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Multiplying Monomials

Multiplying Monomials. Lesson 7-1: Multiplying Monomials SOL A.2a. Objective. Multiply monomials Simplify expressions involving monomials. Vocabulary!. Monomial:

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Multiplying Monomials

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  1. Multiplying Monomials Lesson 7-1: Multiplying Monomials SOL A.2a

  2. Objective • Multiply monomials • Simplify expressions involving monomials.

  3. Vocabulary! • Monomial: • A monomial is a number, a variable, or the product of a number and one or more variables with nonnegative integer exponents. It has only ONE term. • Constant: • A constant is a monomial that is a real number.

  4. Practice! • Determine whether each expression is a monomial. • 10 • Yes; this is a constant, so it is a monomial. • f + 24 • No; this expression had addition, so it has more than one term. • h2 • Yes; this expression is a product of variables. • j • Yes; single variables are monomials.

  5. Product of Powers

  6. Practice! • Simplify each expression. • (6n3)(2n7) = (6 ● 2)(n3● n7) = (6 ● 2)(n3 + 7) = 12n10 • (3pt3)(p3t4) = (3 ● 1)(p ● p3)(t3● t4) = (3 ● 1)(p1 +3)(t3 + 4) = 3p4t7

  7. Power of a Power

  8. Practice! • Simplify. • [(23)2]4 = (23 ● 2)4 = (26)4 = 26 ● 4 = 224 or 16,777,216

  9. Power of a Product

  10. Simplify Expressions • To simplify a monomial expression, write an equivalent expression in which: • Each variable base appears exactly once • There are no powers of powers • All fractions are in simplest form

  11. Practice! • Simplify. • (3xy4)2[(-2y)2]3 = (3)2x2(y4)2(-2)6y6 = 9x2y8(64)y6 = 9(64)x2● y8● y6 = 576x2y14

  12. Time to Work Together! • Find ONE partner and work on page 404 – 405 (1 – 59 odd).

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