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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) |

Created by:
bennieandthejetsramsay