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Published byChester Arthur Morrison Modified over 8 years ago
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Mini Lesson on Quotients of Monomials TSWBAT: Simplify quotients using the laws of exponents
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Lesson ●When you multiply fractions, you use the multiplication rule for fractions. For Example: Multiplication Rule for Fractions: Let p,q,r and s be real numbers with q≠0 and s≠0. Then….. ●Because equality is symmetric, this rule can be rewritten as: ●If r=s, you can replace s by r, obtaining This proves the following rule of simplifying fractions.
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Continue of the Lesson Rule for Simplifying Fractions: Let p,q and r be real numbers with q≠0 and r≠0. Then…….. ●Remember your laws of exponents that you have in past notes. You might need to look back at them if you forgot the 5 Laws.
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Multiplying and Simplifying Fractions Examples Classwork: pg. 213 written exercises (2-8) even
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Mini Lesson on Zero and Negative Exponents TSWBAT: Simplify expressions involving the exponent zero and negative integral exponents
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Lesson ●If n is a positive integer and a≠0: aº=1 aº=1 ●The expression 0º is not defined. ●A negative Exponent makes one flip the term in front of the negative exponent and make the exponent positive. ●The domains of all variables in any algebraic expression are automatically restricted, so that denominators of fractions and bases of powers with negative or zero exponents will not be zero.
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Zero and Negative Exponents Examples Class work: pg.218 written exercises (2-8) even
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Mini Lesson on Scientific Notation TSWBAT: Use scientific notation and significant digits
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Background In scientific work, you meet very large and very small numbers. To make such numbers easier to work with, you can write them in scientific notation.
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Lesson In scientific notation, a number is expressed in the form: m · 10ª Where: 1 ≤ m < 10, and a is an integer. ●The digits in the factor m should be significant. A significant digit of a number written in decimal form is any nonzero digit or any zero that has a purpose. Ex: 4006 = 4.006 · 10³
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Continue of the Lesson For a number such as 2300 it is not clear which, if any, of the zeros are significant. Ex: 2.3 · 10³ = 2300 Class work: pg. 223 written exercises (2-8) even
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