Lecture 3: Operations on Real Numbers : Lecture 3: Operations on Real Numbers Josh C. Shott
Objectives : Objectives Simplify arithmetic operations using the order of operations.
Apply the order of operations to simplifying algebraic expressions. Algebra Lecture 3 by Josh C. Shott
Order of Operations : Order of Operations arenthesis The inner most grouping symbols, can include ( ) [ ] { } and fraction bars Algebra Lecture 2 by Josh C. Shott Please Excuse My Dear Aunt Sally P xponents E Evaluate all exponents in order from left to right. ultiply M D ivide Perform all multiplication and division operations in order from left to right. dd A S ubtract Perform all addition and subtraction operations in order from left to right.
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions: P E MD AS P E MD AS P E MD AS
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions: P E MD AS P E MD AS
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions: P E MD AS
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Algebraic Expressions : Algebraic Expressions algebraic expressions Arithmetic expressions with the possibility that one or more of the numbers are unknown.
Unknown quantities are represented with by a variable, usually a lower case letter.
The field properties apply to algebraic expressions. We know this because they were defined as algebraic expressions in Lecture 2.
Therefore the order of operations apply to algebraic expressions also, we just have to take into account that one or more numbers are represented by a symbol instead of the actual number. Algebra Lecture 3 by Josh C. Shott
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Practice Examples : Practice Examples Algebra Lecture 3 by Josh C. Shott Evaluate the following expressions:
Slide 17 : ? Thank you for your time Algebra Lecture 3 by Josh C. Shott