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MJ3

MJ3. Ch 12.6 – Multiplying & Dividing Monomials. Bellwork. Subtract the polynomials (4x + 10) – (3x + 7) (5n 2 + n – 2) – (3n 2 + 2n – 1). Solutions:. x + 3. 2n 2 – n – 1. Assignment Review. Text p. 582 # 12 – 25. Before we begin….

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MJ3

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  1. MJ3 Ch 12.6 – Multiplying & Dividing Monomials

  2. Bellwork • Subtract the polynomials • (4x + 10) – (3x + 7) • (5n2 + n – 2) – (3n2 + 2n – 1) Solutions: x + 3 2n2 – n – 1

  3. Assignment Review • Text p. 582 # 12 – 25

  4. Before we begin… • Please take out your notebook and get ready to work… • In the last lesson we looked at subtracting polynomials… • Today we will focus on monomials and how to multiply and divide them • You will need to know how to do this in order to do the next lesson which is multiplying monomials and polynomials

  5. Objective 12.6 • Students will multiply & divide monomials

  6. Quick Review • A monomial is a number, a variable, or the product of a number and one or more variables Examples: 8, 2a, 3xy, 5x2y3

  7. Quick Review • Exponents – a mathematical notation to denote repeated multiplication Example: Exponent 3 6 It means 6●6●6 Base

  8. Product of Powers Property • To multiply powers with the same base you add the exponents Example: 24●23 = 24+3 or 27 Proof: 2 ● 2 ● 2 ● 2 ● 2 ● 2 ● 2 = 27 Caution: It is expected that you know a number or variable with no exponent has an exponent of 1

  9. Multiplying Monomials • You can use the product of powers property to multiply monomials. • The key is that the monomial must have the same base. Example: -3x2 (4x5) = -12x7 1st Do the numbers: 3(4) = 12 2nd Do the signs: Negative times a positive is Negative 3rd Do the exponents: x2(x5) = x2+5 = x7

  10. Your Turn • In the notes section of your notebook write the example and multiply. Express answer with exponents • 93● 92 • y4 ● y9 • -2m(-8m5) Solutions: 95 y13 16m6

  11. Quotient of Powers Property • To divide powers with the same bases, subtract their exponents Example: Proof:

  12. Your Turn • In the notes section of your notebook simplify using the quotient of powers property 1. 2. 3. Solutions: x7 6w4 53

  13. Summary • In the notes section of your notes summarize the key concepts covered in today’s lesson • Today we discussed: • The Product of Powers Property • What do you do to the exponents? • The Quotient of Powers Property • What do you do to the exponents?

  14. Assignments • Text p. 586 # 15 – 30 Reminder • This assignments is due tomorrow • I do not accept late assignments • Write the problem and your answer

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