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1.1 & 1.2 Properties of Real Numbers & Algebraic Expressions

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Presentation on theme: "1.1 & 1.2 Properties of Real Numbers & Algebraic Expressions"— Presentation transcript:

1 1.1 & 1.2 Properties of Real Numbers & Algebraic Expressions
Explain why the sum or product of two rational numbers is rational, that the sum of a rational number and an irrational number is irrational, and that the product of a nonzero rational number and an irrational number is irrational Interpret parts of an expression such as terms, factors, and coefficients

2 Order of Operations Review
M D A S

3 Properties Review Definitions and properties allow us to manipulate numbers and algebraic expressions. Be sure you know: opposite reciprocal

4 Be sure you know:

5 Mathematical Terms & Their Meanings
operation word or phrase addition subtraction multiplication division powers quantities

6 Ex 1 Ex 2 Write an algebraic expression for each phrase.
six more than a number x seven times the quotient of a number y and 3

7 Vocabulary term : an expression that is a number, variable, or the product of a number and one or more variables coefficient : numerical factor of a term constant term : term with no variable like terms : terms with the same variables and exponents

8 Vocabulary evaluate : to substitute a number for each variable in an expression and simplify using the order of operations simplify : to combine all like terms and remove any parentheses

9 Evaluate the expression for

10 Ex 4 Evaluate the expression for
Does the value of the expression change if the parentheses are removed? Explain your reasoning.

11 Simplify each expression.
Ex 5 Ex 6

12 Evaluate the expression for

13 Determine if the work is correct. If not, correct it.
Ex 8 Error Analysis

14 1.1 & 1.2 Concept Check Ex Ex 8 Error Analysis


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