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commutative,associative,inverse and distributive properties
commutative,associative,inverse and distributive properties
12
Mathematics
Undergraduate 1
05/01/2011

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Cards

Term
  • Commutative Property of Addition: It states that changing the order of addends does not change the sum.
Definition
That is, a + b = b + a.
Term

use the commutative property to solve.

-8+5=5+

Definition

by using the commutative property of addition,the missing number is -8 because

-8+5=5+(-8)

Term
Commutative Property of Multiplication: It states that changing the order of factors does not change the product.
Definition
That is, a × b = b × a.
Term

use the commutative property of multiplication to solve.

-2(7)=___(-2)

Definition

by using the commutative property of multiplication,the missing number is 7,since

-2(7)=7(-2)

Term

solve using the commutative property

x+9=9+__

Definition

x+9=9+x

the missing variable was x

Term

solve the statement using the commuative property.

-12(4)=__(-12)

Definition

-12(4)=4(-12)

the missing number was 4

Term
Associative property states that the change in grouping of three or more addends or factors does not change their sum or product.
Definition

that is,

addition

(a+b)+c=a+(b+c)

multiplication

(ab)c=a(bc)

Term

complete the statement using the associative property.

(9+10)+(-3)=9+[____+(-3)]

Definition

the missing number is 10..so,

(9+10)+(-3)=9[10+(-3)]

Term

complete the statement using the associative property.

-5+(2+8)=(______)+8

Definition

-5+2 goes in the missing space

because,

-5+(2+8)=(-5+2)+8

Term

solve the statement using the associative property.


10*[-8*(-3)]=

Definition
10*[-8*(-3)]=[10*(-8)]*(-3)
Term
  • Distributive property states that the product of a number  and a sum is equal to the sum of the individual products of addends and the number.

That is: a(b + c) = ab + ac

Definition

example

5(3 + 1) = 5 × 3 + 5 × 1

Term

use the distributive property to rewrite the expression.

2(p+5)

Definition

2p+10

 

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