associative property
What two math operations use the Associative Property?
Addition and Multiplication
What two math properties use the commutative property?
multiplication and addition.
What does it mean to distribute?
To “distribute” means to divide something or give a share or part of something.
Define the identity property of addition.
The identity property of addition says that the sum of 0 and any number is that number.
What is the definition of the Associative Property
The associative property says that when solving a multiplication or addition problem (it must have at least three numbers and has to have the same operation in the problem) that contains parentheses you can move the parentheses and that answer will not change.
What is the definition of commutative property?
The commutative property says that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.
What is the definition of distributive property?
According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Define the identity property of 1
Any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same.
Is this an example of the associative property (3x2)x8=1x(2x3)
No this is not an example of the associative property. The correct answer would be (3x2)x8=3x(2x8)
Is this an example of the commutative property (if not correct it): 12+3=15
No. The answer should be 12+3=3+12
Use the distributive property to to simplify: 5(2+6)
5(2+6)=(5x2)+(5x6)
= 10+30
= 40
What property is this an example of: 32x1=32
identity property of multiplication
. Use these numbers and the associative property to create a correct example. 7, 8, 6
Example of Associative property of addition
(7+8)+6=7+(8+6)
Example of Associative property of multiplication
(7x8)x6=7x(8x6)
There are other possible answers as well.
Is this an example of the commutative property (if not correct it): 20+80=80x20
No. The answer should be 20+80=80+20 or 20x80=80x20.
Use the distributive property to to simplify: 4(2x+3)
4(2x+3)=(4x2x)+(4x3)
=8x+12
Create an example of the Identity property of addition and the Identity property of 1
Identity property of addition
4+0=4
Identity property of 1
8x1=8
There can be multiple answers
Is this an example of the associative property? If not rewrite it so that it is correct. 12x(c+4r)=(12+c)x4r
No this is not the correct use of the associative property. The correct is:
12x(cx4r)=(12xc)x4r
Use the following numbers to create an example of the commutative property: 64 and 28.
Two possible answers are:
Example of Commutative property of addition
64+28=28+64
Example of Commutative property of multiplication
64x28=28x64
Use the distributive property to to simplify: A volleyball team needs new uniforms. The shirt is 12 dollars, the shorts are 10 dollars, and the socks are 5 dollars. There are 13 people on the team. Using the distributive property write and solve a problem to show the total cost for new uniforms.
13(12+10+5)=(13x12)+(13x10)+(13x5)
=156+130+65
=351
It will cost $351 to buy 13 new uniforms for the team.
if you were given these numbers could you use them to create one of the identity properties (you can only use each number one time)? If so which one and write the problem and if not why? Your numbers are 4, 1, 5
no it would not have the same answer every time.you would also need two of the same numbers and either a 0 or 1.