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# TorborgChapter4

### Factors, Fractions, Exponents

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

Rules For Divisibility | 2: even number 3: sum of digits = 0 4: last 2 digits are divisible by 4 5: ends in 5 or 0 6: if it is divisible by 2 and 3 8: last 3 digits are divisible by 8 9: sum is divisible by 9 10: ends in 0 |

Factors | numbers that are multiplied to get a number |

Order of Operations | PEMDAS (parenthesis, exponents, multiply/divide, add/subtract |

Exponent | small number by a bigger number that shows how many times to multiply the number by itself |

Base | the bigger number next to the exponent |

Power | how many times you multiply the base by itself (example: second power= b*b |

Prime Numbers | numbers that have no more than 2 factors |

Composite Numbers | numbers that have more than 2 fators |

GCF | greatest common factor: the biggest factor between a group of numbers (example: 2 and 4 GCF=2 |

-3 squared means | -3*3 |

(-3) squared means | (-3)(-3) |

rational numbers | examples: 1/2, 2, -1/16 |

23 | |

prime factorization 120 | 2^3*3*5 |

prime factorization using GCF 78 and 124 | 2 |

12x^2y^5/8x^4y^2 | 3y^3/2x^2 |

negative rational numbers | write with - sign on the top (example -2/1 |

4x^3y^5*3x^2yz^2 | 12x^5y^6z^2 rule for multiplying exponents: add the exponents that have the common variable |

(x^3y^5)^4 | x^12y^20 rule for the power of a power: multiply the exponent by the exponent outside of the parenthesis |

x^0 | 1 rule for zero power: always = 1 |

write without negatives x^-3y^2/a^2b^-3 | y^2b^3/a^2x^3 |

without fraction bar x^3y^2/a^2b^3 | x^3y^2a^-2b^-3 |

without zero or negative exponents and simplify x^-3y^2z^0/x^-2y^-3 | y^5/x |

Will Torborg | Period 2 |

Created by:
torborgwilliam