Understanding Algebraic Expressions and Operations
Introduction to algebraic expressions, variables, order of operations, and evaluating expressions. Learn about natural numbers, whole numbers, and rational numbers. Examples and explanations provided to help you grasp essential concepts in algebra.
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Presentation Transcript
I. Algebraic Expressions Vocabulary: 1. Variable letter that represents one or more numbers 2. Algebraic expression an expression that contains at least 1 variable 3. Evaluate substituting a number for each variable and calculate 4. Natural numbers numbers used for counting (1, 2, 3, and so on) 5. Whole numbers natural numbers and zero (0, 1, 2,and so on) 6. Rational numbers set of numbers that include natural and whole numbers
II. Order of Operations The order in which we solve all math expressions Please - Parentheses (and all other grouping symbols) Excuse - Exponents My Dear - Multiplication, Division (left to right) Aunt Sally - Addition, Subtraction (left to right)
7 2 + [7 + 3(5 2)] 4 2 7 2 + [7 + 3(3)] 4 2 7 2 + [7 + 9] 4 2 7 2 + 16 4 2 14 + 16 4 2 14 + 4 2 14 + 8 22
Examples: 1. 36 (4 + 5) 2. 24 (12 + 3) 5 3. 4 + 6 2 1
III. Evaluating Substitute the given number for the variables listed You cannot evaluate without being given the value Once you substitute the values into the problem, solve using the order of operations t + 3 + t for t = 4 4 + 3 + 4 7 + 4 11
Examples: 1. 14 (b + 5) for b = 3 2. s(t 4) for s = 4, t = 8 3. x + 5 for x = 7 2 3
