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7.1 Multiplying Monomials

7.1 Multiplying Monomials. Monomial - a number, a variable or a product of a number and one or more variables. Monomials do not have variables in the denominator . A real number is a monomial called a constant. Example 1 – Determine whether the following expressions are monomials. a. 10.

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7.1 Multiplying Monomials

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  1. 7.1 Multiplying Monomials

  2. Monomial - a number, a variable or a product of a number and one or more variables.

  3. Monomials do not have variables in the denominator. A real number is a monomial called a constant.

  4. Example 1 – Determine whether the following expressions are monomials. a. 10 yes, this is an example of a constant b. x + y no, this expression involves the addition not the product of variables c. x yes, a single variable is a monomial no, cannot have variables in the denominator d.

  5. Fill out Frayer Model with your partner

  6. Homework p. 361 14-19

  7. 7.1 Multiplying Monomials (Day 2) A number or variable with an exponent is called a power. 3 is the base; 2 is the exponent x is the base; 3 is the exponent

  8. The exponent tells you how many times to use the base as a factor.

  9. Rules of Exponents: Product of Powers: when multiplying powers with like bases add exponents.

  10. Example 1 – Simplify Group coefficients and variables Product of Powers Simplify

  11. Try - Simplify:

  12. Rules of Exponents: 2. Power of a Power: to find the power of a power multiply exponents.

  13. Example 2 – Simplify

  14. Try

  15. Rules of Exponents: 3. Power of a Product: to find the power of a product find the power of each factor and multiply.

  16. Example 3 – Simplify

  17. Try

  18. Homework: Page 361 20 - 28

  19. 7.1 Multiplying Monomials Day 3

  20. Simplifying Monomial Expressions: • Each base appears exactly once, • There are no powers of powers, and • All fractions are in simplest form

  21. Example 1: Simplify

  22. Try:

  23. Do the online Self-Check Quiz for 7.1 with your partner. When you complete the quiz click the “check it” button. Fill in the boxes to e-mail results. Your Name: partner’s names Your E-mail Address: Algebra E-mail results to: vomastekla@southfield.k12.mi.us

  24. Homework: Page 362 31 – 34, 39 & 40

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