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Lets Review Integers (you do not need to write this part down) Integers - The set of positive whole numbers, negative whole numbers, and zero. -5 -4 -3 -2 -1 0 1 2 3 4 Negative Integers Origin 5 Positive Integers 1.1 Integers and Absolute Value • Start writing this down Absolute Value Absolute Value - The distance a number is from zero on the number line. -5 -4 -3 -2 -1 0 1 So… 4 2 3 4 5 3 Absolute value always results to be a positive number. Evaluate the absolute value. 1) 11 11 3) 19 19 2) 8 8 4) 0 0 Compare Using <, > or = • Examples 1.) 4 7 4<7 2.) 5 5 5=5 • Steps: 1. Find the absolute value 2. Then compare Order the Values from least to greatest • example 6 , 7,8, 5 , 6 6,-7,8,5,-6 -7, -6, 5, 6, 8, • Steps: 1. Find the absolute value 2. Order Simplify when - x Examples: 1.) 3 -1 (3) = -3 2.) 3 -1 (3) = -3 Steps: 1. Find the absolute value 2. Multiply by -1 1.2 Adding Integers (Don’t Write) Essential Question How do you add integers with the same sign? 1. Find the absolute values 2. Find the sum of the absolute values 3. Apply the sign of the integers to the sum Write this down: Same sign add and keep!! Examples: Add the integers. 1.) -22 + (-16) -38 2.) -60 + (-13) -73 Same sign add and keep!! 3.) 125 + 35 160 (Don’t write) Essential Question How do you add integers with different signs? 1. Find the absolute values 2. Subtract the smaller absolute value from the larger. 3. Use the sign of the integer with the greater absolute value. Write this down: Different sign subtract Keep the sign of the larger number Examples: Add the integers. 1.) -51 + 20 -31 2.) 13 + (-13) 0 3.) 10 + (-18) -8 4.) 25 + (-26) -1 Adding more than two terms Use the Commutative and Associative Properties to help find the sum Example: 180 64 20 180 +20 +64 Commutative property (180 +20) + 64 Associative Property 200 +64 264 Example -20 + (-15) + 30 + (-1) Could you use the commutative property? What would you add together first? -20 + (-15) + (-1) +30 commutative [-20 +(-15) + (-1)] + 30 Associative -36 +30 -6 Homework 1. ) Page 6 (12-24 even, 30-36 even) 2. ) Page 12 (16-22, 26, 27, 28-38 even)