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6th CAASPP Laws

Tips on the Laws

QuestionAnswer
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