Addition, Subtraction, and Multiplication Chapter 4 Sections 1-6.

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Presentation transcript:

Addition, Subtraction, and Multiplication Chapter 4 Sections 1-6

Simplify the expression within the grouping symbols. Then simplify powers. Then simplify products and quotients in order from left to right. Then simplify sums and differences in order from left to right. In other words, follow the Acronym PEMDAS: Please Excuse My Dear Aunt Sally Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction

 Monomial - an expression that is either a number, a variable, or the product of a number and one or more variables  Polynomial - the sum of one or more monomials  Binomial - a polynomial with two terms  Trinomial - a polynomial with three terms  Coefficient - the numerical value being multiplied in front of the variable  Degree  Monomial - the sum of the exponents of each variable  Polynomial - the greatest of the degrees of a polynomial’s terms after it has been simplified.

Line up the like terms of each polynomial, keeping the sign with each term. Like Terms – monomials with the same variables raised to the same exponents Add or subtract the coefficients of like terms, based on the sign of the term Notice we subtract each term of the second polynomial.

“Popcorn rule” # 1: The Product of Powers Same base means you add the exponents. Examples:

3x Find the total surface area of this object. Remember: total surface area is the sum of the area of each face of the figure x x x x

3x Total Surface Area = 123x x 2 = 46x 2 Find the total surface area of this object. Remember: total surface area is the sum of the area of each face of the figure The surface area of each “panel” or side face of the figure is 3xx, or 3x 2. There are 12 of these. The area for 1 square of the top and bottom of the figure is xx, or x 2. There are 10 of these. x x x x x 3x x x

“Popcorn rule” # 2: The Power of Powers Two exponents next to each other means you multiply them. Example: “Popcorn rule” # 3: The Power of a Product Raise each factor of the product to the power. Example: