Download notes 27 Algebra Properties

ALGEBRA:
PROPERTIES
#27
I DO (foldable)
Commutative
Property
Distributive
Property
+, x
Associative
Property
Identity
Property
+, x
+, x
I DO (foldable)
____________ Property
____________ Property
Addition and Multiplication
7
a
4
a
+ 9 = ________
+ b = ________
* 6 = ________
* b = ________
Numbers __________ to a
new location but NO
change to the answer.
____________ Property
2(7+4)=_________
a(b + c) = ________
Distribute the number
________ the parenthesis
to the numbers _________
and solve.
____________ Property
Addition and Multiplication Addition and Multiplication
3 + (9 + 4)= _________ 13 + 0 = ___
a + (b + c) = _________ a + 0 = ___
8 * (5 * 7) = _________
7 * 1= ___
a * (b * c) = _________
a * 1 = ___
Whichever we _________
or _______ the numbers,
the answer does NOT
change.
It ______ its __________.
Vocabulary
• Commutative Property- The order in which two numbers
are added or multiplied does not change their sum or
product.
• Associative Property- The way in which three numbers are
grouped when they are added or multiplied does not change
their sum or product.
• Identity Property- The sum of an addend and 0 is the
addend. The product of a factor and 1 is the factor.
• Distributive Property- To multiply a sum by a number,
multiply each addend by the number outside the
parenthesis.
• Properties are statements that are true for any number.
• The expressions 6 x 10 and 10 x 6 are called equivalent
expressions because they have the same value
Caution!
The Commutative and Associative
Properties do not apply to subtraction
or division.
WE DO (notes)
YOU DO (classwork)
• ADV What Board Properties
• REG White Board Properties
https://www.khanacademy.org/math/pre-algebra/pre-algebra-arith-prop/prealgebra-ditributive-property/v/the-distributive-property
https://www.khanacademy.org/math/arithmetic-home/multiplydivide/properties-of-multiplication/v/order-doesn-t-matter-when-purelymultiplying
https://www.khanacademy.org/math/in-eighth-grade-math/rationalnumbers-1/properties-rational-number/v/commutative-property-foraddition