ALGEBRA READINESS Chapter 5 Section 2.

Slides:

Advertisements

Similar presentations

Chapter One Adding & Subtracting Integers. Adding Integers Key Concepts  Adding Integers with Same Sign  The sum of two positive integers is positive.

Advertisements

Chapter 02 – Section 02 Adding and Subtracting Rational Numbers.

 Two Rules: 1. To add numbers with the same sign, ADD the absolute values and the answer has the same sign as the original numbers.  EXAMPLE:

Subtracting Rational Numbers

1.4 Adding Integers Standards: NS 1.2 and AF 1.3 Objective: Add Integers using Rules.

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

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

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.

1 Adding Integers 1.5 LESSON Scuba Diver. A scuba diver studying marine life is 4 feet below sea level. From that depth, the diver descends 72 feet to.

 5 + (-9) is read: positive 5, negative 9  5 – 9 is read: positive 5, negative 9  is read: negative 15, positive 8  -7 + (-10) is read: negative.

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

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

Chapter 2 Section 5 Multiplying Integers. Multiplying Two Integers with Different Signs Words: The product of two integers with different signs. Numbers:

Integers All whole numbers and their opposites including the number 0.

Subtracting Integers Algebraically. How to Subtract Integers Algebraically 1.Rewrite the problem  Keep the first number the same  Change the problem.

Notes and Practice Adding and Subtracting Integers.

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

2.2 Subtracting Rational Numbers. 2.2 – Subtracting Rational #s Goals / “I can…” Subtract rational numbers Apply subtraction.

1 As you can see from the number lines below, the expression 5 – 4 and 5 + (–4) have the same value, 1. These equivalent expressions suggest the following.

= 31 = – 31 Find the difference. EXAMPLE 1 Subtract real numbers a. – 12 – 19 b. 18 – (–7) = – 12 + ( – 19) =

EXAMPLE 1 Subtracting Integers –56 – (–9) = – = –47 –14 – 21 = –14 + (–21) = –35 Add the opposite of –9. Add. Add the opposite of 21. Add. a. –56.

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

Unit 1 Rational Numbers Integers.

Same Signs Different Signs 1) =+7 Objective- To solve problems involving operations with integers. Combining.

Evaluating Algebraic Expressions 2-3 Adding and Subtracting Rational Numbers A (–1.2) Think: Find the difference of |1.2| and |3|. 0.9 Add or subtract.

Copyright©amberpasillas2010. You have learned lots of things about adding and subtracting integers. Let’s review addition !

1-4 Adding Real Numbers Hubarth Algebra. Identity Property of Addition For every real number n, n+0 = n and 0+n = n. Ex = = 5 The opposite.

ADDING AND SUBTRACTING MULTIPLYING AND DIVIDING REAL NUMBERS.

1.5 Adding Integers. Adding Integers! When adding two positive numbers, Start at 5 Move to the right 7 spaces Answer : 12.

Standards: NS 1.2 and AF 1.3 Objective: Add Integers using Rules

Section 2-4: Adding Integers using Rules

Add and subtract integers

2 Chapter Chapter 2 Integers and Introduction to Variables.

Chapter 3 section 4 Adding integers

Objective The student will be able to:

Lesson 1.1 How do you evaluate and write variable expressions?

Using Rules to Subtract Integers

Adding and Subtracting Fractions

Rules of Integers.

Operations Adding Subtracting

Adding and Subtracting Real Numbers

Adding and Subtracting Integers

Objective The student will be able to:

Adding and Subtracting Rational Numbers

Adding and Subtracting Rational Expressions

2.2 Adding Integers.

Adding and Subtracting Positive and Negative Numbers

Subtracting Real Numbers

Subtracting Expressions

Chapter 7 Section 2.

Skill Check Lesson Presentation Lesson Quiz.

Objective The student will be able to:

Subtracting Integers Sec 2.3 pg

L8-2 Notes: Adding Integers

To Start: 20 Points How did you feel about the Jeopardy way of reviewing for the first test? What did you like about it? What didn’t you like about.

Warmup 1.6 Find the sum: (-32) (-16) + (-12)

Algebra 1 Section 1.3.

Adding and Subtracting Rational Expressions

Algebra 1 Section 13.3.

Objective The student will be able to:

SECTION 1-5 : ADDING and SUBTRACTING REAL NUMBERS

Chapter 2-2 Adding Integers

Objective The student will be able to:

Rational numbers Mixed

SECTION 1-5 : ADDING and SUBTRACTING REAL NUMBERS

Adding and Subtracting Real Numbers

Presentation transcript:

ALGEBRA READINESS Chapter 5 Section 2

5.2: Add and Subtract Rational Numbers To add two rational numbers with the same sign, add them together and keep the same sign. To add two rational numbers with different signs, subtract them and keep the sign of the “bigger” number. To subtract two rational numbers you add the opposite.

Example 1 a. b. Adding and Subtracting Rational Numbers Subtract. Add. 4 a. + – Rule of different signs 5 5 = 5 3 – Subtract. b. 1.3 – + 5.8 ( ) Rule of same signs Add. 7.1 = –

Example 1 c. Adding and Subtracting Rational Numbers Subtraction rule 4 3 2 1 – Subtraction rule = + 4 3 1 2 – = 4 1 2 – Add. Write as a mixed number. 4

Find the sum or difference. Practice for Example 1 Find the sum or difference. 1. 9 – 5.3 + ( ) ANSWER – 3.7 2. 0.6 – 0.2 + ( ) ANSWER – 0.8 3. 14.6 – 11.2 ( ) ANSWER 3.4 4. 8 7 + 3 1 – ANSWER 24 13

Find the sum or difference. Practice for Example 1 Find the sum or difference. 5. 5 2 + 3 – 1 ANSWER 5 4 6. 2 1 – 9 4 3 ANSWER 4 1 13 –

Evaluate the expression x 5.1 y when x 3.7 and y 2.3. Example 2 Evaluating an Algebraic Expression Evaluate the expression x 5.1 y when x 3.7 and y 2.3. – – = = – SOLUTION x 5.1 = – ( ) 2.3 y 3.7 Substitute 3.7 for x and 2.3 for y. = ( – ) 5.1 3.7 + 2.3 Add the opposites of 5.1 and 2.3. = 0.9 Add.

Evaluate the expression when and . Practice for Example 2 = 8 3 – x = 2 1 y Evaluate the expression when and . 1 ANSWER – 24 5 7. x + y – 3 8. x 4 3 y – ANSWER 8 5 9. x – 3 1 y 2 ANSWER – 24 53 or 5 2

A man was at the top of a mountain at an elevation of Example 3 Evaluating Change A man was at the top of a mountain at an elevation of 513.4 meters. He rappelled down to an elevation of 485.9 meters. What was the change in elevation? SOLUTION STEP 1 Write a verbal model. STEP 2 Find the change in elevation. = 485.9 Substitute values. Change in elevation – 513.4

The change in elevation was 27.5 meters. Example 3 Evaluating Change = 485.9 + ( – 513.4 ) Subtraction rule Add. = – 27.5 ANSWER The change in elevation was 27.5 meters. – 10

Find the change in temperature. Practice for Example 3 Find the change in temperature. 10. From 12.5°C to 2.1°C – ANSWER – 14.6°C 4 3 11. From 50 °F to 51°F – ANSWER °F 4 1 – 12. From 57.7 °C to 49.4°C ANSWER – 8.3°C 5 1 13. From 8 °F to 21 °F – 2 ANSWER °F 10 3 – 13