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

Slides:

Advertisements

Similar presentations

ADDING REAL NUMBERS Section 2.2.

Advertisements

INTEGERS Integers include: the counting numbers….

Rational Numbers ~ Adding Rational Numbers

Adding and Subtracting Integers

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.

POSITIVE AND NEGATIVE NUMBERS

ADDING AND SUBTRACTING POSITIVE AND NEGATIVE INTEGERS.

The Answer is RIGHT.

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)

2-4 Adding Integers Write and solve an addition expression for the following temperature change. The temperature dropped 2 degrees in one hour, the next.

ALGEBRA 1 Operations with Integers

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.

Addition and Subtraction of Integers

Add, Subtract, Multiply, and Divide Decimals

Add , Subtract, Multiply, Divide.

Adding and Subtracting Integers To add integers with the same sign, add their absolute values and then change the sign to the sign of the addends. Positive.

RULES FOR SIGNED NUMBERS ADDITION And “SUBTRACTION” 1 I have not put in “Animation” to go step-by-step.

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.

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

Operations with Integers

Flashback Without a calculator, find the answer. 1. (7 × 7 − 3 × 6) ÷ ( ) ÷ 9.

Adding and Subtracting Integers. Vocabulary Negative sign –Left side of number line Positive sign –Right side of number line Operation –Action which produces.

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.

Adding & Subtracting INTEGERS Lesson 1-5 & 1-6. Adding & Subtracting INTEGERS ADDING INTEGERS Same sign, add & Keep! Different sign, subtract… BUT take.

Warm-Up Complete each statement with. 1. −9 −2 2.−80 −81 Find the value of each expression. 3.− −6 + (−8) 5.− −5 + (−15) + (−10)

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

Lesson 6-3 Example Find the difference of 3 and –2. Use the number line. Step 1Write the subtraction expression. 3 – (–2)

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

Warm Up Pg. 36 #’s 1-30 EVEN ONLY.

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.

Adding, Subtracting, Multiplying, and Dividing Real Numbers.

Cougar Time. Adding Negative Numbers  What are the two rules for adding integers?  Same Signs = Add and keep the sign  Different Signs = Find the absolute.

2.3 Adding Integers 1 Medina.  Negative number – a less than zero  Positive number – a greater than zero. 2Medina.

Review Adding Integers: (-5) = = (-7) = =

Multiplying and Dividing Signed Integers

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

Adding Integers SWBAT model addition of integers; add integers with like and unlike signs; add more than 2 integers.

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

Unit 1 Rational Numbers Integers.

Understanding Addition of Integers. a. For each example above, what is the distance between 2 and the sum? b. Does the sum lie to the right or left of.

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

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

Integer Review If you are combining two numbers with: SAME SIGNS YOU ADDTAKE THE SIGN OF THE LARGER NUMBER DIFFERENT SIGNS YOU SUBTRACT TAKE THE SIGN.

Chapter 10, Part 2 Diamond Problems Factoring 4/13/20101Medina.

Subtracting Integers Objective: Learn to subtract integers.

A set of whole numbers and opposites ADDING POSITIVE AND NEGATIVE INTEGERS.

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.

Adding Integers. Using Two Coloured Counters We can model integer addition with tiles. Represent -2 with the fewest number of tiles Represent +5 with.

Copyright 2009 Davitily. Adding Integers Step 1: Identify the positive and negative numbers. Step 2: Add or subtract depending on the signs. Step 1: Identify.

Integers Rules of Operation.

Addition of Signed Numbers

SAME SIGNS JUST ADD !! ADDITION OF INTEGERS = (-2) = -10

Using Rules to Subtract Integers

INTEGER RULES Positives & negatives.

Rules of Integers.

SECTION 2.2 ADDING INTEGERS.

Chapter 2: Adding Integers

Objective - To add and subtract decimals.

Lesson #17: Adding Integers

Algorithms for Integer Arithmetic

INTEGER RULES Positives & negatives.

Adding Integers Chp 2.2.

Subtracting Integers Sec 2.3 pg

Chapter 2-2 Adding Integers

Chapter 2: Adding Integers

Presentation transcript:

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

ADDING TWO NEGATIVE NUMBERS Negative + Negative = Negative Negative + Negative = Negative (- 6) + (- 3) = - 9 (- 6) + (- 3) = - 9 When a number is NEGATIVE, you do have to use the (-) sign. When a number is NEGATIVE, you do have to use the (-) sign.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 1: EXAMPLE 1: (- 6) + 3 = -3 COPY DOWN QUESTION

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 1: EXAMPLE 1: (- 6) + 3 = -3 COPY DOWN QUESTION 6 – 3 = 3 Subtract the numbers without negative signs.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 1: EXAMPLE 1: (- 6) + 3 = -3 COPY DOWN QUESTION 6 – 3 = 3 Subtract the numbers without negative signs. = -3 Keep the sign of the larger number.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 2: EXAMPLE 2: 9 + (-12) = - 3 COPY DOWN QUESTION

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 2: EXAMPLE 2: 9 + (-12) = - 3 COPY DOWN QUESTION 12 – 9 = 3 Subtract the numbers without negative signs.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 2: EXAMPLE 2: 9 + (-12) = - 3 COPY DOWN QUESTION 12 – 9 = 3 Subtract the numbers without negative signs. = -3 Keep the sign of the larger number.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 3: EXAMPLE 3: (- 5) + 7 = 2 COPY DOWN QUESTION

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 3: EXAMPLE 3: (- 5) + 7 = 2 COPY DOWN QUESTION 7 – 5 = 2 Subtract the numbers without negative signs.

ADDING POSITIVE AND NEGATIVE INTEGERS Sum of a negative and a positive number - Keep the sign of the larger number and subtract Sum of a negative and a positive number - Keep the sign of the larger number and subtract EXAMPLE 3: EXAMPLE 3: (- 5) + 7 = 2 COPY DOWN QUESTION 7 – 5 = 2 Subtract the numbers without negative signs. = 2 Keep the sign of the larger number.

Remember For Addition: When the signs are the same, add and keep the sign: When the signs are the same, add and keep the sign: 2+2= 4 2+2= 4 -2+(-2)= (-2)= -4 When the signs are different, subtract and keep the sign of the larger number: When the signs are different, subtract and keep the sign of the larger number: 6+(-2)= 6+(-2)= -6+2= -6+2=