Common Core Standard: 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition.

Slides:

Advertisements

Similar presentations

10-5 Addition and Subtraction: Unlike Denominators  Standard 13.0: Add and subtract rational expressions.

Advertisements

Adding and Subtracting Fractions with Like Denominators.

Rational Expressions To add or subtract rational expressions, find the least common denominator, rewrite all terms with the LCD as the new denominator,

Rational Numbers. Some Definitions Rational Number: Any number that can be converted into a fraction ( Examples: ¼, 3, 4.25, 0). Fraction: A part of a.

A Rational Number is a quotient of two integers

Chapter 7 Section 4. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Adding and Subtracting Rational Expressions Add rational expressions.

6.4 Adding and Subtracting Rational Expressions. Objective 1 Add rational expressions having the same denominator. Slide

Lesson 2 Operations with Rational and Irrational Numbers

1.add and subtract rational numbers. 2.compare and order rational numbers. SOL: none Objective The student will be able to: Designed by Skip Tyler, Varina.

Jeopardy Converting Fractions and Decimals Rational Numbers Mult. & Div Rational Numbers Add/Sub Fractions Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q.

Key Vocabulary: Opposites – pairs of positive and negative integers whose sum equals 0 Additive inverses – numbers and their opposites 2.2 Adding and Subtracting.

Pre-Algebra Bell Ringer 1. 10x – 5y = 2 Solve for y 2. m – n – 12 = p Solve for n 3. a – 4 < 3a x + 8 ≥ -22 – 7x.

2-1 (C) Comparing and Ordering Integers. Vocabulary Rational Number – a number that can be expressed as a fraction. Ex: %4 ½ 4.8.

Warm Up #1 #2 Add. #3 List the steps you used to solve questions #1 & #2.

Graphing, Writing and Solving Inequalities. 1.graph inequalities on a number line. 2.solve inequalities using addition and subtraction. Objective The.

Fractions, Decimals, and Percents. Percents as Decimals To write a percent as a decimal, divide by 100 and remove the percent symbol. Example 1: 63% 63.

Rational numbers. Whole numbers Whole numbers Rational numbers Whole numbers Natural numbers Integers / ¾ 18% A rational number.

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

Chapter 7 Section 4 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.

Chapter 6 Section 4 Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Adding and Subtracting Rational Expressions Add rational expressions.

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

Comparing Fractions with the same Denominators

Add & Subtract Rationals – Common Denominator To add or subtract rational expressions with common denominators: 1) Add or subtract the numerators 2) Write.

0-3: Operations with Integers

Fill In The Blank Multiplying Fractions 1. Fraction Form 2. Multiply Numerators Simplify.

Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominators.

10.4 Addition and Subtraction: Like Denominators.

11.6 Adding and Subtracting Rational Expressions

EXAMPLE 1 Add polynomials vertically and horizontally a. Add 2x 3 – 5x 2 + 3x – 9 and x 3 + 6x in a vertical format. SOLUTION a. 2x 3 – 5x 2 + 3x.

Adding and Subtracting Decimals.  Adding Decimals  Subtracting Decimals  Estimating While Adding or Subtracting Decimals  Solving problems by Adding.

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

Adding and Subtracting Rational numbers

6.NS.6c Find and position integers and other rational numbers on a horizontal or vertical number line diagram. 6.NS.7a Interpret statements of inequality.

Lesson 2-3 Adding and Subtracting Integers

Objective The student will be able to:

Objective The student will be able to:

Fractions: Adding and Subtracting Like Denominators

Rational Functions (Algebraic Fractions)

Adding and Subtracting Fractions

Objective The student will be able to:

Adding and Subtracting Rational Numbers

Rational Numbers & Equations

Adding and subtracting rational numbers

Review Problems 1) 2) 3).

Lesson 2.3 Subtracting Rational Numbers

Operations Adding Subtracting

Chapter 3 Test Review.

Objective The student will be able to:

Adding and Subtracting Rational Numbers

Fractions: Adding and Subtracting Like Denominators

Adding and Subtracting Rational Expressions

Adding AND Subtracting Rational Expressions

Adding and Subtracting Rational Numbers

Adding and Subtracting Rational Expressions

Chapter 7 Section 2.

Adding Subtracting more than 2 rational numbers (LCM method)

Objective The student will be able to:

10.4 Addition and Subtraction: Like Denominators

Adding and Subtracting Fractions

Add & Subtract Rational Numbers

Objective The student will be able to:

Objective The student will be able to:

Subtracting Rational Numbers Unit 2 Lesson 3

2.2 Adding Rationals Adding Fractions Adding Decimals 1. You need to have the same denominator when you add fractions If not, find the LCD 2. Multiply.

Rational numbers Mixed

Subtract unlike rational numbers

Presentation transcript:

Common Core Standard: 7.NS.1 Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram. Adding and Subtracting Rational Numbers

1.add and subtract rational numbers. 2.compare and order rational numbers. Objective The student will be able to:

Find the sum. 1) (-0.26) Line up the decimals and add (same signs) ) Get a common denominator and subtract.

Find the difference. 3) Change subtraction to adding the opposite. Get a common denominator. Subtract and keep sign of the larger number.

Find the difference. 4) Get a common denominator and subtract. Change subtraction to adding the opposite.

Substitute for y: (-3.42) ) Solve 6.32 – y if y = -3.42

Find the solution 6.5 – 9.3 = ? Answer Now

Find the solution Answer Now

A rational number is a number that can be written as a fraction. How can these be written as a fraction? 3 =

Inequality Symbols

Ordering Rational Numbers 2 ways to order from least to greatest 1.Get a common denominator 2.Change the fractions to decimals (numerator  demoninator)

Which rational number is bigger? 1) Get a common denominator. 2) or convert the fraction to a decimal < < 3 8

Which rational number is bigger? 1)Get a common denominator 2)or convert to a decimal 1.75 < or < 44 24

Which symbol makes this true? 5 7 __ < 2.> 3.= Answer Now

Which symbol makes this true? -2 9 __ 4 1.< 2.> 3.= Answer Now