(computer – Online Book)

Slides:

Advertisements

Similar presentations

2.1 Integers & Absolute Value 2.2 Adding Integers.

Advertisements

RATIONAL NUMBERS NATURAL NUMBERS {1, 2, 3,…}+ {0} = WHOLE NUMBERS {0, 1, 2, 3,…}+ NEG. WHOLE NOS. = INTEGERS {…-2, -1, 0, 1, 2,…}+ PURE FRACTIONS = RATIONAL.

Adding rational numbers Essential question: How can you add rational numbers? Unit 1-2.

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)

INTEGERS: adding, subtracting, multiplying, and dividing

Adding Integers with Different Signs

Lesson 2-2 Adding and Subtracting Rational Numbers.

September = = = =

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

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

1.2 ADDING AND SUBTRACTING INTEGERS I can find the sums and differences of integers by using a number line or using SSA/DSS.

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

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

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

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 =

Lesson 2.3 Subtracting Integers View in “Slide Show” mode.

Chapter 3 Lesson 2 Add Integers.

Section 2-4: Adding Integers using Rules

Add and subtract integers

Rules for Adding & Subtracting Integers

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Warm-up 1.5 Write the absolute value and opposite of:

Integer Rules Memorize the Rules.

Warm-up Solve each equation 4+13= −3+7= 4−13= −3−7=

Chapter 3 section 4 Adding integers

Adding Integers with Different Signs

Addition of Signed Numbers

Multiplying and Dividing Signed Integers

Adding and Subtracting Integers

(Clickers & computer – Online Book)

Using Rules to Subtract Integers

1.1 Integers and Absolute Value

(computer – Online Book)

INTEGER RULES Positives & negatives.

8 + (-6) = ? = ?.

Integers: The set of counting numbers, their opposites and zero

Adding and Subtracting Real Numbers

The Integer Song.

Chapter 2: Adding Integers

1 Introduction to Algebra: Integers.

OR a RATIONAL NUMBER is any number that can be written as a fraction.

INTEGERS Chapter 4.

Adding and Subtracting Integers.

Learn to solve equations with integers.

Lesson #17: Adding Integers

Integers & Absolute Value

Compute with Integers.

Adding Integers To add two integers with the same sign, find the sum of their absolute values. Use the sign of the two integers. To add two integers with.

Representing Integers

Objectives Add real numbers. Subtract real numbers.

INTEGER RULES Positives & negatives.

Adding Integers Unit 1 Lesson 6

Objectives Add real numbers. Subtract real numbers.

Adding and Subtracting Integers

Subtracting Integers Sec 2.3 pg

OR a RATIONAL NUMBER is any number that can be written as a fraction.

L8-2 Notes: Adding Integers

Bellringer 7 = 10 = -100 = 5 - 8 = (7^2 – 3^2 + 10^2) / 7 =

Integers 8/16/16.

Review of Integers and Solving Equations

Multiplying and Dividing Signed Integers

Multiplying and Dividing Signed Integers

Operations with Integers

Chapter 2-2 Adding Integers

Take out your agenda and write your homework in it.

Chapter 1 Introduction to Algebra: Integers

Adding and Subtracting Real Numbers

Presentation transcript:

(computer – Online Book) 1.3 Adding Integers (computer – Online Book)

opposites 2 and –2 The corresponding number located the same distance from zero, but on the opposite side of the number line For example 2 and –2 2 units 2 units -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

NOTE: Another name for opposite is Additive Inverse. opposites Also… –6 and 6 6 units 6 units -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 NOTE: Another name for opposite is Additive Inverse.

Additive Inverse Property The sum of an integer and its opposite is always 0. a + (–a) = 0 7 + (–7) = 0

Rule #1 for Adding Integers If the signs of two integers are the same (both positive or both negative) Add the integers. Keep the original sign of the integers. For Example… –2 + (–8) – 10 Use “Counters” & check with “Number line”.

Simplify –3 + (–5) – 8 Use “Counters” & check with “Number line”.

Simplify –15 + (–13) – 28 6 + 13 19 Try it!

Rule #2 for Adding Integers If the signs of two integers are different (one positive and one negative) Subtract the numbers. (Ignore the signs for now.) Keep the sign of the integer with the greatest absolute value. (farthest number from zero) For Example… 2 + (–8) – 6 Use “Counters” & check with “Number line”.

Simplify –6 + 9 3 Use “Counters” & check with “Number line”.

Simplify –15 + 13 – 2 3 + (–24) – 21 Try it!

Simplify –4 + (–17) – 21 Try it!

Simplify –15 + │–13│ –15 + 13 – 2 Try it!

Simplify │–63│ + │–33│ 63 + 33 96 Try it!

Simplify │–11 + (–31)│ │–42│ 42 Try it!

Simplify –9 + (–6) + 4 –15 + 4 – 11 Try it!

Simplify –2 + 5 + (–8) –10 + 5 – 5 Try it!

Simplify 9 + (–7) + 2 11 + (–7) 4 Try it!

│a│ + │b│ + a for a = –5 and b = –1 Evaluate │a│ + │b│ + a for a = –5 and b = –1 │–5│ + │–1│ + (–5) 5 + 1 + (–5) 1 Try it!

Sample Application Problem (Please refer to Textbook Example 3 on p.11)

Homework p.12 1-7 all,12-44 even, 53 (MC #4,5,6)