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Understanding Integer Multiplication Rules and Properties

Learn about multiplying integers, rules for positive and negative numbers, identity properties, and practical applications through examples and explanations. Engage with interactive exercises to reinforce understanding.

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Understanding Integer Multiplication Rules and Properties

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  1. Multiplying Integers

  2. Warm Up • 14(-2) 4. -15(9) • (-2)(50) 5. -3(-100) • -18(0) 6. -6(32)

  3. Multiplying Integers • Multiply the absolute values of the integers. • If both integers have the same sign, the product is positive. • If they have different signs, the product is negative.

  4. Henry multiplied two negative numbers. Franklin multiplied a negative and a positive number. Franklin claims his product is greater than Henry’s because both Henry’s numbers are negative and negative numbers are less than positive numbers. What would you tell Franklin? Explain.

  5. Solve (-5)(-3) = (-4)12 = (-5)(-10) = (-17)(0) =

  6. The Identity Property of Addition says that the sum of any number and zero is equal to the original number. a + 0 = a The Zero Property of Multiplication says that the product of any number and zero is equal to zero. a x 0 = 0

  7. Signs of Factor and ProductsComplete the Table

  8. Flora made 7 withdrawals of $75.00 each from her bank account. What was the overall change in her account?

  9. A football team lost 5 yards on each of 3 plays. Find the team’s change in position after the 3 plays.

  10. The temperature dropped 2⁰F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

  11. Exit Ticket • -12(-1) = 4. (-20)(9) = • 14(-2) = 5. (-5)(0) = • (-18)(2) = 6. (-7)(-8) = • The temperature dropped 3⁰F every hour for 6 hours. How much did the temperature change in all? Express your answer as an integer. • Every Friday for 6 weeks, Jason withdrew $20.00 fro his savings account. How much was the overall change in his account? Express your answer as an integer.

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