1.2 Properties of Real Numbers Activity

Slides:



Advertisements
Similar presentations
Properties of Real Numbers. TYPES OF NUMBERS NATURAL  5, 3, 1, 700, 26 … positives, no fractions WHOLE  0, 1, 1052, 711, … naturals and 0 INTEGERS 
Advertisements

Real Numbers and The Number Line
Properties of Real Numbers
The Real Number System. The natural numbers are the counting numbers, without _______. Whole numbers include the natural numbers and ____________. Integers.
1.2 Properties of Real Numbers Here we will classify real numbers Use the properties to evaluate expressions.
Properties of Addition and Multiplication By Stephanie Lohr.
What is the difference between a line segment and a line?
Math 96A Test 1 Flash Cards.
Real Numbers Week 1 Topic 1.
Chapter 2 Definitions Numbers such as 3 and -3 that are the same distance from 0 but on the opposite side of 0 are called opposites. The set of integers.
1.1 – Real Numbers, Number Operations
Chapter 1: Preliminary Information Section 1-1: Sets of Numbers.
Algebraic Properties Learning Goal: The student will be able to summarize properties and make connections between real number operations.
Chapter 1 Learning Target: 10
Operations: Add, Subtract, Multiply, Divide
PROPERTIES OF REAL NUMBERS 1 ¾ PI.
Warm up Determine if the set finite or infinite: 1. {Even numbers greater than 4, but less than 100} 2. {odd numbers} 3.{Fractions less than 1} is.
Basic Laws Of Math x
1–2: Properties of Real Numbers. Counting (Natural) Numbers {1, 2, 3, 4, 5, …}
Objectives: To evaluate and simplify algebraic expressions.
1 -2 Properties of Real Numbers. Types of Numbers  Often, numbers are grouped or classified as specific types of numbers. We will explore the following.
Properties of Real Numbers
Properties of the Real Number System. FOR ADDITION: The order in which any two numbers are added does not change the sum. FOR MULTIPLICATION: The order.
September 10, 2012 Properties and Integers Warm-up: Order of Operations 1. Simplify (3 – 5) – 4  (Optional) Challenge: Your objective is.
1)12 (–28) 2) –23 + (–15) 3) 28 ÷ ( –12) 4) 0.314, , 0.309, Warm-Up Simplify. Order the numbers from least to greatest ,0.309,0.3131,0.314.
Thinking Mathematically Number Theory and the Real Number System 5.5 Real Numbers and Their Properties.
OTCQ Using [-11, 0) Write its associated: 1) inequality, or 2) set in braces, or 3) number line. (for integers only)
REAL NUMBERS. Real IntegersWhole #’sCounting#’s Rational.
1-1 Properties of Real Numbers
Properties of Real Numbers Algebra A Unit 1, Lesson 4.
Properties of Real Numbers The properties of real numbers allow us to manipulate expressions and equations and find the values of a variable.
Properties of Real Numbers 1.Objective: To apply the properties of operations. 2.Commutative Properties 3.Associative Properties 4.Identity Properties.
-(-7.2) 1-(-3) -9+(-4.5) (-3.4)(-2) -15/3 -2/5 + 3/-5
September 11, 2012 Properties and Integers Warm-up: Order of Operations 1.Simplify (3 – 5) – 4  Challenge: Your objective is to use the digits.
1–1: Number Sets. Counting (Natural) Numbers: {1, 2, 3, 4, 5, …}
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 5.5 Real Numbers and Their Properties.
Properties for Real Numbers Rules that real numbers follow.
Chapter 2 Real Numbers and algebraic expressions ©2002 by R. Villar All Rights Reserved Re-engineered by Mistah Flynn 2015.
Properties of Algebra By: Zoe Gaffney. Associative Property Associative Property is when you change the numbers that are in the parenthesis. Example:
September 7, 2012 Order of Operations, Expressions, and Properties HW : Distributive Property worksheet Warm-up: - Leave your hw on your desk, ready.
Real Number and the number Line. Number System Real numbers: is number that can be positive or negative and have decimal places after the point. Natural.
Whole Number Operations and Their Properties. Commutative Property of Addition and Multiplication Addition and Multiplication are commutative: switching.
1-4 Properties of Real Numbers. Properties 1.Additive Identity – the sum of any number and zero is equal to the number. a + 0 = a 2.Multiplicative Identity.
Algebra 1: Topic 1 Notes.
1-1 Properties of Real Numbers Big Idea: -Graph, order, identify, and use properties of real numbers.
Numbers Sets Natural Numbers – Counting numbers. Does not include 0 (example: 1,2,3,4…) Whole Numbers – All Natural numbers and the number zero (example:
Math Properties A property is something that is true for all situations.
7 th Grade Math Vocabulary Word, Definition, Model Emery Unit 1.
Section 1.1 Properties of Real Numbers. Living Things Animals Plants Mammals Dogs Border Collies Real Numbers Rational Integers Whole Natural Irrational.
Properties of Real Numbers
1.2 Properties of Real Numbers
Properties of Addition and Multiplication
What are integers? Whole numbers Untouched
Properties of Real Numbers
Properties of Real Numbers
Order of Operations & Real Numbers
1.1 Real Numbers & Number Operations
Section 5.5 Real Numbers and Their Properties
without changing the sum; a + b = b + a
Properties of Real Numbers
Section 5.5 Real Numbers and Their Properties
Properties of Addition and Multiplication
Apply Properties of Real Numbers
Properties of Addition and Multiplication
Properties of Real Numbers
Properties of Addition and Multiplication
Properties of Real Numbers
Properties of Addition and Multiplication
PROPERTIES OF REAL NUMBERS Commutative Property Associative Property Distributive Property Identity Property + x Inverse Property + X.
Lesson 1 – 2 Properties of Real Numbers
Presentation transcript:

1.2 Properties of Real Numbers Activity 11 Properties Stations 3 minutes per station Match the correct Property with the examples given in your worksheet and explain how you figured out the answer

Example The Closure Property says when you add two real numbers the sum is also a real number. For any real numbers a and b, a + b is a real number and a • b is a real number Which example matches this property best? a) 4 + 3 = 3 + 4 5(2 + 6) = 10 + 30 5 + 9 = 14

The Commutative Property says the order in which two numbers are added or multiplied does not affect the answer. a • b = b • a x + (y + z) = (y + z) + x

The Associative Property says the sum or product of any three numbers is the same, no matter how they are grouped using parentheses and the order of the numbers always stays the same. (a + b) + c = a + (b + c) x • (y • z) = (x • y) • z

The Inverse Property of Addition says the sum of a number and its opposite equals 0. a + (-a) = 0 -x + x = 0

The Inverse Property of Multiplication says any number multiplied by its reciprocal equals 1.

The Additive Identity: 0 added to any number will always equal the same number. a + 0 = a 0 + x = x

The Multiplicative Identity: any number multiplied by 1 will always equal the same number. a • 1 = a 1 • x = x

(a + b)(x + y) = ax + ay + bx + by The Distributive Property multiplies the expression outside parentheses to the expression inside. a(x + y) = ax + ay (a + b)(x + y) = ax + ay + bx + by

Rational Numbers can be expressed as a fraction, terminating, and repeating decimals.

Irrational Numbers cannot be written as fraction, they are not terminating or repeating decimals.

Integers are positive and negative whole numbers.

Whole numbers are positive numbers, including zero, that are not fractions nor decimals.

Natural Numbers are positive whole numbers, excluding 0.