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Simplifying Multiplication with the Associative Property of Rational Numbers

In this lesson, you will learn how to simplify multiplication problems with rational numbers using the associative property of multiplication. We'll explore how to rewrite complex problems for easier mental calculations. By applying the order of operations and the principles of grouping, you can manage calculations more effectively. Examples will illustrate how to regroup factors for a simpler approach to multiplication. Understand the concept deeply to enhance your problem-solving skills in mathematics and tackle multiplication with confidence!

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Simplifying Multiplication with the Associative Property of Rational Numbers

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Presentation Transcript

  1. Can you multiply these numbers mentally? x ( x 14) How can you make a multiplication problem easier?

  2. In this lesson you will learn to rewrite multiplication problems with rational numbers by using the associative property of multiplication.

  3. Order of Operations • Grouping Symbols • Exponents • Multiplication/Division worked left to right • Add/Subtract worked left to right

  4. Associative Property of multiplication 3 x 4 x 5 3 x 4 x 5 = 3 x 20 12 x 5 = 60 = 60 (a x b) x c = a x (b x c)

  5. Order of Operations (3 + 4) x 5 = 3 + (4 x 5) 35 ≠ 60

  6. x ( x 14) = 1 1 ( x ) x 14 = 2 1 x 14 = 7

  7. x (- x 25) = 1 1 ( x -) x 25 = 4 1 - = -6 = -6.25 x -25 =

  8. In this lesson you have learned to rewrite multiplication problems with rational numbers by using the associative property of multiplication.

  9. Rewrite the multiplication the problem using the associative property and then solve: - x ( x 10) = (- x ) x 10 = 5

  10. Rewrite the multiplication using the associative property and solve: (24 ÷ ) ÷ x x x

  11. Rewrite the multiplication the problem using the associative property and then solve: - x ( x 12) = (-20 x ) x =

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