Mastering Integer Operations: Multiplying, Dividing, and Evaluating Expressions
This lesson focuses on key concepts in multiplying and dividing integers, including how to determine the sign of the product or quotient based on the signs of the integers involved. Understand the steps of multiplying and dividing integers, learn order of operations, and practice evaluating algebraic expressions. Explore real-world examples to solidify your understanding. Homework assignments will reinforce your skills, allowing you to master the evaluation of expressions with integers and exponents.
Mastering Integer Operations: Multiplying, Dividing, and Evaluating Expressions
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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