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Multiplying and Dividing Monomials CCS: A-CED.1

Multiplying and Dividing Monomials CCS: A-CED.1. A-CED.1. CREATE equations and inequalities in one variable and USE them to solve problems. INCLUDE equations arising from linear and    quadratic functions, and simple rational and exponential functions. E.Q:.

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Multiplying and Dividing Monomials CCS: A-CED.1

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  1. Multiplying and Dividing MonomialsCCS: A-CED.1

  2. A-CED.1 • CREATE equations and inequalities in one variable and USE them to solve problems. INCLUDE equations arising from linear and    quadratic functions, and simple rational and exponential functions.

  3. E.Q: • 1-How are algebraic properties used to create expressions? • 2- How do we use the “Laws of Exponents” when we multiply and divide monomials?

  4. Mathematical Practice 1. Make sense of problems, and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments, and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for, and make use of, structure. 8. Look for, and express regularity in, repeated reasoning.

  5. Objectives: • Understand the concept of a monomial • Use properties of exponents to simplify expressions

  6. 5, -21, 0 2x, 4ab2, -7m3n8 Monomial An expression that is either: • a constant • a variable • a product of a constant and 1 or • more variables

  7. Multiply (a3b4)(a5b2) (a3a5)(b4b2) Group like bases Which property was applied?

  8. Multiply (5a4b3)(2a6b5)

  9. Multiply (5a4b3)(2a6b5) Multiply the coefficients

  10. Try This! 1. (a2b3)(a9b) 2. (3a12b4)(-5ab2)(a3b8)

  11. Divide a7b5 a4b

  12. Divide -30x3y4 -5xy3

  13. Divide 2m5n4 -3m4n2

  14. 2. - 3x10y7 6x9y2 Try This! 1. m8n5 m4n2

  15. Power of a Product (ab)2 (ab)3 (ab)(ab)(ab) (ab)(ab) (aaa)(bbb) (aa)(bb) a3b3 a2b2 Rule 4: (xy)n = xnyn Multipy the exponent outside the () times each exponent inside the ().

  16. Power of a Product (a9b5)3 (4m11n20)2 Rule 4: (xy)n = xnyn

  17. x y x y x y x y x4 y4 = • • • n xn yn x y = Rule 5: 4 x y

  18. Try This! 1. (2a4)3 2. (4xy5z2)4 Rule 4: (xy)n = xnyn

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