Rational numbers Adding integers Subtracting integers

Slides:

Advertisements

Similar presentations

Integers Free powerpoints at

Advertisements

Adding and Subtracting Rational Numbers

2.1 Integers & Absolute Value 2.2 Adding Integers.

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.

Subtracting Rational Numbers

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)

1.1 Adding and Subtracting Integers Objective: Add and subtract integers.

INTEGERS: adding, subtracting, multiplying, and dividing

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

Grade 9 Integer Review Review Day 1.

ALGEBRA 1 Operations with Integers

Rules of Integers. Positive numbers are numbers that are above zero. Negative numbers are numbers below zero.

A Slide Show by Mr. Mark Martin. Integer Operations Integers are all the positive and negative numbers and zero. –In set notation: {... -2, -1, 0, 1,

Objective How to solve Integer problems

The Basic of Algebra BY Nathaniel Jefferson. The Number Line  |  0 Always start at zero.

Subtracting Positive and Negative Integers

Addition, Subtraction, Multiplication, and Division of Integers

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.

Click to Begin Click to Begin. Multiplying/ Dividing Rational #’s Rational #’s Mean, Median, Mean, Median, Mode and Mode and Sequences Rational Numbers.

Adding and Subtracting Rational Numbers

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

Operations with Integers

Definitions Add & Subtract Multiply & Divide ExponentsMixed.

Math 081 Day 2 Adding and Subtracting Integers. The Number Line Integers = {…, -2, -1, 0, 1, 2, …} Whole Numbers = {0, 1, 2, …} Natural Numbers = {1,

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

Irving Middle School1 Integers Warm-Up Answer the Essential Question: When and where must you be able to solve problems with positive and negative numbers.

Adding Integers When adding integers use SADS. If the signs are the same, add the numbers and take the sign of the largest absolute value. If the signs.

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.

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:

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.

Operations with Integers PowerPoint Created By: Ms. Cuervo.

 Add and Subtracting Positive Numbers. Positive Number- A number greater than zero

Signed Rationals. What are signed rationals? Signed rationals are rational numbers with negative and positive signs. To solve signed rational problems:

Multiplying and Dividing Signed Integers

What are Integers?? Many situations cannot be represented by whole numbers. You may need negative numbers to show a loss, a temperature below zero, or.

Adding, Subtracting, Multiplying, and Diving Integers!!!

POSITIVE AND NEGATIVE NUMBERS QUESTIONS TO BE ANSWERED: 1.How do positive and negative numbers help describe a situation? 2.How can a number line help.

Unit 1 Rational Numbers Integers.

Math in the Workplace Negative numbers.

Calculate the Following (Group A): – – (-5) (-5) 5. 3 – (+5)

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

Integers. Definition Positive integer – a number greater than zero

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

Operations with Integers PowerPoint Created By: Miss Henry.

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 MULTIPLYING AND DIVIDING REAL NUMBERS.

3 Chapter Chapter 2 Fractions and Mixed Numbers.

Integers Rules of Operation.

Adding, Subtracting, Multiplying, and Dividing Integers

Integer Operations! A Slide Show by Mrs. Farrell.

Operations with Integers PowerPoint

Addition of Signed Numbers

Adding and Subtracting Integers

Adding and Subtracting Integers is like …

Domain 1: The Number System

Subtracting Integers 8/23/16.

Unit: Operations with Rational Numbers

Multiplying and Dividing Integers

Warm-up August 14, 2017 Solve the following: 3/5 + 2/5 = 1/3 + 2/3 =

Chapter 2: Adding Integers

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

Integers & Absolute Value

Warm-up August 15, 2016 Solve the following: 3/5 + 2/5 = 1/3 + 2/3 =

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

Operations with Integers

Integers Blast Off

Chapter 2: Adding Integers

Presentation transcript:

Rational numbers Adding integers Subtracting integers Multiplying/Dividing Integers Absolute Values Drawing problems using + and – signs Number lines

Rational numbers are numbers that can be written as a fraction Fraction = Ratio Examples: 1.5 is rational = 3/2 3 is rational = 21/7 60% is rational = 60/100 -2 is rational = -6/3

Positive or negative whole numbers Integers Positive or negative whole numbers

-3 -2 -1 0 1 2 3 4 5 6 Absolute value: the distance of a number from zero on a number line -3 -2 -1 0 1 2 3 4 5 6

Adding Integers: -5 + -3 = 8 + (-2) = **SHOW ON NUMBER LINE Same signs Different signs Add together Subtract Keep the sign of both numbers Keep the sign of the number with the largest absolute value -5 + -3 = 8 + (-2) = **SHOW ON NUMBER LINE

Practice problems Solve and show on a number line. 3) -5 + -8 = 4) 3 + (-4)=

Subtracting Integers: **KEEP-CHANGE-CHANGE RULE** (KCC) **Use ADDITION RULES -7 - 4 = 2 - (-5) =

Practice problems Solve and show on a number line. 3) -5 - 8 = 4) 3 - (-4)=

Multiplying and Dividing Integers: Multiply or divide then: Same signs Different signs Positive negative 1) -5 x (-4)= 2) 8 x (–2) =

Practice problems Solve. 3) -3 x 6 = 4) 7 x (-4)=

Showing adding/subtracting with a drawing: -4 + 7 = -3 _ _ _ _ + + + + + + + Cancel out any + and – pairs because they will equal ZERO. The signs you have left over is your answer. **On SUBTRACTION PROBLEMS you MUST Keep-Change-Change before drawing the picture!

Showing adding/subtracting with a number line: + Go right - Go left -7 + 6 = -1 Plot -7 on the number line You are adding POSITIVE 6, so you will move to the RIGHT Fill in your number line Plot your answer (-1) Go right 6 because you are adding a POSITIVE 6! -7 -6 -5 -4 -3 -2 -1

Example 2 on a number line: -5 – 8 = Keep-Change-Change New problem: -5 + (-8) = -13 Plot -5 on the number line You are adding NEGATIVE 8, so you will move to the LEFT! Plot your answer (-13). + Go right - Go left Go left 8 because you are adding a POSITIVE 6! -13 -12 -11 -10 -9 -8 -7 -6 -5

Group Work—everyone COPY down! **Draw a number line for each problem with ** beside it! -5 + 10 = 5) 7 – 12 = 9) -4 x 2 = 4 + 3 = 6) -5 – 1 = 10) 3 x (-7)= -8 + (-6) = 7) -2 – (-3) = 11) -8 x (-3) = 4) 6 + (-4) = ** 8) 1 – (-5) =** 12) 6 x 7 =

Word problems Bob owed Sally $6. He wanted to buy a drink at the ballgame, so he borrowed $2 from Sally. What integer represents the amount Bob owes Sally? Baby Marco weighed 12 pounds. He lost 3 pounds when he was sick, but gained 7 pounds in the last 2 months. What integer represents his current weight?