Numbers Working with negative numbers. Numbers There are many different ways of adding and subtracting negative numbers; we all have different methods.

Slides:



Advertisements
Similar presentations
CALCULATOR MANIPULATION. Due to the differences in calculators you will have to be able to use your own effectively.
Advertisements

Partial Quotients Division Algorithm. Quick Slate Review Solve the following problems. ……. Ready……… …………..Set………….. ………Go!
Multiplying with Integers
Pythagorean Theorem Created by: Matthew Funke 8 th Grade Math Teacher Central Middle School West Melbourne, FL.
Factoring a Quadratic Trinomial Step 2: Insert the two numbers that have a product of c and a sum of b. 2 and 5 are the factors of 10 that add up to 7.
Unit 7, Lesson 2 The Area Model for Multiplication “What do you mean, it’s the wrong kind of right?”
Adding and Subtracting
Hills and Dales I am learning to add and subtract integers (positive and negative numbers). -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5.
Vectors Sections 6.6.
Mr Barton’s Maths Notes
Adding and Subtracting Rules. When adding or subtracting numbers that have the same sign, you add the numbers together and keep the sign = 8 7.
Exponent Rules Repeated Multiplication Remember: so and.
Solving Algebraic Equations
POSITIVE AND NEGATIVE NUMBERS
The Answer is RIGHT.
Integers Unit I, Lesson 2 Online Algebra
If m and n are positive integers and a and b are real numbers (b0 when it is a denominator), then: Let’s review some properties of exponents where the.
How to add/subtract positive and negative numbers.
Binary Arithmetic Math For Computers.
Subtraction Using Pencil & Paper Methods
Scientific Notation.
Maths Notes Number 5. Decimals
Objective How to solve Integer problems
Mathematics Class VII Chapter 1 Integers.
Chapter 2.2 Scientific Notation. Expresses numbers in two parts: A number between 1 and 10 Ten raised to a power Examples: 2.32 x x
Consider the statement 1000 x 100 = We can rewrite our original statement in power (index) format as 10 3 x 10 2 = 10 5 Remembering (hopefully!)
1. Solve equations with variables on both sides. 2. Solve equations containing grouping symbols Objectives The student will be able to: Designed by Skip.
The student will be able to: solve equations with variables on both sides. Equations with Variables on Both Sides Objectives Designed by Skip Tyler, Varina.
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.
Factoring means finding the things you multiply together to get a given answer.
Scientific Notation Read through this lesson on scientific notation and then complete the handout. Keep this power point presentation on your laptop and.
Scientific Notation. Scientific Notation At the conclusion of our time together, you should be able to: 1.Define scientific notation 2.Convert numbers.
Sums and Differences of Rational Expressions Putting factoring skills to use again (7.8)
Mr Barton’s Maths Notes
with Severus Snape Professor of Potions
Interesting Integers!. What You Will Learn Some definitions related to integers. Rules for adding and subtracting integers. A method for proving that.
 Lets Review Integers (you do not need to write this part down)
Adding & Subtracting INTEGERS Lesson 1-5 & 1-6. Adding & Subtracting INTEGERS ADDING INTEGERS Same sign, add & Keep! Different sign, subtract… BUT take.
Rules for Means and Variances. Rules for Means: Rule 1: If X is a random variable and a and b are constants, then If we add a constant a to every value.
Time to Teach Presents Year 5 (National Numeracy Strategy) (Based on DFEE Sample Lessons)
Adding, Subtracting, Multiplying, and Dividing Real Numbers.
Addition and Substraction
Subtracting Integers! By Zachary E. Hebrank.
Square Roots/Addition
PS Algebra I. On the properties chart…  Addition, Subtraction, Multiplication, and Division Properties of Equality  these equality properties are the.
1. solve equations with variables on both sides. 2. solve equations containing grouping symbols. Objectives The student will be able to:
Measurement Adding and Subtracting Fractions with Different Denominators.
1. solve equations with variables on both sides. 2. solve equations with either infinite solutions or no solution Objectives The student will be able to:
Calculating with Negatives THE FOUR RULES AND NEGATIVE NUMBERS.
CHAPTER 4 Negative Numbers. ADDITION AND SUBTRACTION USING NEGATIVE NUMBERS A number line is very useful when you have to do additions or subtractions.
FRACTIONS Basic Fractions Addition and Subtraction.
Do Now Graph both of these functions on the same graph from –2 ≤ x ≤ 2.
Solving 2 step equations. Two step equations have addition or subtraction and multiply or divide 3x + 1 = 10 3x + 1 = 10 4y + 2 = 10 4y + 2 = 10 2b +
Section 1.2. Why use it?  Some numbers are too big or too small to write using regular form (also called standard notation)  Using Scientific Notation.
Standard Form Objective: To be able to understand and use standard form.
No Pencil or Paper Needed!.  Make sure you know your multiplication tables up to 10.
3-2: Solving Linear Systems. Solving Linear Systems There are two methods of solving a system of equations algebraically: Elimination Substitution.
Copyright©amberpasillas2010. You have learned lots of things about adding and subtracting integers. Let’s review addition !
Elimination. Take a look at these two equations. 2x + 5y = 17 6x – 5y = -9 Notice that both equations has a 5y term in it. One that is positive and one.
6.1b Adding And subtracting polynomials
Pythagorean Theorem MCC8.G.6-8: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems.
Algebra.
How to survive WITHOUT your calculator!
Topic 1: Be able to combine functions and determine the resulting function. Topic 2: Be able to find the product of functions and determine the resulting.
SECTION 2.2 ADDING INTEGERS.
Add or Subtract? x =.
Slideshow 14 Mr Richard Sasaki
Fractions & Mixed Numbers (Adding & Subtracting)
Presentation transcript:

Numbers Working with negative numbers

Numbers There are many different ways of adding and subtracting negative numbers; we all have different methods we prefer. The following slides will show some techniques you may not have seen before. Hopefully this will help in the next challenge.

Numbers Adding two numbers together is simple and can be done either way round: 4 + 7= = 11 As soon as we subtract numbers however, it DOES matter which way round they go: 4 - 7= = -3

Numbers Try working with a thermometer Start on the thermometer at the first number Subtract 5 means you will drop down even further to - 9

Numbers Try this one = ? Start on the thermometer at the first number Add 8 means the temperature increases to …….? + 6

Numbers Lets just look at the subtraction again a bit more carefully Notice that the resulting numbers are the same, it is just that when we take the larger number from the smaller number, the result is a negative number. We can use this to make life a lot easier for ourselves = = -3

Numbers = = -7 Have a go at these = = -5 so = = -113

Numbers What about this business with loads of + and – calculations? We can look at this thinking about temperature C add -4 0 C (which means adding more cold air) will bring down the temperature even lower to C

Numbers There is a quick alternative – but you have to learn it and be very careful with it is the same as just is the same as just is the same as just – - + is the same as just –

Numbers Many of you will recognise this from multiplying positive and negative numbers Is the same a = Is the same a 4 + 8= 12

Numbers To get good at this you have got to be able to practise…. Regularly. No homework? Then randomly make up addition and subtraction calculations with different combinations of positive and negative numbers. Check you are getting them right with a calculator

SIMPLES!