Integers Operations:





Vocabulary Lesson:



Integers: Set of whole numbers, positive and negative including zero



Inverse Operation: The operation that reverses the effect of another operation (example: addition and subtraction are inverse operation)



Opposite: Two things that completely negate each other (example: If one is true then the other must be untrue)



Equations: Two numbers that are equal in value, or the basic number "sentence". An equation is a mathematical expression that contains equal signs.





Rules:



Rules for Addition: If the signs are the same, you must add. If the signs are different you will subtract using the biggest number.



Example:



7 + 5 = 12

7 + -5 = 12





Rules for Subtraction: If you change it to addition by doing the opposite of the second number.



Example:



5 - (-7) = 12 or

5 + (+7) = 12



-5, -7 = 12 or

-5 + (+7) = 2





Rules for Multiplication: If the signs are the same then multiply and make it a positive. If the signs are different then multiply and make it a negative.



Example:



6 X 4 = 30

6 X -4 = 30

-6 X -4 = 30





Rules for Division: If the signs are the same then divide and make it a positive. If they are different then divide and make it a negative.



Example:



5 ~ 4 = 20

5 ~ -4 = -20

-5 ~ -4 = 20



If your still lost with the past two steps try this. If there is an odd number of negatives it will be a negative. If there is an even number of negatives it will be a positive. Remember you must multiply or divide first . This rule will only apply to multiplying and dividing problems.



Example:



-2 ~ -2 = 4

-2 ~ 2 = -4

4 ~ -2 = -2

-4 ~ -2 = 2





If you still need help or just want to practice and have fun learning more math games go to:



http://www.funbrain.com/

Solving Equations

Vocabulary for this lesson:

Equations: Two numbers that are equal in value.
Variable: Any letter that represents a number and can vary.
Inverse Operation: The opposite to both sides of the equation.

Ok, now I can start.

The way to solve the equations is to find out what the variable represents (letter to number).

Example:

3 + x = 7 (you have to find out what X is)

Remember, if you are adding you will now do the opposite, subtract. This is the same if you multiply you will divide.

Now here is how to solve:

3 + x = 7
- 3 - 3
x = 4



Double Check Your Answer:

1.) Rewrite Equation
2.) Put in the number & answer you came up with for your variable
3.) Simplify the equation
4.) Your answers should match

3 + x = 7
3 + 4 = 7
7 = 7

Answer: X = 4


* Need extra help? Go to:

http://algebrahelp.com/lessons/equationsbasics/index.htm-on

Factors and Common Factors

Here is my example of how to find out the greatest common factor

Here are the numbers that I choose to work with: 28 and 40

Example: You have to be able to multiply all of these numbers, and they all have to come out to your chosen number: 1 x 28 = 28, 2 x 14 = 28 and then the same goes for the number 40

1, 2, 14, (28)

1, 2, 4, 5, 8, 10, 20, (40)

After looking at all of the above numbers 2 would be your Greatest Common Factor.

sean club house

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