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# Ch 4 Fac, Frac., Exp

### Math Flash Cards

Question | Answer |
---|---|

Rules for divisibility | 2=ends with even number 3=sum of digits is divisible by 3 4=Last 2 numbers are divisible by 4 5=ends in 5 or 0 6=if its divisible by 2 and 3 8=last 3 numbers are divisible by 8 9=sum of digits is divisible by 9 10=ends in 0 |

Factors | numbers that divide evenly into another number |

Order of operations | PEMDAS |

Exponents | writing repeated multiplication how many times you multiply the number by itself |

Base | is the repeated factor of a number written in exponential form |

Power | is any expression in the form a^n, power is also used to refer to the exponent |

(-3)^2 means | 9 |

-3^2 means | -9 this would be negative because it doesn't have ( ) |

Prime numbers | any number that hais only 2 factors (1 and itself) example:7 |

Composite numbers | any number that has 3 or more factors |

GCF | Greatest common factor, Largest factor divisible into 2 or more #'s |

Variable GCF, | a GCF problem with variable(s) you find the like terms then combine and simplify |

EXAMPLE:(x^2y^5, xy^3) | example: (x^2y^5, xy^3)= x^3y^8 |

Finding Prime factorization using GCF | the smallest power of a common power |

Example: 78 and 124 | 2 |

Rational numbers | any number that can be written in the form a over b where b does not =0 |

give examples | examples=45, 1.2, 0.9 |

Negative exponent rule | rewrite as its reciprocal with a positive power |

example: x^-3 | X^3 |

Rewrite without fraction bar | on the top and bottom if there are negative you change them to a positive |

example: x^3y^2 over a^2b^3 | x^3y^2a^-2b^-3 |

Rewrite without zero or negative exponents and simplify | if it is negative you flip it to the top or bottom so if it is negative on the bottom you would move it to the top to make it no longer negative and if it is positive you just leave it |

example:x^-3y^2z^0 over x^-2y^-3 | y^2zy^3x^2 over x^3 |

Simplifying variable expressions | you combine the like terms and plus them and if there is 2 numbers then plus them |

example: 12x^2y^5 over 8x^4y^2 | 20x^6y^7 |

Negative Rational Numbers- how do you write Multiplying exponent rule | you take the negative numbers and put them on the other sides and |

Example:4x^3y^5 times 3x^2yz^2 | 12x^6yz^5 |

power of power rule | you take the two exponents and multiply them together |

example:(x^3y^5)^4 | x^12y^20 |

Prime factorization | is the expression of the number as the product of its prime factors |

example: 120 | 120= (6)(10)(2) |

write without negative exponents | rewrite as its reciprocal with a positive power |

example:x^-3y^2 over a^2b^-3 | a^2x^3 over b^3y^2 |

Zero exponent rule | any number written to the zero power the answer is one |

example: x^0 | x^1 |

Created by:
youngnoelle