers   consists of integers, terminating/repeating decimals. all rational numbers can be expressed as a fraction.  
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integers   all natural numbers, their opposites, and zero. doesn't include fractions/decimals. all whole numbers.  
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whole numbers   consists of natural numbers and zero.  
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natural numbers   are all counting numbers.  
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irrational numbers   all numbers that are non-terminating/non-terminating decimals; cannot be expressed as a fraction.  
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real number system   made of rational and irrational numbers. 5 subsets; rational, integers, whole numbers, natural numbers, irrational  
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radical   a symbol that expressed a square root, a cube root, etc  
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perfect squares   product of an integer multiplied by itself.  
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exponential notation   a method of rewriting numbers- number is a base raised to an exponent.  
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exponent   a number to which the base is not raised  
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power   product of repeated multiplication of the same factor.  
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base   factor that is multiplied.  
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prime factorization   a number written as a product of its prime numbers.  
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product of power property   when the product of two exponential notations have the same base, you add the exponents.  
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quotient of power property   when the quotient of two exponential notations have the same base, subtract the exponents.  
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power to a power property   take an expression that is always raised to an exponent and raised to another exponent.  
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power of a product property   different bases, same exponents. combine bases in parentheses and raise it to the same exponent.  
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product of quotient property   different bases, same exponent. combine bases in parentheses and raise to same exponent  
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zero exponents   states that any term w/ an exponent of zero is equal to one  
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negative exponents   exponents that are negative- write them as positive  
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scientific notation   a way of expressing a long number in the form of A x 10 to a power  
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coefficient   the multiplicative factor in scientific notation  
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standard form   a way of expressing a number using 0-9 and place value notaiton  
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prefix   a name that precedes a basic unit of measure  
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consistent   an equation that has only one solution  
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inconsistent equation   an equation with no solution, results in false statement  
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identity equation   an equation that is true for all values of variable  
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inverse operation   operation that undoes another operation (addition/subtraction, multiplication/division)  
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slope   the ratio of the rise to the run  
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rise   vertical change from point A to point B (change in y)  
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run   horizontal change from point A to point B (change in x)  
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slope intercept form   linear equation y=mx+b  
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y-intercept   the y-coordinate of the point where a line intersects the y-axis  
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x-intercept   the x-coordinate of the point where a line intersects the x-axis  
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linear relationship   a relationship between two quantities in which there is a constant variation between them  
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positive slope   the lines rises from left to right (uphill)  
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negative slope   the line falls from left to right (downhill)  
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no slope (undefined)   the line is parallel to the y-axis  
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zero slope   the line parallel to the x-axis (no rise or fall)  
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