# Ppt on addition of integers

##### 1.2 Adding Integers Adding 3 or more terms. Strategy You can add everything going from left to right Or you can use Commutative and Associative Properties.

1.2 Adding Integers Adding 3 or more terms Strategy You can add everything going from left to right Or you can use Commutative and Associative Properties to help make the numbers easier to add together Helpful Hints Look for Additive Inverse Property (sum is 0) Add the /) Commutative Property Allows you to add in any order as long as the problem is all addition Associative Property Allows you to regroup numbers by putting parenthesis around them. You may use the Associative Property when there is all/

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

Applied Algebra B Lesson: 2 – 3 Adding Integers Objective: Learn to add integers. Adding Integers Like Signs Add numbers and keep the sign 3 + 4 = 7 -6 – 8 = -14 Unlike Signs Subtract numbers, take the sign of the bigger number -4 + 11 = 7 5 – 13 = -8 Find/11 + 6 =17 Opposites Also called Additive Inverses or Zero Pair Examples 3 & -3 3 + -3 = 0 or 3 – 3 = 0 -10 & 10 -10 + 10 = 0 or 10 – 10 = 0 Property Additive Inverse Property The sum of any number and its additive inverse is 0. Simplify each expression 5x/

##### 11-5 Subtracting Integers Warm Up Find each sum. 1. –4 + 62. 5 + 12 3. –3 + 34. –8 + 9 Give the opposite of each number. 5. 76. –8 7. –38. 1 2 17 0 1 –7.

justify the rules for…subtracting…integers. Preview of MA.7.A.3.2 Subtract…integers,…including solving problems in everyday contexts. Sunshine State Standards 11-5 Subtracting Integers Move left on a number line to subtract a positive integer. Move right on a number line to subtract a negative integer. Subtracting Integers on a Number Line 11-5 Subtracting Integers Additional Example 1: Writing Integer Subtraction Write the subtraction modeled/

##### Pre-Algebra 09/7/10 OBJECTIVE – Solve integer addition and subtraction by identifying the terms and applying the rules HOMEWORK – P27-28 #6,22,27,36,53,55.

Pre-Algebra 09/7/10 OBJECTIVE – Solve integer addition and subtraction by identifying the terms and applying the rules HOMEWORK – P27-28 #6,22,27,36,53,55 – P32-33 #13,30,31,49,53 – Due 9/13 TAKS Tune-Up p6 WARMUP On back of Integer Investigation paper from last week write: What pattern do you see for each quadrant? – All positive-- All negative/

##### Lesson 2 Contents Example 1Add Integers on a Number Line Example 2Add Integers with the Same Sign Example 3Add Integers on a Number Line Example 4Add Integers.

Contents Example 1Add Integers on a Number Line Example 2Add Integers with the Same Sign Example 3Add Integers on a Number Line Example 4Add Integers with Different Signs Example 5Use Integers to Solve a Problem Example 6Add Three or More Integers Example 2-1a /hike he gained an altitude of 29 feet. At what altitude did Dave complete his hike? Answer:Dave completed his hike at 3 feet below sea level. Example 2-6a Commutative Property Additive Inverse Property Identity Property of Addition Answer: –4 Find. /

##### 17-Apr-15Created by Mr. Lafferty Maths Dept Ordering integers Integers www.mathsrevision.com Add / Sub Mathematically Letters and Numbers Multiplying Integers.

Dept www.mathsrevision.com Learning Intention Success Criteria 1.To be put integers in order of size. 1. To understand how to add positive and negative numbers using the thermometer as an aid. S3 3/Intention Success Criteria 1.To be able to write down mathematically the addition and subtraction of both positive and negative integers. 1. To explain how to write down mathematically addition and subtraction of negative integers. Negative Numbers Addition & Subtraction S3 3 17-Apr-15Created by Mr. Lafferty Maths/

##### Preview Warm Up California Standards Lesson Presentation.

2 3 4 5 Negative integers Positive integers 0 is neither positive nor negative The integers are the set of whole numbers and their opposites. -The whole numbers are the counting numbers and zero: 0, 1, 2, 3, …. -Integers: …,-3, -2, -1, 0, 1, 2, 3,… Remember! Graph the integer –7 and its opposite on a number line. Additional Example 1: Graphing Integers and Their Opposites on a/

##### Add. 1. 2 + 32. 7 + 4 3. 8 + 54. 17 + 12 Name the integer that corresponds to each point. 5. A6. B 5 11 –3 2913 5 Do Now.

a positive integer. Move left on a number line to add a negative integer. Adding Integers on a Number Line Parentheses are used to separate addition, subtraction, multiplication, and division signs from negative integers. –2 + (–5) = –7 Writing Math Example 1 Write the addition modeled on/13 B. –13 C. 23 D. –23 4. The basement of a building is 10 feet below the ground level. The height of the building including the basement is 69 feet. What is the height of the building from the ground level? A. 79 ft B. 69/

##### Adding and Subtracting Integers. Adding and Subtracting Integers 3R 3L Adding and Subtracting Integers Reflection Observe, Question, Comment 08/16/1308/15/13.

set of positive whole numbers, their opposites, and zero. (Ex: -2, -1, 0, +1, +2) Adding and Subtracting Integers 3R 3L Adding and Subtracting Integers Reflection Observe, Question, Comment 08/16/1308/15/13 Warm-Up: Standard: Objective: Notes/Examples: Practice: Party or War? The addition symbol does not always mean to ADD! The subtraction symbol does not always mean to SUBTRACT! Problems to/

##### How to work out Integers using BEDMAS

BEDMAS -36/-6 -154+56= -7x-9= Introduction What is BEDMAS? Brackets Exponents Division Multiplication Addition Subtraction When working out an Integers equation follow the BEDMAS rules. I can show you how to do that in 2 easy steps. Step 1 When /change the plus and negative sign into a minus sign like this 8 – 10 =. Now try some of these examples Now all you have to do is stick all that together and that is how you do BEDMAS with integers. Now try some of these examples (7 x -9) + 38 = (8²+7) – 45= 78 x 3 /

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

combining like terms and substituting. 1)-5x + 14x + (-6x) when x = 2 2)8x + (-7) + (-5x) when x = 2 Adding Integers You can use integer addition in real-life situations when you know the direction and the amount of change in a quantity. Adding Integers 1) The temperature at 4 pm Tuesday was 14° Fahrenheit. By 6 am Wednesday, the temperature had dropped 21°. What/

##### There are 3 switches downstairs, each corresponding to one of the light bulbs upstairs. How can you figure out which light switch goes to which light.

There are 3 switches downstairs, each corresponding to one of the light bulbs upstairs. How can you figure out which light switch goes to which light bulb by only making 1/ Lesson 1.02- Thinking About Negative Numbers Vocabulary: Number line Opposite Homework: Book: pg. 15; 4 Goals: Identify patterns in the addition table. Perform integer addition. Explain rules of integers. Lesson 1.03 Addition Table 1. Fill in the missing numbers For You to Explore: 2. Find and explain patterns you see. 1. What are the /

##### Adding Integers with and without Models September 20, 2012.

September 20, 2012  Modeling integer addition with counters:  represents a positive integer and represents a negative integer  Add the number of counters represented by each integer  When modeling integers a create a zero pair and cancel each other out  The remaining counters signify your answer Modeling Integer Addition with Counters + +  Modeling integer addition with a number line  Moving right on the number line represents a positive integer and moving left on the/

##### N5  Explain the meaning and effect of adding and subtracting integers N6  Simplify numerical expressions involving integers and use integers to solve.

solve real-life problems. N8  Develop and analyze algorithms for computing with integers and demonstrate fluency in their use. Subtracting Integers 3-5 (pgs 128 -131) Well, I mean the RULE of Subtraction!Well, I mean the RULE of Subtraction! –To Subtract an integer… you add its opposite. –Change the problem to addition, and use SAK or DSL. Examples Subtracting 5 - 2 = ? This is the same/

##### Lesson Menu Main Idea and New Vocabulary Example 1:Add Integers with the Same Sign Key Concept:Add Integers with the Same Sign Example 2:Add Integers.

(+) = [11 + (–11)] + (–4)Associative Property (+) = 0 + (–4)Additive Inverse Property = –4Additive Identity Property Answer: The solution is –4. Example 7 CYP A.–12 B.–10 C.–7 D.–2 Find 5 + (–7) + (–5). Example 8 FINANCIAL LITERACY Small businesses manage their inventory using integers. The cost of goods sold is calculated as starting inventory plus cost of items bought during the year plus a/

##### Holt CA Course 1 2-1 Introduction to Integers Vocabulary opposite integer absolute value.

always positive or zero. Holt CA Course 1 2-1 Introduction to Integers The symbol | | is read as “the absolute value of.” For example, |–3| means "the absolute value of –3." Reading Math Holt CA Course 1 2-1 Introduction to Integers Graph the integer –7 and its opposite on a number line. Additional Example 1: Graphing Integers and Their Opposites on a Number Line The opposite/

##### Lesson Menu Main Idea and New Vocabulary NGSSS Example 1:Add Integers with the Same Sign Key Concept:Add Integers with the Same Sign Example 2:Add Integers.

Different Signs Example 8:Real-World Example Five-Minute Check Main Idea/Vocabulary Add integers. opposites additive inverse NGSSS MA.7.A.3.1 Use and justify the rules for adding, subtracting, multiplying, dividing, and finding the absolute value of integers. Also addresses MA.7.A.3.2. Example 1 Add Integers with the Same Sign Find –6 + (–3). Start at 0. Move 6 units/

##### Comparing and Ordering Integers LESSON 6-2 Compare –12 and –10. Since –12 is to the left of –10, –12 < –10. Graph –12 and –10 on the same number line.

–12 is to the left of –10, –12 < –10. Graph –12 and –10 on the same number line. Additional Examples Use five as the number line unit. –35, –10, –2, 16, 68 Write the numbers in order from left to right. Comparing and Ordering Integers LESSON 6-2 Order from/a. 16, –2, –35, 68, –10 In order from least to greatest, the numbers are –35, –10, –2, 16, 68. Additional Examples Comparing and Ordering Integers LESSON 6-2 (continued) b. –87, –14, 41, –104, 78 In order from least to greatest, the numbers are –104, –87, /

##### Integer Addition and Subtraction. Integer Addition Rules Rule #1 – If the signs are the same, pretend the signs aren’t there. Add the numbers and then.

’t there. Add the numbers and then put the sign of the addends in front of your answer. 9 + 5 = 14 -9 + -5 = -14 Integer Addition Rules Rule #2 – If the signs are different pretend the signs aren’t there. Subtract the smaller from the larger and put the sign of the larger in front of your answer. -9 + 5 = 9 - 5 = 4 Larger number Answer/

##### Created by Mr. Lafferty Maths Dept

-17 Created by Mr. Lafferty Maths Dept Created by Mr. Lafferty Maths Dept Negative Numbers Addition & Subtraction Learning Intention Success Criteria 1 We are learning how to write down mathematically addition and subtraction of negative integers. To be able to write down mathematically the addition and subtraction of both positive and negative integers. www.mathsrevision.com 5-Apr-17 Created by Mr. Lafferty Maths Dept Created by/

##### Lesson Presentation Lesson Quizzes 1.

integers. Preview of MA.7.A.3.2 Subtract…integers,…including solving problems in everyday contexts. Subtracting Integers on a Number Line Move left on a number line to subtract a positive integer. Move right on a number line to subtract a negative integer. Confused??? Subtracting Integers/, Change KEEP, CHANGE, CHANGE Some teachers teach Slash/Slash or Slash/Dash as KEEP, CHANGE, CHANGE Additional Example 1: Writing Integer Subtraction Write the subtraction modeled on each number line. A. B. –4 –3 –8 –7 /

##### 2-4 Multiplying and Dividing Integers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

when the signs of integers are different, their product or quotient is negative. The patterns also suggest that the product or quotient of two negative integers is positive. 2-4 Multiplying and Dividing Integers MULTIPLYING AND DIVIDING TWO INTEGERS If the signs are:Your answer will be: the same different positive negative 2-4 Multiplying and Dividing Integers Find each product. Additional Example 2: Multiplying Integers A. –6 · (–5/

##### Integers Students will be able to add and subtract using integers. What are the rules for adding and subtracting integers?

- 2 Using Counters  We can also use and to represent positive and negative numbers.  For each of our positive numbers, we will use a + sign and for all of our negative numbers, we will use a – sign.  Let’s try a few… + - Integer RULES  List the integer addition and subtraction rules you have been taught in years prior to 8th grade.  What IS a rule/

##### 2-4 Multiplying and Dividing Integers Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

suggest that when the signs of integers are different, their product or quotient is negative. The patterns also suggest that the product or quotient of two negative integers is positive. Course 2 2-4 Multiplying and Dividing Integers MULTIPLYING AND DIVIDING INTEGERS If the signs are:Your answer will be: the same different positive negative Find each product. Additional Example 2: Multiplying Integers Course 2 2-4 Multiplying/

##### Multiplying and Dividing Integers 1-7 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

= –600 –400 + 200 –200 0 200 400 600 + 200 The product of two negative integers is a positive integer. Multiplying and Dividing Integers 1-7 Multiplying and Dividing Integers 1-7 Additional Example 1: Multiplying and Dividing Integers A. –6(4) ‏ B. –8(–5) ‏ 40 –24 Signs are / –24 3 D. 6 Signs are the same. Answer is positive. –12 –2 Multiplying and Dividing Integers 1-7 Additional Example 2: Using the Order of Operations with Integers A. 3(–6 – 12) ‏ –54 3(–18) ‏ Subtract inside the parentheses. Think: The/

##### Carnegie Mellon 1 Bits, Bytes, and Integers Lecture, Jan. 24, 2013 These slides are from website which accompanies the book “Computer.

to unsigned !! Carnegie Mellon 41 Today: Bits, Bytes, and Integers Representing information as bits Bit-level manipulations Integers  Representation: unsigned and signed  Conversion, casting  Expanding, truncating  Addition, negation, multiplication, shifting Summary Carnegie Mellon 42 Sign Extension Task:  Given w-bit signed integer x  Convert it to w+k-bit integer with same value Rule:  Make k copies of sign bit:  X = x w–1,…, x w/

##### Lec 13Systems Architecture1 Systems Architecture Lecture 13: Integer Multiplication and Division Jeremy R. Johnson Anatole D. Ruslanov William M. Mongan.

/Divide unit Lec 13Systems Architecture3 Support for SLT and Overflow Detection Lec 13Systems Architecture4 MIPS ALU Lec 13Systems Architecture5 MIPS Integer Multiply and Divide Hi and Lo registers –mfhi –mflo Signed and unsigned multiply –mult –multu Divide instructions –div/ Architecture Fast Multiplication Hardware Unroll the addition “loop” Use 32 32-bit adders Each adder produces 32-bits and a carry-out The least significant bit of each intermediate sum is a bit of the product. The other 31 bits/

##### Then, around 1 st grade, you learned about zero, and you started calling them whole numbers. 0, 1, 2, 3, …0, 1, 2, 3, … The first kind of rational number.

– 1 + + 3 – 1 + + 3 3 – 1 3 – 1 2 + 2 + 2 1.Change the subtraction to addition, then... 2....change the sign of the 2 nd integer. 3.Signs are DIFFERENT. 4.SUBTRACT the absolute values. 5.Write down that number. 6.The answer is NEGATIVE because the bigger – 10 /values. 5.Write down that number. 6.The answer is NEGATIVE because both integers are negative. 1.Change the subtraction to addition, then... 2....change the sign of the 2 nd integer. 3.Signs are DIFFERENT. 4.SUBTRACT the absolute values. 5.Write down /

##### Learn Alberta Let’s Review Integers (Unit 9)

Minus Higher” Student Outcome: I will learn different strategies to use addition to subtract integers.. ( ) – ( ) The morning temperature is - 5°C. This afternoon it will reach a temperature of +6°C. How much lower is the morning temperature than (/ day. Applying Integer Operations Student Outcome: I will decide when to add and subtract integers. Applying Integer Operations What are some words we use to know whether we should add or subtract integers? Subtraction to Addition of Integers Page 339-340/

##### Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions,

or divide. –24 3 D. 6 Signs are the same. Answer is positive. –12 –2 Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 2: Using the Order of Operations with Integers A. 3(–6 – 12) –54 3(–18) Add the opposite of 12 inside the parentheses. Think: The signs are different. The answer is negative. Simplify. B. –5(–5 + 2) 15 –5(–3/

##### Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.

or divide. –24 3 D. 6 Signs are the same. Answer is positive. –12 –2 Evaluating Algebraic Expressions 1-6Multiplying and Dividing Integers Additional Example 2: Using the Order of Operations with Integers A. 3(–6 – 12) –54 3(–18) Add the opposite of 12 inside the parentheses. Think: The signs are different. The answer is negative. Simplify. B. –5(–5 + 2) 15 –5(–3/

##### 11-4 Adding Integers Problem of the Day Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson.

the rules for adding…integers. Preview of MA.7.A.3.2 Add…integers,…including solving problems in everyday contexts. Sunshine State Standards 11-4 Adding Integers Move right on a number line to add a positive integer. Move left on a number line to add a negative integer. Adding Integers on a Number Line 11-4 Adding Integers Parentheses are used to separate addition, subtraction, multiplication, and division/

##### 1/28: Inputs, Variable Types, etc. Addition.java in depth Variable types & data types Input from user: how to get it Arithmetic operators.

number1 & number2 Inputs: How we did it. We then initialized (gave an initial value to) number1 & number2 by the lines number1 = Integer.parseInt ( firstNumber ); number2 = Integer.parseInt ( secondNumber ); These lines convert the String values of firstNumber and secondNumber into int values and store them as number1 and number2. Addition.java //read in second number from user as a String secondNumber = JOptionPane.showInputDialog ( “Enter second/

additional information! 2 Forms On the first form, Next will bring up the second form. On the second form, Previous will bring up the first form. 2 Forms prSrchCr First I entered the course number that I want to search for. The retrieval is successful and comes back with the name of/ the call is made to Load_file it is executing Load_File which is part of FileHandlr2.bas. Private Sub cmdRetrieve_Click() Dim wrkInd As String, ptr As Integer Dim AddCrsResp As Integer wrkInd = "N" ptr = 1 Do While wrkInd = "N" /

##### 2-3 Subtracting Integers Problem of the Day Add. 1. –2 + 62. –3 + (–4) 3. 7 + (–5)4. 3 + (–4) 5. –6 + (–1)6. –6 + 1 4 –7 2 –1 –7 –5.

= 3 Start at 0. Move right 4 spaces. To subtract 1, move to the left. 2-3 Subtracting Integers Rules for Subtracting Integers: Add the opposite 1. copy 2. change 3. opposite 4. Follow the Rules of Adding Integers. 2-3 Subtracting Integers Additional Example 1B: Modeling Integer Subtraction 1 2 –6–5–4 –3 –2–1 0 Use a number line to find each difference. –3/

##### Holt CA Course 1 2-1 Introduction to Integers Warm Up Compare. Use, or = 1. 7 5 2. 32 65 3. 82 28 4. 64 48 > < > >

are the counting numbers and zero: 0, 1, 2, 3, …. Remember! Holt CA Course 1 2-1 Introduction to Integers Graph the integer –7 and its opposite on a number line. Additional Example 1: Graphing Integers and Their Opposites on a Number Line The opposite of –7 is 7. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0 7/

##### Course 2 2-1 Integers The opposite of a number is the same distance from 0 on a number line as the original number, but on the other side of 0. Zero is.

feet. The whole numbers are the counting numbers and zero: 0, 1, 2, 3,.... Remember! Course 2 2-1 Integers Graph the integer 7 and its opposite on a number line. Additional Example 1: Graphing Integers and Their Opposites on a Number Line The opposite of –7 is 7. 1 2 3 4 5 6 7 –7–6–5–4–3–2–1 0 7/

##### Adding Integers. The Number Line Integers = {…, -2, -1, 0, 1, 2, …} -505.

signs are different, SUBTRACT and use the sign of the larger number. (-2) + 4 = 2 2 + (-4) = -2 Song Addition Rule: Sung to the tune of “Row, row, row, your boat” Same signs add and keep, different signs subtract, keep the sign of the higher number, then it will be exact! Another way to Add Integers Is With a Number Line 0123456-2-3-4/

##### GCSE Computing#BristolMet Session Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow.

Objectives#8 MUST add two 8-bit binary integers SHOULD explain overflow errors COULD provide solutions to limit overflow errors GCSE Computing#BristolMet Adding binary numbers Adding binary numbers uses the same method as addition in Base10 where you carry 1 across e./ 1 1 Requires another bit GCSE Computing#BristolMet Overflow Overflow – when a number becomes too large to fit into the number of bits allocated it is said to ‘overflow’ and some bits are ‘lost’ leaving an incorrect value. For example: 1 /

##### Integers (-5) + (-2). Terminology Negative integer Positive integer Zero pair Opposite integer.

Line A number line can also be used to model the addition of integers An arrow can be drawn above the number line to model each of the integers in the addition expression The second arrow is started at the finishing point of the first arrow Ex. The arrow above the number line represents (-6) Adding Integers With A Number Line Ex. Evaluate (+1) + (-6) Two arrows need/

##### + Subtracting Integers on a Number Line. + How to subtract integers on a number line This will be similar to adding integers on a number line, but instead.

similar to adding integers on a number line, but instead of adding, we will be subtracting. Place a circle on the number line to represent the first number in the problem. The second number will tell you how much to take away (this is different from addition because now we/Example 3 Model 5 – (-2) on a number line Start at 5 Move two spaces to the right (since 2 was negative) This is the opposite of what we did for example 1 Answer: 7 + Example 4 Model 3 – (-4) on a number line Answer: 7 + Example 5 Model 6 /

##### Represent Positive Integers Represent Negative Integers.

Represent Positive Integers Represent Negative Integers ANSWERS CornellNotes Goals: Warm up to the idea of the investigation Use an interactive approach to develop mathematical habits of mind. Lesson 1.01-Getting Started 1. What are the missing numbers in/ patterns you see. On Your Own: Homework: Book: pg. 11; 10 Goals: Perform integer addition Subtract using integers by adding the opposite Lesson 1.02- Thinking About Negative Numbers Vocabulary: Number line Opposite Homework: Book: pg. 15; 4 /

##### Holt CA Course 1 2-5 Solving Equations Containing Integers Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

isolate the variable is to add the opposite of –3 to both sides. Because the sum of a number and its opposite is 0, the opposite of a number is also known as the additive inverse of the number. Holt CA Course 1 2-5 Solving Equations Containing Integers 3 + (–3) = 0 3 is the opposite, or additive inverse, of –3. Helpful Hint Holt CA Course 1 2/

##### Section 4.1. Division Definition: If a and b are integers with a ≠ 0, then a divides b if there exists an integer c such that b = ac. The notation a |

2)1 = 2 (mod 5 ) Arithmetic Modulo m Definitions: Let Z m be the set of nonnegative integers less than m: { 0, 1, …., m −1 } The operation + m is defined as a + m b = (a + b) mod m. This is addition modulo m. The operation ∙ m is defined as a ∙ m b = (ab) mod/ ∙ 11 9 = (7 ∙ 9) mod 11 = 63 mod 11 = 8 Arithmetic Modulo m The operations + m and ∙ m satisfy many of the same properties as ordinary addition and multiplication. Closure: If a and b belong to Z m, then a + m b and a ∙ m b belong to Z m. Associativity/

##### Integer Rules Tutorial AddAdd Subtract Multiply DivideSubtractMultiplyDivide Begin in “show mode”

the same sign: Keep the sign and add the numbers! -3 + (-7) = -10 4 + 9 = 13 ExitPreviousPrevious NextNext Integer Rules for Addition If two Integers have different signs: Subtract the two numbers and keep the sign of the number with the highest absolute value!absolute value -3 + 7 = 4 15 + (-9) = 6 -7 + 2 = -5 ExitPreviousPrevious NextNext You try now! Will the answer be/

##### Integers. Definition Positive integer – a number greater than zero. 0123456.

bank. Hint If you don’t see a negative or positive sign in front of a number, it is ALWAYS positive. 9 + Integer Addition Rules Rule #1 – When adding two integers with the same sign, ADD the numbers and keep the sign. 9 + 5/+21 2. –22 + -11 = -33 3. 55 + 17 = +72 4. –14 + -35 = -49 Integer Addition Rules Rule #2 – When adding two integers with different signs, find the difference (SUBTRACT) and take the sign of the larger number. -9 + +5 = 9 - 5 = 4 Larger absolute value: Answer = - 4 Solve These Problems /

##### Warm Up Evaluate each expression for the given values of the variables. 1. 2x – 3y for x = 17 and y = 6 2. 5(x + 3) + 4y for x = 3 and y = 2 3. 6.9(x –

–1 0 1 2 3 4 5 E. Write the integers 8, –5, and 4 in order from least to greatest. Additional Example 2: Ordering Integers 8 > –5, 8 > 4, and –5 < 4 Compare each pair of integers. –5, 4, and 8. 1-3 Integers and Absolute Value Course 3 –5 is less than both 4/ and 8. F. Write the integers 7, –12, and 13 in order from least to greatest. Check It Out: Additional Example 2 13 > –12, 13 > 7, and –12 < 7 Compare each pair of integers. –12, 7, and 13. 1-3 Integers and Absolute Value Course 3 –12 is less /

##### INTEGERS Absolute Value Numbers and the Number Line Addition Subtraction Multiplication and Division Add/Subtract Matrices.

fraction. They are decimals that are nonrepeating and nonterminating Examples  0.1567613491… Real Numbers is the set of all rational and irrational numbers. Real Numbers Rational NumbersIrrational Numbers Integers Whole Numbers 0 15 -13 -7 -35 -.37.823 -.37 29 2 5  6 Absolute/absolute value of the numbers. 7 + -5 =2-9 + 21= 6 + -15 = 12 - 2 nd step 21 – 92 nd step 7-5 2 nd step 15 - 6 9 - 23 + 16 = - 2 nd step 23 - 16 7 Subtraction Change the problem into an addition problem. To subtract an integer, add /

##### 2-4 Multiplying and Dividing Integers Warm Up Evaluate each expression. 1. 8 + (-5)2. -16 – (-3) 3. 4 · 864. 112 ÷ 4 3 -13 344 28.

when the signs of integers are different, their product or quotient is negative. The patterns also suggest that the product or quotient of two negative integers is positive. 2-4 Multiplying and Dividing Integers MULTIPLYING AND DIVIDING TWO INTEGERS If the signs are:Your answer will be: the same different positive negative 2-4 Multiplying and Dividing Integers Find each product. Additional Example 2: Multiplying Integers A. –6 · (–5/

##### Integers in Real-World Situations

2 +3 +4 +5 Negative Integers Positive Integers 0 is neither negative nor positive. The set of whole numbers includes zero and the counting numbers. {0, 1, 2, 3, 4, …} Remember! Additional Example 2: Graphing Integers Graph each integer and its opposite on a number line/of integers. Write < or >. A. –2 1 B. 2 –3 C. –3 –4 –5 –4 –3 –2 –1 0 1 2 3 4 5 –2 < 1 –2 is to the left of 1 on the number line. 2 > –3 2 is to the right of –3 on the number line. –3 > –4 –3 is to the right of –4 on the number line. Additional/