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Understanding Integer Multiplication: Models and Rules

Learn how to multiply integers using number lines and counters, explore the impact of different signs, and understand the rules for multiplying integers, including products with zero. Practice multiplying integers with examples.

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Understanding Integer Multiplication: Models and Rules

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  1. Multiplying Integers

  2. Warm Up • 9 x 3 = 5. 6 x 9 = • 7 x 10 = 6. 10 x 23 = • 9 x 8 = 7. 9 x 9 = • 15 x 10 = 8. 10 x 20 =

  3. Multiplying Integers Using a Number LineYou can use a number line to see what happens when you multiply integers.

  4. What do you notice about the product of two integers with different signs?

  5. Modeling Integer Multiplication + Counters representing positive and negative numbers can help you understand how to find the product of two negative integers. –

  6. What do you notice about the sign of the product of two negative integers? What can you conclude about the sign of the product of two integers with the same sign?

  7. Compare the rules for finding a product of a number and zero and finding the sum of a number and zero. a x 0 = 0 a + 0 = a

  8. Find Each Product • -3(5) • (-10)(-2) • 0(-22) • 8(4)

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