Download - AFS7 Math1
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SEVENTH GRADE POWERPOINT
Math 1
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Multiplying Integers When multiplying two integers with the same sign (positive or negative) the product will always be positive.Example: 4x3=12-4x(-3)=12
When multiplying two integers with different signs the product will always be negative.Example:-4x3=-12
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OrNegative PositiveWorking with exponents
Example 1: (-2)3
-2 × (-2) × (-2) 4 × (-2) -8
Example 2: -23
2 × 2 × 2 4 ×2 8 -8
Rule: When multiplying a negative number in parenthesis with an exponent you must multiply the base by itself the number of times the exponent tells you.
Rule: When multiplying a negative number with an exponent you must multiply the base by the exponent without the negative sign. When you are finish multiplying, add the negative sign.
Distributive PropertyThe distributive
property is a simplifying method.
The first step to the distributive property is eliminating the parentheses.
You do this by multiplying each number in the parentheses by the number outside the parentheses ( as shown to the left )
Then you add or subtract the two products
5(4+2)
5×4+5×2
20+10
3030
By, Jessica
Identity property of multiplication
If you multiply any number by 1 the product doesn’t change
8×1=8
5×1=5
30×1=30
By, Jessica
The end
COMBINING LIKE TERMS
When you have an equation with variables that represent the same
value, their value can be combined.
For Example
Here, we have a simple equation.3(2x-3+5x)
3(7x-3)
(21x-9)
To do this equation, we must combine the variables together.
Instead of doing (2x-3+5x), we can convert this to (7x-3). This is combining like terms. Then, we can finish off this equation by using the distributive property.
By: Sean
Congradulations! You are now a master of the art of the distributive property!
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Exponents
22: When a positive number has a exponent you times the base by itself the amount of times the exponent.
-22: When the base has a negative sign in front of it without parenthesis you do the problem as if there was no negative in front of it and once you have your product add your negative in front of it making the answer -4.
(-2)2 When the base is a negative number with parenthesis you do the problem like it shows. -2x-2. When the the exponent is even the answer will be positive but when the exponent is odd the answer will be negative
The End
By Austin
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Adding and Subtracting Integers
By: Douglas
How do you add and subtract integers?
I’ll Show you how!
Step 1. To add integers with
the same sign, you have to add the numbers as
if they were positive and
keep the original sign.
Example: 6 + 2 = 8
Step 2. To add integers with
different signs, you have to
take the difference of
the two numbers as if
they were positive and
take the sign of the larger integer.
Example: 6 + (-2) = 4
Step 3: To subtract integers, remember three words, “Add the
Opposite”. Change the sign
of the second number, then add the two numbers using the addition
rules that I showed you.
GREAT! Now I know how to
add and subtract integers!
BARK! BARK!
Example: 6-(-2) = 8
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The Rules of The IntegersBy Josh
When adding integers, to find whether or not the answer is positive or negative you must figure out whether the positive numbers have the greatest number value or the negative numbers do. Think of adding negatives, as adding positive.
Adding Integers
-12+3=(-9)12+(-3)=9
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Subtracting Integers
When subtracting integers, subtracting positives makes a negative number farther from zero and subtracting negatives makes the number closer to zero. Subtracting a negative from a positive makes the number larger.
12-3=912-(-3)=15-12-(-3)=(-9)
QUACK
THE END!!!
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The Distributive Property
1.State the problem.
2.Multiply the first factor (7) by each value in the parentheses.
3.Add or subtract the two products accordingly.
1.7(4+x)
2.7*4 7x
3.28+7x
ReviewHow to Solve
8(6-5)Multiply the first factor (8) by each
value in the parentheses
8*6 8*5
Add or subtract the
products accordingly
48-40=8
boom
By Dorian
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Addition Property of EqualityBy: Nina
The Addiction Property of Equality is when your problem can be solved by adding the same number to each side.
This is done because it eliminates a number, so you are closer to narrowing down the variable. (Which is the awser)The Golden
RuleGolden Rule: Do onto one side as you would the other
768 - x = -285
-X= 1,053
Example:x-197=-237
X=40
X-197+197= -237+197 768-x-768 = -285
Right or Wrong?X-197+197= -237+197
Right768-x-768 = -285WrongThe End
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The Distributive Property ( For Algebra)
By: Meara
‘Multiplication “distributes” over addition.” (or subtraction.)
Step 1: Distribute the number you are multiplying with to both numbers(multiply), ignoring parentheses & addition sign.
Ex. 4 (y+9) (4 × y) + (4 × 9)
Step 2: Remove the parentheses
Ex. 4 × y + 4 × 9
Step 3: Multiply the numbers…and…voila!
Ex. 4 × y + 4 × 9 4y + 36
This problem cannot be simplified because it is an algebra problem.For a subtraction problem, take out the addition sign and substitutea subtraction sign.
THE END
Distributing rubber ducks!
Rules for Addition: If the signs of the numbers are the
same, than the sign stays the same.• Ex: 2+6=8• Ex: -2+ (-6) = -8• If the sign of the numbers are
different, add the numbers as if they had the same sign, and then take then sign of the greater number.
Ex: 2+ (-6) = -8 Ex: -2+6= 8
Adding and subtracting integers
Rules for Subtraction
Rules for Subtraction:Change the second number of the problem to addition, and use the rules of addition
Ex: 2-6=2 + (-6) = -4
By Zoe
Taking an Integer to a Power
When taking an integer to a power, you must first see if it has parentheses. If it does than you must take the number inside the parentheses to the power instead of the number digit representing absolute value.
If the integer (-6) was taken to the third power you would literally take the integer of (-6) to the desired power, whereas if the integer was -6 you would take 6 to the power and add the negative sign at the end
The End