A DDING AND S UBTRACTING R ATIONAL N UMBERS. R ATIONAL N UMBER :

Slides:

Advertisements

Similar presentations

ADDING REAL NUMBERS Section 2.2.

Advertisements

Name ways we can categorize people in the classroom Example: gender, eye color…etc.

Adding and Subtracting Rational Numbers

Adding First, you need to know… Associative Property of Addition When: (a + b) + c = a + (b + c) Commutative Property of Addition When: a + b= b + a.

Subtracting Rational Numbers

Add and Subtract Positive and Negative Fractions and Mixed Numbers SWBAT add and subtract positive and negative fractions; add and subtract positive and.

Adding and subtracting integers

Adding Integers. Adding Integers with the Same Sign Add the absolute values. The sum will have the same sign as the addends. Example 1 Find –2 + (-3)

OBJECTIVES 2.2 Addition of Integers Slide 1Copyright 2012, 2008, 2004, 2000 Pearson Education, Inc. aAdd integers without using the number line.

ADDING INTEGERS Positive + Positive = Positive Positive + Positive = Positive ( +3) + (+2) = +5 ( +3) + (+2) = +5 When a number is positive, you do not.

Rules of Integers. Positive numbers are numbers that are above zero. Negative numbers are numbers below zero.

Remember Lesson 6 when we added Integers – follow the same rules to add rational numbers. Positive + Positive = Positive Positive (Bigger number) + Negative.

A dding two negative integers: add the absolute values the answer is negative Adding a negative and a positive number: subtract the absolute values the.

Integer Operations. 1) What’s the rule for adding integers? *If both addends are Positive: - Add together and the sum is positive (Ex = 12) *If.

Quiz Review Properties and Integers Operations with Decimals Addition Subtraction Multiplication Division.

Adding and Subtracting Rational Numbers

Lesson 2-2 Adding and Subtracting Rational Numbers.

10.4 Addition and Subtraction: Like Denominators Goal: to add and subtract rational expressions with like denominators.

12-6 Rational Expressions with Like Denominators Objective: Students will be able to add and subtract rational expressions with like denominators.

Math 081 Day 2 Adding and Subtracting Integers. The Number Line Integers = {…, -2, -1, 0, 1, 2, …} Whole Numbers = {0, 1, 2, …} Natural Numbers = {1,

Adding and Subtracting Rational Numbers 2-2 Objective: Students will add and subtract integers and rational numbers. S. Calahan 2008.

 Lets Review Integers (you do not need to write this part down)

Subtracting Integers. What’s the difference between and 7 + (-3) ? = 4 and 7 + (-3) = 4 The only difference is that is a subtraction.

Adding and Subtracting Signed Integers

Adding Integers. Zero Pair = 0 Why it works… __________ Property says you can add or subtract zero without changing the value of an expression.

Find the sum or difference. Then simplify if possible.

1-5 Adding Integers There are three parts to today's lesson: Adding positive integers Adding negative integers Adding a positive integer and a negative.

Subtracting Integers. Subtracting Integers To subtract integers, add the opposite of the second integer. Examples:8 − 3 = = 5 9 − (-5) =

Operations and Integers Mrs. Bryand. Fraction Fun.

Signed Rationals. What are signed rationals? Signed rationals are rational numbers with negative and positive signs. To solve signed rational problems:

It says "ADD" but sometimes I really subtract.

1-7 Adding and Subtracting Integers Miss Tilton. 1-7 Adding Integers zero  Adding zero does not change an integer :  Zero property  Examples:  – 12.

A DDING AND S UBTRACTING D ECIMALS Lesson 1-5. T HE B ASIC S TEPS : Line up the numbers by the decimal point. Fill in missing places with zeroes. Add.

10.4 Addition and Subtraction: Like Denominators.

Applied Algebra B Lesson: 2 – 3 Adding Integers Objective: Learn to add integers.

Ch 3.1 Add and Subtract Signed Numbers Vocabulary Op posites :2 numbers the same distance from 0 but in opposite directions

I. Adding Two Positive Integers (Regular Addition) 1.) = 2.) = 3.) = 4.) = 1-7 Adding Integers There are three parts to today's.

Chapter 2 Lesson 2 Adding Integers pgs What you will learn: *Add two or more integers.

Integers, Rational Numbers and Models Review

1.3 Adding Integers POD #1l l - l- w l w=3 l l - l-3 l *Plug it in, Plug it in POD #2l a l + l 37 – 2 l a= 25 l 25 l + l 37 – 2 l.

OPERATIONS WITH INTEGERS, ADDING AND SUBTRACTING RATIONAL NUMBERS Objective: To add, subtract, multiply, and divide integers, to compare and order rational.

Adding Integers KMS 7 TH GRADE. Adding Integers Rules  To add integers with the same sign: you add the absolute values and keep the sign.  Example A.

Adding and Subtracting Real Numbers. Vocabulary Additive Inverse-the opposite of a number Identity Property of Addition: – for any number, n, n + 0 =

Adding and Subtracting Rational numbers

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Addition of Signed Numbers

& dding ubtracting ractions.

Adding and Subtracting Integers

Objective The student will be able to:

Adding and Subtracting Rational Numbers

Using Rules to Subtract Integers

INTEGER RULES Positives & negatives.

Rules of Integers.

Unit: Operations with Rational Numbers

Chapter 2: Adding Integers

Integers & Absolute Value

INTEGER RULES Positives & negatives.

Adding Integers Chp 2.2.

Subtracting Integers Sec 2.3 pg

L8-2 Notes: Adding Integers

& dding ubtracting ractions.

Algebra 1 Section 1.3.

Interesting Integers!.

Chapter 2-2 Adding Integers

& dding ubtracting ractions.

Rational numbers Mixed

Dding ractions LCM Method.

Chapter 2: Adding Integers

Presentation transcript:

A DDING AND S UBTRACTING R ATIONAL N UMBERS

R ATIONAL N UMBER :

A DDING AND S UBTRACTING We can use the same rules we found for integers for rational numbers Adding Rule 1: If the signs are the same  Add and keep the same sign Adding Rule 2: Different signs  Subtract and use larger sign Subtracting Rule: Keep-Change-Change

F RACTIONS Let’s review Example 1: Try this one: OR I could use Keep-Change-Change!

M ORE F RACTIONS Problem 1: Remember: We subtract to find our answer because we are battling our zero pairs!

T RY T HIS O NE : Problem 2: Remember we want to wait until we have a common denominator before we decide which fraction has a bigger absolute value.

A C OUPLE M ORE : Problem 3: Subtraction Problem 4: Keep-Change-Change!

M IXED N UMBERS Problem 1: Problem 2: Whoa! That looks easy! Let’s think about pizza… Remember this only works when they have the SAME SIGN!

M ORE M IXED N UMBERS

L ET ’ S T ALK A BOUT D ECIMALS They work the same way as integers and fractions! Just follow your adding and subtracting integer rules! Keep-Change-Change

P ROPERTIES Commutative Property of Addition: Numbers can be added in any order. Example: 5+3=3+5 Associative Property of Addition: Numbers can be grouped in any way. Example: (7+3) + 5 = 7 + (3+5) Identity Property of Addition: The sum of any number and zero is that number. Example: = 18

M ORE W ITH P ROPERTIES

A DDING AND S UBTRACTING R ATIONAL N UMBERS P RACTICE