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# 6th CAASPP Laws

### Tips on the Laws

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

The "Commutative Laws" say we can switch #'s around when + & X and still get the same answer. When is this useful? | Because #'s can travel back and forth like a commuter it is useful. Sometimes it is easier to add or multiply in a different order. |

The "Associative Laws" say that it doesn't matter how we group the numbers when we + & X . When is this useful? | Because it allows you to put terms together to make groups of 10 or easier combos. You usually use parentheses. |

Why would the Distributive Law be useful here? 6 × 204= | Sometimes it is easier to break up a difficult multiplication: = 6×200 + 6×4 =1200+24=1224 |

Why would the Distributive Law be useful here? 16 × 6 + 16 × 4= | Simplifies problem to combine 16 (6+4) =16 x 10= 160 |

The Associative Law, Commutative Law and Distributive Law does not work for this operation. | Division! |

The Associative Law, Commutative Law and Distributive Law easily work with these operations | Adding and Multiplication! |

The Distributive Law is the only one that works for this operation. 26×3 - 24×3 = (26 - 24) 3 = | Subtraction - since both are being multiplied by 3, can pull it out ( 2)3 = 6 |

3 +0=3 and 5x1=5 are showing you what properties? | Identity Property of Addition and Identity Property of Multiplication |

When is the Identity Property useful? | When adding 2 fractions & finding the common denominator. The value won't change if you multiply by 1 - the form of 5/5 or 3/3. |

Tip on remembering Laws of Exponants: if can't remember laws, use simple numbers to test it out. | Ex. 2 ^2 * 2^3 is the same as 2* 2+ 2*2*2 so 2 ^5... Ahhh that means you add exponants when multplying with exponants |

Created by:
cpulizzi