1. Integers Objective: Students will review the properties of mathematics and the operations with respect to integers Warm-up Times tables, squares from 1-32

2. Properties of Mathematics Commutative Property ↔ Associative Property ( ) Distributive x/+ Identity  Reciprocal1/x Additive Inversea + (- a) = 0

3. Properties Associative a+ ( b + c ) = (a + b) + c Commutative a + b = b + a Distributive a (b + c) = ab + ac Identity a x 1 = a c + 0 = c Reciprocal 5 x 1/5 = 1 1/b x b = 1 Additive inverse 13 + (-13) = 0

4. Rules for adding integers Integers are whole numbers from - ∞ to ∞ The magnitude of an integer is it’s distance from 0, the absolute value. The sign determines the direction it is on the number line; + is right, – is left. Integers are whole number vectors called scalars meaning they only follow the number line for direction

5. Rules for adding integers To add integers with like signs add the absolute values and apply the sign. -23 + -19 = - 42 or 15 + 17 = 32 To add integers with different signs subtract the lesser from the greater magnitude and apply the sign of the greater magnitude integer -56 + 25 = -31 -19 + 40 = 21

6. Rules for Multiplying (Dividing) Integers Use the chart for obtaining the sign of results in Multiplication or Division X / ÷ + - + + - - - +

7. Rules for Multiplying (Dividing) Integers -8 x 12 = -96-3 x -4 = 12 24 ÷ -2 = -12-3 ÷ -1 = 3 27 x -2 x -10 = 540 -2 x -2 x -2 = -8 even numbers of negative signs = + odd numbers of negative signs = - -2 x 13 x -4 x -3 x -1 x -13 ÷ -12 = ???

8. Classwork Go to www.yourteacher.comwww.yourteacher.com Sign in as (login) “centr” Password – ”classmate” Go through Chapter 2 Integers You need 4/5 minimum to continue When finished Sign into TCA and go to math skills Take the quizzes for Signed Numbers