Understanding Integer Multiplication: Rules and Applications
This educational resource provides a comprehensive overview of the rules for multiplying integers. Key concepts include the property of multiplication yielding the same product regardless of the order (commutative property), the impact of positive and negative integers, and the distributive property. With practical examples and clear explanations, learners will grasp the importance of these rules in solving mathematical problems. Conclude with a quiz to reinforce understanding. Remember, practice makes perfect in mastering integer multiplication!
Understanding Integer Multiplication: Rules and Applications
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Presentation Transcript
Rule #1: Integers can be multiplied in any order without affecting the product • What is the product of 3 x 2 or 3 groups of 2? • What is the product of 2 x 3 or 2 groups of 3? • Integers are similar: • What is the product of 3 x (-2)? • This is like saying 3 groups of -2 • What about -3 x 2? There is no such thing as -3 groups of 2!
Rule #2: The product of a positive and a negative is negative. • In the previous question we couldn’t make -3 groups of 2. • BUT, we know that any positive number multiplied by any negative number will have a negative product. • So, -3 x 2 = -6, just like 3 x -2 = -6 • Think about a number line. You skip -3 two times.
Rule #3: The product of two positives or two negatives is positive • You already know that 3 x 2 = 6, but why does -3 x -2 = 6? • Look at this pattern: • 3 x (-2) = -6 • 2 x (-2) = -4 • 1 x (-2) = -2 • 0 x (-2) = 0 • -1 x (-1) = 2 • -2 x (-2) = 4 • - 3 x (-2) = ?
Rule #4: The distributive property applies to multiplication of integers just like whole numbers • The formula for the distributive property is a(b + c) = ab + ac • For example • 2 x 24 = 48 • 2(20) + 2(4) = 40 + 8 = 48 • 2 x -37 = ? • 2(-30) + 2(-7) = -60 + -14 = -74
Assignment and Quiz • Using these rules complete the assignment • If you have questions ask Mrs. George • When you have finished your assignment as Mrs. George for the answer sheet. • Correct your assignment. • If you scored 90% or higher you may get a computer to complete the quiz. • If you scored less than 90% you must do your correction. • Quiz: Go to www.thatquiz.org • At the bottom right corner type in the quiz code: DV9HRUPC • Click on your name…Go!
