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Bell Ringer 5. Evaluate g – h Subtract if g = -2 and h = -7 1. 2 – 15 6. In Mongolia, the 2. -13 - 8 temperature can dip 3. Find 12 – (-6) down to -45oC in 4. Find 21 – (-8) January. The temperature in July may reach 40oC. What is the temperature range in Mongolia? 3-6 Multiplying Integers • For the first activity we are going to need the following items: • Some type of counter Counter can be anything • 1 Paper towel with different colors: M & M’s, Skittles, Reese’s Pieces, etc. Mini Lab • Counters can be used to 1. 4(-2) multiply positive and negative integers. Here’s Write a rule for finding 2. 3(-2) how we are going to the sign of the product of a positive and multiply integers. negative integer. • Pick a counter color for 3. 4(-3) positive and negative integers 4. 1(-7) • The first number is the amount of sets you will have 5. 5(-2) LET’S TRY IT OUT!!! Using a Number line Remember that multiplication is the same as repeated -2 -2 -2 -2 addition. The multiplication -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 expression 4(-2) in the Mini Lab means that -2 is used as an addend four times. Multiplying Integers with Different Signs • The product of two integers with different signs is negative • Examples: 6(-4) = -24 -5(7) = -35 Multiplying Integers with Different Signs • 3(-5) 3(-5) = -15 The integers have different signs. The product is negative. • -6(8) -6(8) = -48 The integers have different signs. The product is negative. Multiplying Integers with Same Signs • The product of two integers with the same signs is positive • Examples: • 2(6) = 12 • -10(-6) = 60 Multiplying Integers with Same Signs • -11(-9) The integers have same signs. The product is positive. -11(-9) = 99 • (-4)2 (-4)2 = (-4)(-4) There are two factors of -4. = 16 The product is positive. Your Turn • -12(-4) • (-5)2 • (-2)3 Simplify and Evaluate Expressions • Simplify -2(3x) -2(3x) = (-2 * 3)x Associative Property of Multiplication = -6x Simplify • Evaluate pqr if p = -3, q = 4, and r = -1 pqr = (-3)(4)(-1) Replace p with -3, q with 4, and r with -1 = (-12)(-1) Multiply -3 and 4 =12 Multiply -12 and -1 Your Turn • Simplify -5(2y) • Evaluate xyz if x = -7, y = -4, and z = 2 3-7 Dividing Integers • For the first activity we are going to need the following items: • Some type of counter Counter can be anything • 1 Paper towel with different colors: M & M’s, Skittles, Reese’s Pieces, etc. Mini Lab • We are going to use the counters similar to how we used them when Your Turn multiplying integers. This time we are going to use the steps to find -10 . 5 • -6 • Place 10 negative counters on your 2 towel • Separate the counters into 5 equal groups • -12 • There are 2 negative counters in each 3 group. So, -10 = -2. 5 Division and Multiplication Relationship Division of integers is related to multiplication. When finding the quotient of two integers, you can use a related multiplication sentence. -12 2(-6) = -12 = -6 The factor is in 2 … is the quotient in the multiplication 4(-5) = -20 -20 the division sentence… = -5 4 sentence Division and Multiplication Relationship Since multiplication and division sentences are related, you can use them to find the quotient of integers with different signs. different signs -72 8(-9) = -72 = -9 8 -8(-9) = 72 72 = -9 -8 different signs Dividing Integers with Different Signs • The quotient of two integers with different signs is negative • Examples: 33 = -3 -64= -8 -11 8 Dividing Integers with Different Signs • 80 • -55 -10 The integers have different signs. 11 The integers have different signs. 80 = -8 -55 = -5 -10 The quotient is negative. 11 The quotient is negative. Your Turn • 20 -4 • -81 9 • -45 9 Dividing Integers with Same Signs • The quotient of two integers with the same signs is positive • Examples: 15 = 3 -21 = 7 5 -3 Dividing Integers with Same Signs • -14 The integers have same signs. -7 -14 -7 =2 The product is positive. Your Turn • -24 -4 • -9 -3 • -28 -7 Ticket out Door Page 571 Lesson 3-6 & 3-7 #2-28 even and #2-32 even

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posted: | 5/29/2012 |

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