Integer Operations

An integer positive or negative number. with these integers, you can add, subtract, multiply, and divide. I am going to teach you how to do all the operations with positive and negative.

First, I will teach you how to add. First thing you have to do is see if they are positive or negative numbers. If you have two negatives, it is a negative. If you have two positives, it is a positive. If you have one of each, the answer will be the sign that the greatest number has. You probably know how to add two positives, so we will start with negatives. Say you have -5+-2. I pretend the negative signs are not there and just add. 5+2=7. Then, I add on the negative sign to the answer and that is how too add two negatives. 7=-7. here is how you do one of each. There really is not a rule except that whatever sign th greater number has, the answer has. say you have 4+-6. -6 is greater, so you know the answer is negative. you add on 4 to -6 and you get -2. 

  Now subtraction is tricky, so pay attention. Say you have 4--2. I like to use the two pencil mark rule which is when you change subtraction to addition and the second number to its opposite. the new problem would be 4+2. you already know how to add, so you just add and get the answer. 4+2=6.

Lastly, I am going to teach multiplication and division because they have the same rules. If you have two positives, it is positive. If there are two negatives, it is positive. If you have one of each, it is a negative. You basically multiply or divide like a normal problem and add that positive or negative sign to the answer. Here are some examples. -4x6= -24.   

42 divided by -6= -8.

  that is how you do all the operations on integers.

Operations on Integers Lessons by MATHguide

Steps For Solving Equations

For a example, say you have the problem x+8=10. you have to figure out what x equals. The x is called a variable. The variable can be any other letter. The first step to do that is split both sides of the equals sign so you have x+8 on one side, and 10 on the other. You always use in this case the number 8 and since you are doing addition, you would subtract 8 from the numbers 8 and 10. 8 and 8 are not anything anymore, and 10 is now 2 and then you figure out that x=2.

Then, to make sure you are right, you have to check it. First you rewrite the problem. x+8=10. Next, you plug in the answer you got. 2+8=10. You see two tens so then you write down 10=10 because these are both your answers. Lastly, you write down what the variable equals. x=2.

Factors and GCF

First i am going to tell you how to find factors. Lets say you have the number 30. Now you have to list all the numbers that go into 30. There are 2 different ways to list the factors, but this is how I like to list them. First, I know that 1 and 30 are factors so i put down 1,30. Then, since it is a even number, i know 2 goes into it with 15 because 15x2 is 30. Now I should have down 1,30,2,15. You probably get it now so I will just put down all the factors. your final answer should be 1,30,2,15,3,10,5,6.

Now I am going to talk about the GCF. GCF stands for Greatest Common Factor. We will use 30 as a example again. First, I like to list all the factors. 1,30,2,15,3,10,5,6. We cannot use 30 because you are not supposed to use the number listed or it would be to easy. Now we take the biggest number out of the factors and in this case it would be 15. 15 would then be your answer.   

http://mathforum.org/dr.math/faq/faq.learn.factor.html

Exponents and Scientific Notation

First I am going to tell you about exponents. They are tricky at first, but you will get it in a little. For a example lets say you have the number 32. The three is the base number because that is the main number that you will be multiplying with. The 2 is the exponent that shows how many times the base number multiplies. The answer for 32 would be 9 because 3x3=9.

Next there is scientific notation. Say you have the number 520,000. First the easy part is you put down 52 because those are the only numbers besides 0. Then you count how many 0's there are. In 520,000 you would put down 52 and the since there are  4 0's you would put down 524x10 and thats your answer.