Properties of Real Numbers

Slides:



Advertisements
Similar presentations
Algebra 1 Glencoe McGraw-Hill JoAnn Evans
Advertisements

Exponents, Parentheses, and the Order of Operations.
Section 1.5 Order of Operations Crud!. PEMDAS  Parenthesis (_)  Exponents b E  Multiply and Divide * and /  Go from left to right  Add and Subtract.
Order of Operations Chapter 1 Section 2 Part 1 and Part 2.
Chapter 6 Radical Functions and Rational Exponents.
Absolute Value The absolute value of a real number a, denoted by |a|, is the distance between a and 0 on the number line. 2– – 1– 3– 4– 5 | – 4|
Base: the number that is multiplied Power: the number that is expressed as the exponent Exponent: tell how many times the base is used as a factor Standard.
Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.
Multiplying and Factoring
Complex Numbers (and the imaginary number i)
Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|
SUBTRACTION OF REAL NUMBERS CHAPTER 1 SECTION 7 MTH Algebra.
Divide. Evaluate power – 3 = – 3 EXAMPLE – 3 = 3 2 – – 3 = 6 – 3 Multiply. Evaluate expressions Multiply and divide from.
Chapter 8 – Exponents and Exponential Functions 8.1/8.3 – Multiplication and Division Properties of Exponents.
PROPERTIES OF EXPONENTS

1. Substitute a number for the variable. 2. Perform all operations. 3. Simplify the result. Steps to EVALUATE AN EXPRESSION…
1-2 Order of Operations and Evaluating Expressions.
Chapter 4 Powers and Roots. Real Numbers Rational Review Natural Numbers Whole Numbers Integers Fractions Repeating or Terminating Decimals New Perfect.
Quiz #1 1.7g g c – 8 +5c – 8 3.8x + 9 – 6x – 7 4.3x x - 9.
Objective - To multiply integers. Signs are the same Signs are different Simplify. 1) 2) 3) 4) 5) 6)
September 13, 2012 Working with Integers Warm-up: 1. Identify the property for: 3(1) = 3 2. Simplify: 6 + 3(9 – 1) + 2  Translate into an algebraic.
The Distributive Property Chapter 1.6. Review multiplication.
9.3 Order of Operations.
The Order of Operations Chapter Evaluate inside grouping symbols ( ), { }, [ ], | |, √ (square root), ─ (fraction bar) 2.Evaluate exponents 3.Multiply.
Analyzing Equations and Inequalities Objectives: - evaluate expressions and formulas using order of operations - understand/use properties & classifications.
AIMS Math Prep Jan 9-20 Evaluating expressions, simplifying expressions, compound interest formula.
1-2 Order of Operations Objective: Use the order of operations to evaluate expressions.
Chapter 4, 5, and 13 Notes. 4-7 Exponents and Multiplication ZTo multiply numbers or variables with the same base, add the exponents. ZExamples:
Unit 4 Review!. 1. Write the expression Sum of 9 and z.
ORDER OF OPERATIONS. 1.Perform any operations with grouping symbols. 2.Simplify powers. 3.Multiply and divide in order from left to right. 4.Add and subtract.
Simplify MultiplyDivide Add & Subtract Proportion.
Chapter Sections 1.1 – Study Skills for Success in Mathematics
Bell Ringer Solve. 1. 6x – 8 = -4x + 22
Rewrite a linear equation
Adding and subtracting rational expressions:
8 – Properties of Exponents No Calculator
7-1 Multiplication Properties of Exponents
WARM UP Page 9 “Check Skills You’ll Need” # 1 – 12.
So, to simplify an expression using order of operations, you should:
WARM-UP 8/29: Simplify: ) )
Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.
Multiplying Real Numbers
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Learn to evaluate expressions with exponents.
Imaginary Numbers.
Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.
Add and Subtract Rational Expressions
Lesson 2.1 How do you compare positive and negative numbers?
Exponents & Scientific Notation Test Corrections
Exponential Functions
Chapter 1 / Whole Numbers and Introduction to Algebra
Lesson 2.1 How do you order integers?
or write out factors in expanded form.
1.3 Solving Linear Equations
6.2ARational Exponents Fraction Exponents.
Multiplying and Factoring
Objective Use multiplication properties of exponents to evaluate and simplify expressions.
You replace it with its simplest name
Exponents, Parentheses, and the Order of Operations
1-9 Order of operations and distributive property
Learn to evaluate expressions with exponents.
Multiplying Powers with the Same Base
Foundations for Algebra
ADD exponents or write out factors in expanded form.
4-2 Warm Up Problem of the Day Lesson Presentation
To Start: 15 Points Is the first number divisible by the second? 142,681 by 3 423,675 by 9 5,658,451 by 3 No Yes No.
Go over Homework.
Polynomial Functions and Inequalities
Presentation transcript:

Properties of Real Numbers Chapter 2 Properties of Real Numbers

LT1ab - Add/Subtract Real #’s

LT1ab - Add/Subtract Real #’s Evaluate each expression 12 + 15 -12 - 15

LT1ab - Add/Subtract Real #’s Evaluate each expression 12 - 15 -12 + 15

LT1ab - Add/Subtract Real #’s Evaluate each expression -2.95 + 5.76 - 88.6 1/3 - 2/5 + 14/30

LT1c - Multiply Real #’s

LT1d - Divide Real #’s

LT1cd - Multiply/Divide Real #’s Sign Positive Negative + -

LT1cd - Multiply/Divide Real #’s Evaluate each expression (11)(-5) (-4)(3)(-6) (-7)(-15)(-2)

LT2 - Distributive Property Simplify using the Distributive Property 3(3 + 4) 2(x + 7) -4(2 - 8) 2x(3x - 2y)

LT3 - Order of Operations G - Grouping symbols E - Exponents MD - Multiply and divide (from left to right) AS - Add and subtract (from left to right)

LT3 - Order of Operations Evaluate the expression

LT3 - Order of Operations Evaluate if x = 5 and y = 2

LT3 - Order of Operations Evaluate each expression with the given value of x 3x + 7 - (2x + 5), x = 13 -¼(6x + 20), x = 2 x3 - 13, x = -2

LT4 - Simplify Expressions Simplify the following expressions 3(x + 2 - 5y) - 2(x - y) -(-x - y - z) - (-x - y - z) 3x2y + 2xy + 3xy2 - 2yx - 3x2y - 3xy2