Integer Operations

Rules

Addition- 1.If the signs are the same then add and keep the sign of the numbers. Ex. 2+3=5 Ex. -4+-5=-9

2.If the signs are different then subtract and keep the sign of the bigger number.Ex. 3-(-5=-2 (-70)+83=13

Subtraction-Change all subtraction to addition by doing the opposite of the 2ND number. Ex. 5-2=3-5+-2=3

Multiplication/Division-Multiply/Divide and if the signs are the same, then answer's positive. If the signs are different, it is negative. Ex. 3*5=15 3*-5=-15 9/-3=-3

Vocabulary

Integers- a set of whole numbers and their opposites

Opposite(of a number)- a number that is the same distance from 0, but on the other side of the number line

Extending The Topic

A website that tells you who invented integers is called http://mathforum.org/library/drmath/view/57212.html

Help

http://www.mathleague.com/help/integers/integers.htm This website gives you info about stuff we have talked about, and stuff we haven't.

How to Solve Equations

The Fundamental Principles of Algebra

1. We are trying to get the variable by itself (isolating the variable).

2. Whatever you do to one side of the equal side you must do to the other side.

Steps For solving equations

1. Ask yourself what is being done to my variable.

2. Do the inverse operation to both sides of the equation.

3. Now, your variable should equal the answer.

Ex. 2+n=8 1. I am adding 2 to my variable.

-2 -2 2. I subtracted 2 from 2 and 8

n = 6 3. So, n = 6.

Checking Equations

1. Rewrite the problem. 2+n=8

2. Replace the variable with the answer. 2+6=8

3. Do all the operations to get your answer. 2+6=8

8=8

4. Your variable should equal the answer. n=6

Vocabulary

Equation: two numbers or expressions that are equal in value

Variable: any letter that can represent a number and can vary

Inverse Operations: operations that undo each other (do the opposite)

2 Step Algebra

1.What is being done to my variable? 2+ 7x=58

2. Make whatever number that is not with the variable a 0. -2 -2

3. Do inverse operations to the number next to the variable. 7x=56

7x/7=56/7

4.One times anything is itself. 1x=8

5. The variable should equal the answer. x=8

Extra Help

http://www.inmath.com/Basic-algebra/Basic-algebra-intro.php- this is a home page to many places where you can get help for algebra.

http://www.algebrahelp.com/lessons/equationbasics/index.htm-on this site look at pages 1-5.

Factors and GCF

Factors: any number that can divide into another number evenly

Ex. 12/6=2
6 and 2 are factors of 12, because they divide into it evenly. An application of this could be used for fractions.

Ex.50/100=25/50 I divided the numerator( the top number ) and the denominator( the bottom number ) by 2 to get the fraction 25/50.

Now we'll move onto the big picture, GCF ( greatest common factor) which is the biggest common factor of the 2 or more numbers given.

Ex. 12>1,12,2,6,3,4 As you can see the GCF of these three numbers is 12.
24>1,24,2,12,3,8,4,6
36>1,36,2,18,3,12,4,9,6

Need Help!!!!!!!
go to http://www.algebrahelp.com/lessons/factoring/findgcf/index.htm and to find extensions on this topic. This is me signing out.

Eponents and Scientific Notation

First, we will talk about exponents. Exponents are made up of two numbers. The base and the exponent. The base is the number, ex. 6. The exponent is the number of times you multiply itself by. So instead of writing 3x3x3x3, you could just write 34. Now, I'll talk about scientific notation. It is an easier way of writing large numbers. So, instead of writing 54,300,000,000,000; you could just write 5.43x1013. An example of this for something small could be the mass of a carbon 12 atom which is 1.66x10 to the -27th power. To find an extension of this topic, go to http://www.purplemath.com/modules/exponents.htm.