Presentation on theme: "Algebraic Expressions and Integers"— Presentation transcript:
1 Algebraic Expressions and Integers Pre-Algebra Chapter 1Algebraic Expressions and Integers
2 Section 1-1 Variables and Expressions is a letter or a symbol that replaces a number.VariableVariable expressionis a mathematical phrase that uses variable, numbers and operation symbols.Numerical expressionis a mathematical phrase that uses numbers and operation symbols.
3 ExamplesIdentify each expression as a numerical expression or a variable expression. For a variable expression, name the variable.7 x 38 + mx + y27/95mk
4 Keywords Addition Subtraction Multiplication Division TOTAL SUM MORE THANINCREASED BYDIFFERENCEFEWER THANLESS THANDECREASED BYPRODUCTTIMESTWICEQUOTIENTDIVIDED BY
5 1-2 The Order of Operations MDASWork inside grouping symbolsSolve all exponentsMultiply & Divide left to rightAdd & Subtract left to rightRemember order of operation by the following saying:Please Excuse My Dear Aunt Sally
6 ExamplesSimplify the following numerical expressions using the order of operations.a (2)b. 12/3-1(2)+1c [(5+2)-1]
8 1-4 Integers and Absolute Value Numbers that are the same distance from zero on a number line but in opposite directions are called opposites.Integers are the set of whole numbers and their opposites.A number’s distance from zero on a number line is called its absolute value.
9 1-5 Adding IntegersWhen adding opposites, the sum is zero
10 Rules for Adding Integers Same Signs:The sum of two positive integers is positive. The sum of two negative integers is negative.Different Signs:To add two integers with signs, find the difference of their absolute values. The sum has the sign of the integer with the greater absolute value.
11 How to remember rules for Adding integers Same SignsAddDifferent SignsSubtract