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Math 8 Integers

Math 8 Integers. Multiplication of Integers. Manipulatives such as integer tiles can be used to demonstrate the multiplication process of integers. Shaded squares represent positive integers unshaded squares represent negative integers

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Math 8 Integers

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  1. Math 8 Integers Multiplication of Integers

  2. Manipulatives such as integer tiles can be used to demonstrate the multiplication process of integers. • Shaded squares represent positive integers • unshaded squares represent negative integers • The quantity of integer tiles remaining represents the answer, while the shade represents their value

  3. Multiplying using a Positive Multiplier • Example: Use integer tiles to evaluate the expression (+2) x (+3) • Step 1 • Determine how many integers are in each set. This is represented by the second number in the expression • The second integer, (+3), indicates there will be 3 positive (shaded) tiles in each set

  4. Multiplying using a Positive Multiplier • Step 2 • Determine how many sets to draw. • This is represented by the first number in the expression. • The first integer, (+2), indicates there will be two sets of three positive (shaded) tiles.

  5. Multiplying using a Positive Multiplier • Step 3 • Calculate the product. • The shade and the number of the tiles represent the product • Six positive tiles are shown. The product is (+6) • (+2) x (+3)= (+6)

  6. Your Turn • Evaluate (+2) x (-3) • Solution • The second integer, (-3), indicates there will be 3 negative (unshaded) tiles in each set. • The first integer, (+2), indicates there will be 2 sets of 3 negative (unshaded) tiles • The shade and the number of tiles represent the product. • 6 negative tiles are shown. The product is (-6)

  7. Multiplying Using A Negative Multiplier • The associative property says that the sum or product of a set of numbers is the same no matter how the numbers are arranged. • For example, 2 x 3= 6 and 3 x 2= 6. • When given an expression with a negative multiplier, use the associative property to make it a positive multiplier. Then, evaluate the expression

  8. Example • Use integer tiles to evaluate the expression (-5) x (+2) • Solution • Step 1 • Use the associative property to create a positive multiplier • (-5) x (+2) is the same as (+2) x (-5) • Step 2 • Determine how many integers are in the set. • The second integer, (-5), indicates there will be 5 negative (unshaded) tiles will be in each set

  9. Step 3 • Determine how many sets to draw. • The first integer (+2), indicates there will be 2 sets of 5 negative (unshaded) tiles • Step 4 • Calculate the product • The shade and the number of the tiles represent the product. • 10 negative tiles are shown. The product is -10

  10. Multiplying Two Negative Integers • Follow these steps when multiplying two negative integers using tiles: • For example: use integer tiles to evaluate the expression (-2) x (+3) • Step 1 • Determine how many zero pairs are in the set. This is represented by the second integer. • The second integer, (-3), indicates there will be three zero pairs in each set.

  11. Multiplying Two Negative Integers • Step 2 • Determine how many sets of zero pairs to draw. This is represented by the first integer. • The first integer, (-2), indicates there will be two sets of zero pairs

  12. Multiplying Two Negative Integers • Step 3 • Calculate the product. The first integer indicates the number of sets to take away while the second integer indicates which sets to take away. • The first integer, (-2), indicates the number of sets to take away. The second integer, (-3), indicates which sets to take away • Take away 2 sets of (-3) tiles

  13. The shade and the number of the remaining tiles represent the sum. • Six positive tiles remain. The product is (+6)

  14. Practice • Page 248 • # 1, 2, 3, 4, 6, 8 • When finished grab worksheet

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