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By:Isabella Velez SOLVE EQUATION: DISTRIBUTIVE

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By:Isabella Velez SOLVE EQUATION: DISTRIBUTIVE

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The main idea of the entire thought distributive property  is to multiply each term on the inside of the parenthesis (including the sign in front of it like + or -)with the number outside of the parenthesis. Example: 1(x)=24
You multiply 1 times x that gives you 1x=24 or simply x=24

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Practicing multiplying and diving integers
In this lesson i learned how to multiply and divide integers.

Mia, the purpose of the assignment was to write a Summary. The summary would include the rules for multiplying and dividing integers. Go ahead and update this post below my comment. Just click on the pencil on the top right of this box to edit. __________________________________________
Start here:

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By:Isabella Velez Multiplying and Dividing negatives

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By:Isabella Velez Multiplying and Dividing negatives

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The rules of multiplying and dividing negatives are
1.Positive x positive= positive 2x2=4
2.Positive x negative= negative or 2x-2=-4
Negative x positive= negative (commutative property)-2x2=-4
3.Negative x negative= positive-2x-2=4

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Distributive proberty by samira rodriguez

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Distributive proberty by samira rodriguez

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Distributive property is When you have a number outside the parathensis and mutliply the number inside , example 2(5+x)= 10+2x . The number outside the parenthesis corresponds to ever value inside the parenthesis.

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Mutliplying and dividing integers by samira rodriguez 

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Mutliplying and dividing integers by samira rodriguez 

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When you multiply two positive is positive, negative and positive is negative, and a negative times a negative is a postive. When you divide a negative by a negative you get a positive , a positive by a positive is a positive , and a negative by a positive is negative. For example 18 x 2 = 36, 18 x-2= -36, -18 x -2 = 36. 18 / 2=9, 18/-2 = -9, -18/-2= 9

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When solving equations you start by using distributive property if you have any in the equation . If you don't have any then you start using the opposite operation and working in reverse for example if you have 2x+3=7 you start by subtracting 3 from 7 then dividing 4 by 2 which gives you 2 so x=2 . This is how you would solve with out distributive property . You would solve an equation with distributive property by taking the number outside the perenthisis and multiplying it by what's in side the perenthisis. For example you would solve 3(4x+2) =26 by distributing the 3 to the 4x and the 2 giving you 12x +6 =26 and then you would just solve like you would any other equation.  -Maria Hernandez

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WHO DOES THIS POST or lack of post BELONG TO?

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Multiplying negative and positive integers 

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Multiplying negative and positive integers 

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When multiplying a negative integer with a negative integer the answer will always be positive. When multiplying a positive and a negative integer the answer will always be negative and the other way around. Meaning that the same rule applies when dividing so a positive divided by a negative will be negative and a positive divided by a positive will be positive. So Will a negative divided by a a negative .
For example
-2 • -2 = 4
-2•2= -4
-4 divided by -2 =2
4 divided by -2 = -2

-Maria Hernandez

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Multiplying and Dividing negative x negative= positive
negative x positive=negative
when the signs are diffrent and toy multiply the two numbers you get a negative number. When you multiply and there the same sighs it would be a positive.and diffrent give you a negative number.
ex:
N x P = N
P x N = N
N x N = P

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Multiplying negative and positive numbers
A positive times a positive equals a positive.
A negative times a positive equals a negative.
A negative times a negative equals a positive.the negative cancel out and then it would just be a positive.
ex:
N x P = N
P x N = N
N x N = P
-8 x -5=40
7 x -9=-63

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Solving Equations
A equation is a mathematical
equation that uses the equal sign = to show two expressions that are equivalent. solving equations uses the addition,subtraction, multiplication and division property of equality. Also for solving equations it uses distributive property. distributive property is the property when you multiply a sum by multiplying each addend separated and then add the products/ this is a valid rule of replacements.when you distribute regroup the x terms and the constant make it easier. If you subtract,add,divide and multiple on one side you have to do it in the other side to move them or to cancel themselves. If you want to cancel a negative 3 you would have to add a positive 3.

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Carlos M Multiplying and Dividing Negatives

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Carlos M Multiplying and Dividing Negatives

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Neg *Neg=Pos
-2*-2=4
Neg*Pos=Neg
-2*2=-4
Pos*Neg=Neg
2*-2=-4
Same Signs=Pos
1*1=-1*-1=1
Different Sign=Neg
1*-1=-1*1=-1
0 is not Negative nor Positive
Pos /Neg = Neg
9/-3=-3
Neg/Pos=Neg
-16/8=-2
Neg/Neg=Pos
-56/-6=9

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-9-1(9x-6)=3(4x+6)
-9-9x+6=12x+18
-3-9x=12x+18
-3-21x=18
-21x=21
x=-1

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Carlos M Multiplying & Dividing Positve & Negative Numbers

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Carlos M Multiplying & Dividing Positve & Negative Numbers

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Pos*Neg=Neg
3*-2=-6
Pos*Pos=Pos
3*2=6
Neg*Pos=Neg
-2*3=-6

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Jeffrey Cominsky

What I learned from this lesson is to first solve the equation to get rid of the parentheses. Then use the distributive property to get the variable on one side of the equation and the whole numbers on the other side of the equation to solve for the variable. The most important thing I learned from the lesson is to check my work.

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Multiplying positive and negative numbers Jeffrey Cominsky

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Multiplying positive and negative numbers Jeffrey Cominsky

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In this lesson I learned how to multiply negative and positive numbers. When I multiply 2 numbers with the same sign I get a positive product. When I multiply 2 numbers with a different sign I get a negative product. I also learned that and number positive or negative multiplied by 0 is always 0.

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Multiplying and Dividing positive and negative numbers 

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Multiplying and Dividing positive and negative numbers 

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JEFFREY COMINSKY

In this lesson I learned how to divide and multiply positive and negative numbers and how the rules relate to each other.The most important thing to remember in this lesson is when multiplying and dividing a number with the same sin is always positive and when multiplying 2 numbers with a different sign is always negative.

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When solving for an equations, you have to find the value of the variable that the equation gives you. When solving equations the variable can be on both sides, so anything you do to one side of the equation you have to do on both sides, which gradually makes it harder for you to solve. When you finish solving for  your variable the answer you get should verify the work you did, all you have to do is plug it into the work, and if both sides equal the same number you did your work right. You could also have 1 step equations and 2 step equations, along with equations using inequalities, negative numbers, decimals, and fractions. (i'm so sorry if i did this completely wrong lol)

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ANTHONY CASANOLA

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You are always trying to find x or the variable that is there for you to solve. If the

WHO IS THIS?

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WHO IS THIS?

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You are always trying to solve for x or the variable that is there for you to solve. The variable can be on both sides but it is easier to with it on one side so if you move it

WHO IS THIS??

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WHO WAS THIS?

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Neg x neg=positive
-2x2=4
2x(-2)=4.   Same thing.
-4x3=12
-2x(-7)=14
9x(-5)=-45
54/(-6) =9
0/(-1)= 0.

When they have the same signs they are a positive
When they have different signs they are the negative. The example of dividing by zero will always give you an undefined answer.  -AnthonyCasanola

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When solving equations I learned that the first step, is to get rid of the parenthesis by using distributive property. Once your done with that you see if there are any like terms on each side of the equal sign. Then if you've simplified as much as you could on each side you switch like terms from one side to another side. In order to do that you can either subtract that terms on both sides or switch the term you want to move and a different term on the other side. Then you solve and isolate until you get your variable equal to a value.

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I learned that if you are solving an equation that has parentheses, you are most likely going to have to use the distributive property. The distributive property basically means to multiply what is out of the parentheses by what is in the parentheses. For example, 3(-5+6) would give you 3. 3 times -5 is -15 and 3 times 6 is 18. -15 plus 18 gives you 3. When you are solving equations, you must use the addition, subtraction, multiplication, or division property of equality. These properties allow you to move numbers around the equation. For example, in 3x= 6+3 you must add 6 and 3 to get 9, and then you divide both sides by 3. X would then equal 3. If you are given 2x-5(x+1)=3x+1, you would distribute -5 by multiplying it by the x and 1. Then you would use the addition property of equality to bring the -5 over to the other side. Then you would bring the 3x over to the other side by using the subtraction property of equality. Then you would get 2x-8x=6. 2x-8x is -6x. The you would divide -6 on both sides giving you x= -1

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When solving equations with parentheses, you use the distributive property to multiply the number outside the parentheses to the number(s) inside the parentheses. Then, you use the Properties of Equality and inverse operations to solve the equation. For example, in -9-(9x-6)=3(4x+6), you multiply the -1 to 9x and -6 to simplify the first expression. In the second expression, you multiply 3 to 4x and 6. This is the distributive property. The result would be -9-9x+6=12x+18. Then, you combine the like terms and use the Properties of Equality and inverse operations to solve for x.
-9-9x+6=12x+6
-9x-3=12x+6
-9x-3-12x=12x+6-12x
-21x-3=18
-21x-3+3=18+3
-21x=21
-21x/-21=21/-21
x=-1

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Multiplying and Dividing Negatives Notes - Julianna Ngo

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Multiplying and Dividing Negatives Notes - Julianna Ngo

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When multiplying and dividing negative numbers, there are certain rules. When multiplying or dividing two negative numbers, you first look at the numbers without the negative signs. Then, you multiply or divide the two numbers as if they are both positive. A negative number times (or divided by) a negative number equals a positive number. For example, -2x-2=4, -4/-2=2.
When you multiply or divide a negative number and a positive number or a positive number and a negative number, the result is negative. For example, -2x2=-4 or 2x-2=-4, -4/2=-2 or 4/-2=-2.
When you multiply or divide numbers with the same sign, the product or quotient is positive. When you divide or multiply different signs, the quotient or product is negative. Example: 1x1=1 or -1x-1=1, 1x-1=-1 or -1x1=-1.
Examples:
5x-6=-30
8/-4=-2
-7x-7=49

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In the section 2/4 I learned the same rules as in 1/4 or the practice. But an interesting and useful trick is that whenever you are dividing or multiplying number, if they have same signs then it will be positive and if the signs are different its negative. And whenever a number (positive or negative) is multiplied by 0 the answer  will always be zero because 0 is neither a positive nor negative. And the same rules apply in division. You first look at the numbers and decide what the answer is then you apply the sign depending on the sign becoming a negative or positive. And just like with multiplication any equation containing 0 is still zero even when dividing. Another interesting thing I learned was that if a number if above 0 the answer would be "undefined"

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on the section 1/4 it taught me how a negative times or multiplied by a positive will always give me a negative. And when a negative is divided or multiplied by a negative it equals a positive. I also learned the different ways to set up one simple expression, like 2x3; which can also be written as 2+2+2 or 3+3. Then with the negative numbers put in (as the person teaching on the video said) the equation made better sense when actually applying the n+n= p/p+p=p/n+p=n.

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Distributive Property by Leslie Gonzalez (finished)

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Distributive Property by Leslie Gonzalez (finished)

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(I was trying to edit my last note so I could finish it but I wasn't working so I'm finishing it on this one) You would be left with 18+3, so your expression is much easier to solve.

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Distributive Property by Leslie Gonzalez

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Distributive Property by Leslie Gonzalez

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You would use distribute property to simplify an expression and get rid of parentheses. What distributive property basically is is multiplying the number next to the parentheses to whatever is inside the parentheses. For example, you have the expression 3(6+12). Now, to simplify it and get rid of parentheses, you would multiply the 3 (outside the parentheses) to the 6 and the 12 (both inside the parentheses. You would be left with 18+36, so now your expre

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SOLVE EQUATIONS : DISTRIBUTION                 BY: LAUREN MAYO

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SOLVE EQUATIONS : DISTRIBUTION                 BY: LAUREN MAYO

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An example equation for this lesson is
10(x + 3) = x+5
So first you would use DISTRIBUTIVE PROPERTY and multiply the 10 by
( x+3).
Then  the equation showed look like this
10x + 30 = x + 5

Then you would add like terms but since there aren't any like terms the equation should look the same. I then canceled the x and subtracted and x from 10x. I end up with
9x+30= 5 . After you subtract the 30 so the variable is by itself .
5-30= -25 . Then the equation should look like this : 9x = =25. After you divide 9x by 9 to isolate the variable and divide -25 by nine. x would be equal to -25/9 since that answer is simplified . x = -25/9

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Multiplying and Dividing Integers by Leslie Gonzalez 

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Multiplying and Dividing Integers by Leslie Gonzalez 

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When multiplyng and dividing integers, you will have positive and negative numbers. If you are multiplying or dividing a positive number and a negative number, like -3•4, the anwer will always be negative. Remember: opposite sign= negative number. For example; -3•4 equals -12 and -12/4 equals -3. If you are multiplying or dividing 2 integers with the same sign the answer will be positive, no matter the sign. For example; -3•(-4) equals 12 and 12/4 equals 3.

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I learned that if you are multiplying or dividing a negative integer by a positive integer, then you will get a negative answer. If you multiply or divide two negative integers, you get a positive answer. A negative integer  is a number that is less than zero such as -1, -2, -3, etc...
A positive integer is a number that is greater than zero such as 1, 2, 3, etc... I also learned that you must use specific rules when multiplying and dividing negative integers. A negative integer times a negative integer is a positive integer, and a negative integer times a positive integer is a negative integer. For example, -3 times 9 is -27, and -8 times -5 is 40. If you are multiplying or dividing a positive integer by a negative integer, the order does not matter. This is called the commutative property. The commutative property allows you to move around number still getting the same answer.  For example, -5 times 2 is -10 and 2 times -5 is -10.

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Integers with the same signs are always positive, while integers with opposite signs are always negative.
For Example....
-4 x (-4)= 16                      10/(-5)= -2

NO NAME?

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Always combine your like terms if you can!
When there is variables on both sides of the equation, just cancel one out with a property of equality.
Never forget about the invisible 1 in some equations.
Never forget the distributive property!
Like terms: Terms that a alike in some way, they may have a variable in common or not.
Variables are letters that stand in for certain numbers in an algebraic equation.
EXAMPLE:
-9+(9n-6)=35
-9+1(9n-6)=35
-15+9n=35
9n=45
n=5

NAME?

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    MULTIPLYING AND      DIVIDING INTEGERS         BY : Lauren Mayo 

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    MULTIPLYING AND      DIVIDING INTEGERS         BY : Lauren Mayo 

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Multiplying: the product of a negative times a negative is a  positive. Ex: -5 x -5= 25. The product of a negative times a positive is a negative.
Ex: -5 x 5= -25.
Dividing : the quotient of a negative divided by a negative is a positive. Ex:
-18÷ -6=3. The quotient of a negative divided by a positive is a negative. Ex:
-18÷ 6=-3.
Different signs = negative
Same signs= positive

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P.6 Algebra

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To submit your work and notes for this assignment, CLICK ANYWHERE on this Padlet board. Include your name and NO CHEATING!

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Recommendations have been made on KHAN Academy. 

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Recommendations have been made on KHAN Academy. 

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READ FIRST!!!!

If you have trouble accessing the recommendations, the following Khan Academy code should be added:
N9DYVK.

AND If THAT doesn't work, the posts on this padlet are linked directly to the videos, that are followed by practice problems.

You MUST practice Mult and Div Integers FIRST.
Although you have ALL mastered these skills in Khan already, (???), MANY of you were making mistakes when multiplying integers using the Distributive Property.

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3/4

This link will take you to the beginning of Khan Academy's video lessons on Multiply and Dividing Integers. This is a good resource that will be here for you to review and learn the rules that apply to the Multiplication and Division of Integers.
This is just a RESOURCE, you DO NOT have to watch all these videos, however I HIGHLY RECOMMEND you all view the videos in your own time, to reinforce your skills with integers.

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Learn some rules of thumb for multiplying positive and negative numbers.

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Practicing Multiplying and Dividing Integers

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Practicing Multiplying and Dividing Integers

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1/4

Complete the following practice session on Khan Academy.

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Multiply & divide negative numbers

Multiply & divide negative numbers

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Multiplying negative numbers (practice) | Khan Academy

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4/4

View the video attached.

After you have viewed the Video, double click anywhere on this padlet and post/type the notes you took while viewing. Be sure to include vocabulary and examples.

Your post must include your full name for credit, and no two posts can be similar or a duplicate of another student's work. These are YOUR NOTES!

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Sal solves the equation -9 - (9x - 6) = 3(4x + 6) using the distributive property.

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2/4

View the video attached.

After you have viewed the Video, double click anywhere on this padlet and post/type the notes you took while viewing. Be sure to include vocabulary and examples.

Your post must include your full name for credit, and no two posts can be similar or a duplicate of another student's work. These are YOUR NOTES!

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Multiplying and dividing negative numbers (video) | Khan Academy

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Sal explains multiplying and dividing positive and negative numbers.