Subtracting Positive and Negative Integers

| View | Upload your own

Integers

problem: -55+44=
explanation : your down -55 points you earned 44 more points. you have to go from negatives to positives. if this was on a number line you would go up from -55. you would move up 44. your answer would be -11.


Bianca Nigro

Solving Word Problems By Sabria Brown

| View | Upload your own

Megan Doe--> multiplying fractions

http://i108.photobucket.com/albums/n15/danceupchick/Photo610.jpg

click the link to see a picture of the problem done step by step :D

Decimals

Here's how to convert .125 to a fraction...

There is not much that can be done to figure out how to write .125 as a fraction, except to literally use what the decimal portion of your number, the .125, means.

Since there are 3 digits in 125, the very last digit is the "1000th" decimal place.

So we can just say that .125 is the same as 125/1000.

The fraction is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by 125.

Why divide by 125? 125 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 125 and 1000.
So, this fraction reduced to lowest terms is

So your final answer is: .125 can be written as the fraction

The Cancellation Method by Da Vonte Martin

|

divison to multipication

Math Benchmark

From: rhaq, 3 minutes ago

| View | Upload your own

SlideShare Link

Equations

o We find the M.C.M of 5,4,2,4 = 20, so we multiply everything by 20 so it allows us to created and easier expression.
o We put all the variables on one side, and all constants on the other side.
o In order to find x we divide 30 by 2.

¾ x – ¾ = ½ x + ¾
60/5 x – 60/4 = 20/2 x + 60/4
12x – 15 = 10x + 15
12x – 10x = 15 + 15
2x = 30
x = 30/2
x =15

Combining Alike Terms

| View | Upload your own

Reversing Operations

| View | Upload your own

Sequences

Sequence equations rely on previous values to derive new ones. They use formulas that help find the ext one, instead of guessing. Arithmetic sequence is when your adding together or subtracting, Geometric is multplying or dividing. The Recursive formula, helps you find the next value in the graphing, but when you use the Explicit frmula, you can use it to find any number, without depending on the last one.


Example (Geometric//Recursive):
A(n)=(An-1) x 3

n An
_
1 3
2 9
3 27
4 81

Combining Alike Terms

When combining like terms, some people who are not very experienced with this topic commonly do the same thing. This thing is combining things that seem to be alike, but are not.
For example, you can combine -6a+-4a. However you cannot combine them if one of them has an exponent.

For example you cannot combine

, because -4a does not have an exponent.

Here is an example of how to combine like terms,

6a - 5 - 4 - 2a - 7

6a + -2a = 4a

-5 + -4 + -4 = -16

So now after combining the terms that are alike your new equation is,

4a - 16

Zero-Product Property

| View | Upload your own

Evans Problem Addition into Subtraction

The way to change addition to subtraction is to change the second Number into the opposite type of number it is at the time and then subtract .

Example


5+3=8

5- (-3) = 8

Kim's Inverse Property

example:
4 - 3 = 1

to change that into a addition problem you would have to change the subtraction sign into a addition sign

4 + 3

That isn't it. After you put in the addition sign, you have to turn the 3 into a negative.
The problem would now be

4 + (-3) = 1


http://mathforum.org/dr.math/faq/faq.property.glossary.html

example:
4 - 3 = 1

to change that into a addition problem you would have to change the subtraction sign into a addition sign

4 + 3

That isn't it. After you put in the addition sign, you have to turn the 3 into a negative.
The problem would now be

4 + (-3) = 1

example:
4 - 3 = 1

to change that into a addition problem you would have to change the subtraction sign into a addition sign

4 + 3

That isn't it. After you put in the addition sign, you have to turn the 3 into a negative.
The problem would now be

4 + (-3) = 1

Da Vonte Martin how to cancel equations

| View | Upload your own

Amira Young's Problem

| View | Upload your own

Katherine Romans

The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself. The number 1 is called the "multiplicative identity."

Multiplication 
2c × 1
2cMultiplication 
2c × 1
=
2c

Reversing Operations

The way to change addition into subtraction is subtract a negative instead of adding the positive.

Commutative Property of Addition

| View | Upload your own

inverse multiplacation

| View | Upload your own

Cancellation Method

5(3a+2a)=10+15
5(5a)=25
25a=25
25 25

a= 1

6(2x+1x)=21+15
6(3x) = 36
18x=36
18 18

x= 2

Inverse Property

math code

Arithmetic Sequences Brett

Associative Property
for Addition- Camille Mo.
Associative Property in addition is when the factors does not charge the outcome when adding in a different order example:
(a + b) + c = a + (b + c)

for Multiplication- Alex M.

Combining like terms Roberto

Commutative Property
for Addition- Ryan
Ryan Boyer
12/17/07
Information:
Commutative Property- The Commutative property tells you that the result of operating on two numbers is independent of their order.
-In simpler terms the " Commutative Property of addition" basically means you can switch the numbers around when adding and still get the same sum.

Examples:
1. (a+b)5= 5(a+b)
2. n+2= 2+n
3. (a+b)(c+d)= (c+d)(a+b)



for Multiplication- Camille Ma.
Info: The Commutative property for multiplication is a lot like addition; The order we multiply numbers doesn't matter because the answer will be the same.For multiplication, the rule is "ab=ba" or in numbers, 3•2=2•3.
Example: (Remember a•b=b•a)
1. 2•(3)=3•(2)
2. 5•(3)=3•(5)


Decimals
Changing decimals to fractions -Morgan

Different Sequences
-Fibonacci Sequence: see wikispace
-Pascal's Triangle: see wikispace
-Power Sequence: see wikispace
-Sierpinski Triangle: see wikispace
-Triangular Numbers: see wikispace
-Rectangular Numbers: see wikispace

Distributive Property -Melissa

Equivalent Expressions James
-How do we know expressions are equivalent?

Factoring
-Undoing the Distributive property Anthony

Fractions
-Multiplying Fractions Megan
-Equivalent Fractions Talib
-Adding Fractions Alexis
-Changing fractions to decimals Justin


Geometric Sequences Robert

Graphing Sequences -Bria


Identity Property
for Addition- Shanice
for Multiplication- Katherine

Inverse Property
for Multiplication- Andre
-Inverse Property of Multiplication: a (1/a) = 1 as long as a is not equal to zero
-Its basically just a way to multiply a fraction instead of diving a whole number once you get down to the last step.
-It may be easier to use the normal way (which is to divide). Especially if not good with fractions.

Examples:





for Addition- Kim

The formula for this is a + (-a) = 0

example:
4 - 3 = 1

to change that into a addition problem you would have to change the subtraction sign into a addition sign

4 + 3

That isn't it. After you put in the addition sign, you have to turn the 3 into a negative.
The problem would now be

4 + (-3) = 1

I did problem #1 from section 1 on the take home test.

Simplfying Equations

Simplifying Expressions -Lena
An equation is simplified when all like terms are combined and parentheses have been removed.
Lena's Simplifying Expressions
Simplifying Expressions

1) Remove parentheses by multiplying factors (sorta Kinda like Distributive Properties when you take the parentheses and destroy them to make an equation with out parentheses).
2) Use exponent rules to remove parentheses in terms with exponents
3) Combine like terms by adding coefficients
4) Combine the constants

EXAMPLE

(first take of the parenteses of the equation)
10+5x+15x+12-(x^2)^2 (this is what it should look like now)
10+5x+15x+12-x^4 (Next you take the exponents and multiply them)
At this time you can take the terms you have and combined them!
(we will do the x's first you have to make sure that they match with the same ones)
10+20x+12-x^4 ( I combined the x' together because they were the same. I didnt combined it with the other x because even though they have the same variable they have to different things that make them different)
22+20x-x^4 ( I combined the next one as well just like how I did in the previous one)
Your done! But to make it perfect in Simplifying Equations you must make sure that it is in a certian order. You put it in You start with the largest Exponent and work your way down UNTIL you get down to the end.
-x^4+20x+22)
Thats how you simplfy an equation!
THE END (lena was here)

Class Notes 12/17/07

Here are class notes from Monday.

| View | Upload your own