INTEGERS

Today's topic is integers. The vocabulary is integer and opposite. An integer is all the positive and negative whole counting numbers. An opposite is the opposite of a number on the other side of the number line.  Opposite numbers always when added togerther equal zero.  For example -7 + 7 = 0.

Before you can do integers you need to know these rules...

                        If you add two negatives you get a bigger negative like this -9+(-6)=-15

If you add a negative and a pssitive keep the sign of the bigger number and think like your on a # line                                                                      like this -9+6=-3

                          

                        If your doing subtraction you always do plus the opposite. Remember that subtraction does not exist any                                more. Here is an example.

                                                                                      9-(-5)=

                                                                                      9+5=14

                            Just make subtraction addition and change the second number to its opposite. For division and multiplication if both the signs are the same it's a positive number .If they are different it is a negative number. After that it is just regular multiplication/division

                                       When I say signs I mean -/+

                                                                Mr.O'Roark, I am having trouble attaching a great link, but it was the first listing                                                                                        when I googled integers. 

                                     That is how you do integers

algebraic equations

 Sorry last post was a mistake. Today's topic is algebraic equations. The vocabulary for today is the words variable and equation. A variable is a letter that is used to represent an unkonwn number.  An equation is a number sentence that shows that two expresions are equivalent. There are three steps to solving algebraic equations. Step 1  -Ask yourself what is being done to my variable. Step 2 - do the inverse operation of what is being done to the variable. Here is an example the inverse operation of addition is subtraction and the inverse operation of multiplication is division. It is the opposite if division or subtraction is being done. Example of doing this is here.

                                                                                                6=x-9

                               Subtraction is being done to the variable so we do addition. Like this...

                                                                                                

                                                                                              

                               

                                 6+9=15 and since 9 is being subtracted adding nine cancels the nine out. 

Since nine is canceled out all we have left is 15=x which is true we found the variable x=15. All step three is write out the variable equals whatever the answer is. That is it that is how you solve it.

                                                                        That looks likes this

                                                                                       6=x-9

                                                                                     +9=x-9 

                                                                                         15=x

                                                    Now I will teach you how to check it 

First write the equation. Next plug in your answer. Then, add it up and write your answer equals the answer to the equation. Finally write the variable = you answer and that is how you check it Example 

                                                                                    6=x-9

                                                                                    6=15 -9

                                                                                      15=15

                                                                                       x=15

You could use this in life when you fill up your gas tank.If you have 20 dollars and gas is 3.50 a gallon and you want to know how many gallons you can buy you use algebra to find the answer.

algebraic equaitions

Today's topic is factors and greatest common factors. Let's start with factors. Your vocabulary for factor lesson is the word factor. A factor is a number that divides evenly into another number. How do you find them? The number one is a factor of every number. Two is a factor if the number is even. Three is a factor if the sum of the numbers in the number are divisible by three. Four is just divide by two twice. Five is a factor if the number ends in 0 or 5. Six if the number is divisible by 3 and 2. Sevens are hard because it is a prime number. Eight is factor if you can divide it by four twice. Nine if the sum of the digits is divisible by 9. Ten if it the number ends in 0. The hard part is finding the factors other factor. You do this by dividing the factor into the number that your trying to find out the other factor of.  That's factors.To find the GCF you must write out all the factors of the two numbers to find the GCF. The highest idenitical factor of the set is the GCF. That's the GCF. Here are two cool links. http://www.helpwithfractions.com/greatest-common-factor.html and http://amby.com/educate/math/2-1_GCF.html

Exponents and Scientific Notation

Exponents and scientific notation can be very useful.  That is our topic. First, I will start with exponents.  Example  3 to the power of 4. All exponents are is the base number which in this case is 3 times itself  however many times the exponent is and  in this case it is  4. So, to solve this problem we do this 3x3x3x3 = 81 so 3 to the power of 4 equals 81.The vocabulary word used are base and exponent.  Base is the big bottom number, and the exponent is the smaller top number. You would use this in real life in the field of science because  scientific notation can represent very large numbers and very small numbers.  For example, 5.23 x 10 to the third power is scientific notation for 5,230.  How do you determine this? First, you put a decimal point after the first number (only in positive numbers). Next, you write all the numbers before the 0s meaning all the numbers before it turns to endless 0s . Then you go to the end of the # and count all the spaces until you get to the decimal point. Finally, you write x10 to the power of how many spaces you counted and thats it you did it. That was my explanation hoped you liked it.