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math vocab
8th grade vocabulary
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. |
rational numbers | consists of integers, terminating/repeating decimals. all rational numbers can be expressed as a fraction. |
integers | all natural numbers, their opposites, and zero. doesn't include fractions/decimals. all whole numbers. |
whole numbers | consists of natural numbers and zero. |
natural numbers | are all counting numbers. |
irrational numbers | all numbers that are non-terminating/non-terminating decimals; cannot be expressed as a fraction. |
real number system | made of rational and irrational numbers. 5 subsets; rational, integers, whole numbers, natural numbers, irrational |
radical | a symbol that expressed a square root, a cube root, etc |
perfect squares | product of an integer multiplied by itself. |
exponential notation | a method of rewriting numbers- number is a base raised to an exponent. |
exponent | a number to which the base is not raised |
power | product of repeated multiplication of the same factor. |
base | factor that is multiplied. |
prime factorization | a number written as a product of its prime numbers. |
product of power property | when the product of two exponential notations have the same base, you add the exponents. |
quotient of power property | when the quotient of two exponential notations have the same base, subtract the exponents. |
power to a power property | take an expression that is always raised to an exponent and raised to another exponent. |
power of a product property | different bases, same exponents. combine bases in parentheses and raise it to the same exponent. |
product of quotient property | different bases, same exponent. combine bases in parentheses and raise to same exponent |
zero exponents | states that any term w/ an exponent of zero is equal to one |
negative exponents | exponents that are negative- write them as positive |
scientific notation | a way of expressing a long number in the form of A x 10 to a power |
coefficient | the multiplicative factor in scientific notation |
standard form | a way of expressing a number using 0-9 and place value notaiton |
prefix | a name that precedes a basic unit of measure |
consistent | an equation that has only one solution |
inconsistent equation | an equation with no solution, results in false statement |
identity equation | an equation that is true for all values of variable |
inverse operation | operation that undoes another operation (addition/subtraction, multiplication/division) |
slope | the ratio of the rise to the run |
rise | vertical change from point A to point B (change in y) |
run | horizontal change from point A to point B (change in x) |
slope intercept form | linear equation y=mx+b |
y-intercept | the y-coordinate of the point where a line intersects the y-axis |
x-intercept | the x-coordinate of the point where a line intersects the x-axis |
linear relationship | a relationship between two quantities in which there is a constant variation between them |
positive slope | the lines rises from left to right (uphill) |
negative slope | the line falls from left to right (downhill) |
no slope (undefined) | the line is parallel to the y-axis |
zero slope | the line parallel to the x-axis (no rise or fall) |