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Monomial - a number, a variable or a product of a number and one or more variables.
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Monomials do not have variables in the denominator. A real number is a monomial called a constant.
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Example 1 – Determine whether the following expressions are monomials. a. 10yes, this is an example of a constant b. x + yno, this expression involves the addition not the product of variables c. x yes, a single variable is a monomial d. no, cannot have variables in the denominator
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Fill out Frayer Model with your partner
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Homework p. 361 14-19
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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 7.1 Multiplying Monomials (Day 2)
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The exponent tells you how many times to use the base as a factor.
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Rules of Exponents: 1.Product of Powers: when multiplying powers with like bases add exponents.
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Example 1 – Simplify Group coefficients and variables Product of Powers Simplify
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Try - Simplify:
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Rules of Exponents: 2. Power of a Power: to find the power of a power multiply exponents.
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Example 2 – Simplify
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Try
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Rules of Exponents: 3. Power of a Product: to find the power of a product find the power of each factor and multiply.
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Example 3 – Simplify
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Try
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Homework: Page 361 20 - 28
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7.1 Multiplying Monomials Day 3
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Simplifying Monomial Expressions: Each base appears exactly once, There are no powers of powers, and All fractions are in simplest form
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Example 1: Simplify
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Try:
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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
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Homework: Page 362 31 – 34, 39 & 40
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