Distributive Property Explanation of Distributive Property Distributive Property is a property of...
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Seventh Grade Math Math 3
Distributive Property Explanation of Distributive Property Distributive Property is a property of numbers that ties t he operation of addition ( Subtract)
Distributive Property Explanation of Distributive Property
Distributive Property is a property of numbers that ties t he
operation of addition ( Subtract) and multiplication together. The
Rules Of Distributive Property It says that for any numbers 9, 13,
C, A x ( B + C) = A x B + A x C. For those used to multiplications
without the multiplication sign The same property applies when
there is subtraction instead of addition How It is Used The
Distributive property is used when something in parentheses is
multiplied by something, or, in reverse, when you need to take a
common multiplier but of the parentheses Ex. X(2y-3) : 2 x y 3x
2
Slide 4
P o s i t i v e a n d N e g a t i v e I n t e g e r s Everyone
knows how to add, subtract, multiply, and divide positive integers,
but what about negative inters? If done correctly, negative
integers can be a lot like positive integers. The main thing to
know about negative numbers is that not all equations using
negative numbers are actually negative, they can be positive too!
Think of adding integers like hot and cold cubes, with negative
integers being cold. When you add two or more cold cubes together,
you get an even colder tempeture and vice versa with hot cubes, but
adding hot cubes to cold cubes is a bit more complicated. As
previously stated, negative numbers plus positive numbers are more
complicated than positive plus positive. Using the hot and cold
cube strategy can be helpful. When there are more hot cubes then
cold cubes, the result will be positive, EXAMPLE: -10 + 20 = 10
This is similar to more cold cubes then hot EXAMPLE: 10 + (-20) =
(-10) When using two negative integers, the sign stays the same.
EXAMPLE: -10 + (-20) = (-30) Subtracting negative integers are just
like adding, except when using two different integers. When a
smaller number is subtracted from a bigger number, the result is
negative. EXAMPLE: 5 10 = (-5) When a positive number is subtracted
from a negative number, the answer I decided whether the positive
or negative number is bigger. EXAMPLE: -20 10 = (-10) OR 20 (-10)
When using more than two integers, the larger amount decides the
answer. EXAMPLE: 10 (-20) 30 (-40) = 0 Multiplying integers are
pretty easy: when there are an even number of negative numbers, the
answer is positive. EXAMPLE: -10 x -10 = 20 When there is an odd
number, the answer is negative. EXAMPLE: -10 x 10 x -10 = -200 Use
the same strategety used for multiplying for dividing. EXAMPLE: -10
/ -10 = 100 positive. EXAMPLE: -10 x -10 =20 When multiplying an
odd number of negative numbers, the answer is always negative.
EXAMPLE: -10 x (-10) x 10 = (- 200) EXAMPLE: 10 / (-10) / (-10) =
(- 200 ) THE END!!!!!! !!!!!!! 3
Slide 5
Rule 2 When adding integers if opposite signs, take their
absolute values, subtract smaller from larger, and give the result
with the sign that has a larger value. 15+(-17)=-2 Subtracting Add
the opposite! 4-7 4+(-7) -3 Adding Rule 1 When adding integers of
the same sign, add their absolute value and give the same sign.
Example: -15+(-15)= -30 BY: Ben 4
Slide 6
Adding And Subtracting Integers. BY: Abby Adding integers
having the same sign. Rule #1 Add the numbers as if they were
positive then add the sign of the numbers. Example -5+(-3) or 5+3
then add the sign Rule #2 Adding integers with different signs Take
the difference of the two numbers as if they were positive then
give the result the sign of the absolute value or the bigger
number. Example -5+3 = 2 or 5-3 = 2. Subtracting Integers Rule#1
When we subtract Integers we would ADD THE OPOSITE!!! Then follow
the steps of addition. Example 5-(-3) becomes 5+3 or -5-(-3)
becomes -5+(-3)= -2 Adding integers having the same sign. Rule #1
Add the numbers as if they were positive then add the sign of the
numbers. Example -5+(-3) or 5+3 then add the sign Rule #2 Adding
integers with different signs Take the difference of the two
numbers as if they were positive then give the result the sign of
the absolute value or the bigger number. Example -5+3 = 2 or 5-3 =
2. Subtracting Integers Rule#1 When we subtract Integers we would
ADD THE OPOSITE!!! Then follow the steps of addition. Example
5-(-3) becomes 5+3 or -5-(-3) becomes -5+(-3)= -2 5
Slide 7
Adding and Subtracting Integers ADDITION Rule #1- When adding
integers having the same sign: Add the Numbers as if they are
positive and then add the sign of the numbers. Example: -4+(-8)=?
-> 4+8=12 then add the negative -4+(-8)= -12 Rule #2- When
adding integers having different signs: Take the difference of the
numbers as if they are positive, then give the result of the number
with the greatest absolute value. Example: 8+(-17)=? -> 17-8=9
-> 8+(-17)=-9 Subtraction Rule- Add the opposite! (this rule
applies to all subtraction) then, follow the rules to addition.
Example: 3-(-12)=? -> 3+12=15 & -3-12=? -> -3+(-12)=9
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Slide 8
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Slide 9
Examples: -6 + -2 = -8 -10 + -10 =-20 -2 + -5 = -7 Rule: If you
add two negative Integers you have a Negative Integer. ADD SUBTRACT
MULTIPLY DIVIDE MATH PROJECT AHMER Rule: When you add a positive
integer with a negative integer you get either a Negative or
positive because it depends on which number is bigger. Examples:
-20+10 = -10 45+(-12) =33
Slide 10
By: Brian When multiplying an even number of negative integers
the product will always be positive. Example: -8(-5)=40 Rule#2 When
multiplying and odd number of integers the product will always be
negative. Example:-9(5)=45
Slide 11
Adding and Subtracting Integers Hailey Adding Integers With The
Same Sign Rule: Add numbers as if they were positive, then add the
sign of the numbers Ex. (-3)+(-8) 3+8=11 (-11) Adding Two Integers
Having Different Signs Rule: Take the difference of the two numbers
as if they were positive then give the result the sign of the
number with the greatest absolute value (dominant) Ex. -5+3 5-3=2
(-2) Subtracting Integers Rule: When we subtract integers, we add
the opposite then use the rules for addition Ex. 7-(-6) 7+6=13
13
Slide 12
Distributive property This is the distributive property. 1.You
take the first number/variable and multiply it by the second
number/ variable Example: 3(4+a) 3x4 3(4+a) 3xa 2. Then when you
add or subtract depending on the sign in the problem. Do the same
to the second number variable. Example: 3x4 + 3xa 3.Then finish the
problem. 3x4 12 + 3xa 3a = 12 + 3a 3(4+a) 3x4 + 3xa By:
Isabelle
Slide 13
Slide 14
Multiplying and Dividing Integers By: Tatiana 1.When
multiplying or dividing two integers with the same sign the answer
to the equation is always a positive number. 2.When multiplying or
dividing two integers with different signs the answer to the
equation is always a negative number. 3.When multiplying or
dividing more than two numbers that include a negative number count
how many negative numbers there are. If there is an even amount of
negative numbers then the answer is a positive number. If there is
an odd amount of negative numbers than the answer will be a
negative number. Examples:1.3 3 = 9 -3 (-3)= 9 4 4= 1 -4 (-4)= 1 2.
2 (-5)= -10 6 (-3)= -2 3. -2(-2)-2)(-2)= 16 3(-9) (-8)= 216 3(-2)
(-4) (-2)= -48 -2(-2)(-2)= -8
Slide 15
1) When adding integers of the same sign, we add their absolute
values, and give the result the same sign. 2) 2 + 5 = 7 (-7) + (-2)
= -(7 + 2) = -9 (-80) + (-34) = -(80 + 34) = -114 3) When adding
integers of the opposite signs, we take their absolute values,
subtract the smaller from the larger, and give the result the sign
of the integer with the larger absolute value. 4) 8 + (-3) = ? The
absolute values of 8 and -3 are 8 and 3. Subtracting the smaller
from the larger gives 8 - 3 = 5, and since the larger absolute
value was 8, we give the result the same sign as 8, so 8 + (-3) =
5. 5) By Will Malone Adding Integers
Slide 16
Combine like terms. Using the properties of real numbers and
order of operations you should combine any like terms. Isolate the
terms that contain the variable you wish to solve for. Use the
Properties of Addition, and/or Multiplication and their inverse
operations to isolate the terms containing the variable you wish to
solve for. Isolate the variable you wish to solve for. Use the
Properties of Addition and Subtraction, and/or Multiplication and
Division to isolate the variable you wish to solve for on one side
of the equation. Substitute your answer into the original equation
and check that it works. Every answer should be checked to be sure
it is correct. After substituting the answer into the original
equation, be sure the equality holds true.