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Do Now 9/16/09 Take out your HW from last night. Copy HW in your planner. “One Left Out” worksheet Textbook page 32, #14-40 even, #48-58 even Quiz on adding and subtracting integers Monday. In your journal, answer the following question. What is the sum of two opposite numbers? Give three examples. Homework “One Left Out” 1) 3 + 5 x 9 2) 25 – 65 / 5 3) 24 / 6 x 4 4) 16 – 8 + 9 5) 45 – 4 x 5 6) 9 + 6 / 3 7) 9 – (8 – 7) 8) 32 / (8 / 4) 9) 50 – (20 +30) 10) 48 / (4 + 12) 11) 12 x (36 / 9) 12) 17 + (7 – 6) 13) (10 – 6) + (12 + 9) 14) (1 +4 ) x (2 +3) 15) [15 – (4+1)]² The keys of a piano. Objective SWBAT use a number line to perform integer addition SWBAT use absolute values to perform integer addition Please take out your number lines Using Counters negative positive -6 + 2 = -4 -6 +2 Zero Pair -1 + 1 = 0 Using Counters negative positive 5 + (-3) = 2 5 -3 Zero Pair -1 + 1 = 0 Section 1.5 “Adding Integers” -5 -4 -3 -2 -1 0 1 2 3 4 5 +5 -1 + 5 = When you ADD a POSITIVE NUMBER -1 + 5 = 4 Addition Using a Number Line -5 -4 -3 -2 -1 0 1 2 3 4 5 -7 3 + (-7) = When you ADD a NEGATIVE NUMBER 3 + (-7) = -4 Try It Out 1). 7 + (-5) = 2 2). -13 + 8 3). (-7) + (-4) = -11 4). 15 + (-17) = -2 5). |-10| + (-7) = 3 = -5 Addition Using a Number Line -1 + 5 + (-7) -5 -4 -3 -2 -1 0 1 2 3 4 5 -7 +5 -1 + 5 = 4 + (-7) = When you ADD a POSITIVE NUMBER When you ADD a NEGATIVE NUMBER -1 + 5 + (-7) = -3 Addition Using a Number Line -1 + (-4) + 9 -5 -4 -3 -2 -1 0 1 2 3 4 5 -4 -1 + (-4) = -5 + 9 = +9 When you ADD a NEGATIVE NUMBER When you ADD a POSITIVE NUMBER -1 + (-4) + 9 = 4 Try It Out 1). -3+ 10 + (-5) 2). -13 + 8 + (-6) = -11 3). (-7) + (-4) + 4 = -7 4). 15 + (-17) + 9 = 7 5). -8 + |-10| + (-7) = -5 =2 ABSOLUTE VALUE -5 The distance a number is away from ZERO. Distance is always positive. -4 -3 -2 negative -1 0 1 2 zero 3 4 positive What is the absolute value of -4? or |-4| |-4| = 4 What is the absolute value of 4? or |4|? |4| = 4 5 Adding Two Integers with DIFFERENT signs To add two integers with DIFFERENT signs, subtract the smaller absolute value from the greater absolute value and write the sign of the integer with the greater absolute value. -35 + 18 |-35| = 35 |18| = 18 Because 35 has a greater 35 – 18 = - 17 absolute value than 18 the answer is “negative”. -43 + 35 |-43| = 43 |35| = 35 Because 43 has a greater 43 – 35 = 8 absolute value than 35 the answer is “negative”. -53 + 85 |-53| = 53 |85| = 85 85 – 53 = 32 Because 85 has a greater absolute value than 53 the answer is “positive”. Negative or Positive? Without solving the problem, decide whether the sum will be positive, negative, or zero. 7 + (-4) -13 + 11 positive -3 + 3 zero negative 73 + (-67) positive Try It Out… -43 + 95 = 52 -43 + (-15)= -58 37 + (-46) = -9 -123 + 162 = 39 -13 + 13 = 0 -83 + 57 = -26 “Integer” Cards Red cards = Negative Black cards = Positive Jack = 11, Queen = 12, King =13 Dealer deals each player 2 cards. The player with the highest sum, gets all the cards from that round. The player with the most cards at the end of the deck wins! Homework Textbook page 32 #14-40 even, #48-58 even