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Examples. 7 =. 7. 10 =. 10. -100 =. 100. 5 - 8 =. -3= 3. Bellringer. Solve: 5 - -6 + 10 – (4) + 2 – 18 + (-1) =. Bellringer. Solve: 5 - -6 + 10 – (4) + 2 – 18 + (-1) =. Answer: 0. Go over homework. Ch. 1-4 Multiplying and Dividing Integers.
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Examples 7 = 7 10 = 10 -100 = 100 5 - 8 = -3= 3
Bellringer Solve: 5 - -6 + 10 – (4) + 2 – 18 + (-1) =
Bellringer Solve: 5 - -6 + 10 – (4) + 2 – 18 + (-1) = Answer: 0
Ch. 1-4 Multiplying and Dividing Integers Big Rock Steps for Multiplying & Dividing Integers 1. Count negative signs 2. If even – answer is positive 3. If odd – answer is negative Multiplying & Dividing Integers: -The product of two integers with the same sign is positive. Example: 2 * 7 = 14 -2 * -7 = 14 -The product of two integers with different signs is negative. Example: 2 * -7 = -14 -2 * 7 = -14 -The quotient of two integers with the same sign in positive. Example: 8/2 = 4 -8/-2 = 4 -The quotient of two integers with different signs is negative. Example: -8/2 = -4 8/-2 = -4
Example 1: Multiply the following integers. a.) 3 * -6 b.) -4 * -5 c.) -2 * 3 * -4 -18 0- 20 E+ 24 E+ Example 2: Divide the following integers. a.) -18/-2 b.) 12/-6 c.) -24/2 9 E+ -2 o- -12 O- Example 3: Evaluate each algebraic expression below. Use order of operations! p = 4 t = -2 r = -3 a.) pt + (p – t) * r b.) 2p + pr – t
Example 3: Evaluate each algebraic expression below. Use order of operations! p = 4 t = -2 r = -3 a.) pt + (p – t) * r b.) 2p + pr – t 4(-2) + (4 –(-2)) * -3 2(4) + 4(-3) – (-2) 4(-2) + 6 * -3 = 8 + 4(-3) – (-2) = 8 + -12 – (-2) = -8 + 6 * -3 = -8 + -18 = -4 – (-2) = -4 + 2 = -26 -2
You try one: x = -9 y = -5 z = -3 2x + xy ÷z – 3 2(-9) + (-9)(-5) / -3 - 3 -18 + (-9)(-5) / -3 - 3 -18 + 45 / -3 - 3 -18 + -15 - 3
You try one: x = -9 y = -5 z = -3 2x + xy ÷z – 3 2(-9) + (-9)(-5) / -3 - 3 -18 + (-9)(-5) / -3 - 3 -18 + 45 / -3 - 3 -36 -18 + -15 - 3 -33 - 3
When a negative is in front of a negative. When a negative is in front of a negative with no numbers in between times. Ex: 2(9) + -(-5) = 18 + -(-5) = 18 + 5 = 23
Homework • Textbook pg 22 #10-42 even • Show steps • Even positive • Odd negative E O + -
Evaluate Expressions -n + 5n + 3 when n = -7 -(-7) + 5(-7) + 3 7 + -35 + 3 -25
Evaluate Expressions • 6n + 3 when n= -7 • -3x + x – 2 when x = -4 -39 6
Evaluate Expressions with exponents • x4 when x = -2 16