Interagers

Today I will show you how to to multiply, divide, add, and subtract Integers.

ADDING

Say the problem is -24+12. To solve it you have to subtract 24 with 12. Why ? Because if you go 24 back from 0 and back 12 it would be the same as subtracting 24 with 12. the answer would be -12. If you had 2 negatives instead of 1 negative and 1 positive, you would add them together.

Same as with two positives.

SUBTRACTING

Watch closely at what I am doing because subtracting is confusing. Say the problem is 9 - (-8). Change subtraction to addition and change the second number to its opposite (2 (-2) ). Do this to EVERY integer subtracting problem. So the problem should look like this 9+8. then add them together. You should get 17.

MULTIPLICATION

say the problem is -7 x -9.If the signs are the same than it is positive, if the signs are different then it is negative. Now with the rule I showed you try to solve it . Did you get 63?

DIVISION

say the problem is 90 divided by -10. You would use the same rules as multiplication. The answer is -9.

VOCABULARY

Integer: the set of whole numbers and their opposites

opposite:a number that is the same distance away from 0 on the number line, but on the opposite side of 0

absolute value: the distance a number is away from 0

INTERESTING LINKS

http://classroom.jc-schools.net/basic/math-integ.html

http://www.mathgoodiens/vol5/intro_integers.htmls.com/lesso

Solving Equasions

Today I will teach you how to do equations. Say the equation is 20W=340. You first have to ask what is being done to my variable? In this case it is being multiplied. You then would have to do the inverse operation(opposite) to both sides of the equation, which would be dividing it. Then you would write out your answer, which would be W=17.

Checking Your Answer

To check your answer you have to rewrite the equation 20W=340. Then you would plug in your answer, 20 x 17=340. Then you would simplify 340=340. Then you would write what your variable equaled, W=17

Vocabulary

The multiplication property of equality is the property that states that if you multiply both sides of an equation by the same number the new equation will have the same solution.

The division property of equality is, the property that states that if you divide both sides of an equation by the same nonzero number, the new equation will have the same solution.

Here are some interesting links about the subject

http://www-math.mit.edu/18.013A/HTML/chapter13/section00.html

http://www.quia.com/rr/42586.html

Factors and Greatest common factors

A factor is a number that divides evenly with another number such as 7 and 42. For example 7 goes into 42 6 times.

Now I will demonstrate how to find factors, list factors, and find the greatest common factor. Lets say the number is 54. To find the multiple you have to find what numbers divide in to it evenly. The multiples would be 1,54,2,27,3,18,and 6,9.the greatest common factor would be 6, 9 because, if you tried any other number, it either doesn't divide evenly or it goes backwards, for example 9,6.



Here are some interesting links about factors and greatest common factors:

http://www.math.com/school/subject1/lessons/S1U3L1GL.html

http://www.helpwithfractions.com/greatest-common-factor.html

Exponents and Scientific Notation

Explaining how to do exponents,
I'm going to teach you how to do exponents. An example of an exponent would be 7 to the power of 3. Which is the number 7 with a little 3 in the upper right hand corner of the 7. How you would figure out what the answer is, you would have to do a procedure that looks like this . You would have to multiply 7 x 7 which equals 49. Then 49 x 7 which equals 343. The reason you do this is because 7 has to be multiplied by it's self 3 times.

Scientific Notation
To figure out scientific notation you would have to do this. Lets say the number is 4,200,000. You have to put the numbers before the 0's at the beginning of the answer, which would be 42, then you put a decimal point right after the first number which would make it 4.2. Then you would count how many spots you moved to the right of the decimal point that would be the power. Then you write 4.2 x 10 to the power of 6. You would write 10 because with every spot that you move to the right past the 2 you make a 0.


Talking about Power, Base, and exponents.
Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied.

How you can use exponents in the real world.
One example of how exponents do kind of connect with our everyday lives: when we speak about square feet, square meters, square inches, square miles, square kilometers or any other area units, or when we speak about cubic feet, cubic meters, cubic centimeters or any other such volume units.
If you talk about SQUARE shaped areas, for example if you say "My room is twelve by twelve square", you're meaning your room is 12 feet x 12 feet, or 122 square feet.
Another kind of indirect example is if you talk about extremely tiny or extremely big quantities. For example, the term 'nanometer' means 10-9 meter. The prefix 'nano' means the number 10-9 - an extremely small number. Or, within computer world you often see megabytes, gigabytes, terabytes. "Mega" means 106 or one million, "giga" means 109, and "tera" means 1012. Or megahertz - million hertz.