Mini Lesson on Quotients of Monomials TSWBAT: Simplify quotients using the laws of exponents

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.

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.

Multiplying and Simplifying Fractions  Examples Classwork: pg. 213 written exercises (2-8) even

Mini Lesson on Zero and Negative Exponents TSWBAT: Simplify expressions involving the exponent zero and negative integral exponents

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.

Zero and Negative Exponents  Examples Class work: pg.218 written exercises (2-8) even

Mini Lesson on Scientific Notation TSWBAT: Use scientific notation and significant digits

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.

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 = · 10³

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