Properties of Integers

The property which states that changing the order of the addends does not affect the sum.

a + b = b + a

• Commutative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

Tags

CCSS.1.OA.B.3

It states that changing the groupings of the addends does not affect the sum:

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

• Commutative Property of Multiplication

• Associative Property of Addition

• Associative Property of Multiplication

Tags

CCSS.1.OA.B.3

A property which states that the sum of the integers a and b is an integer.

• Closure Property

• Zero Property

• Distributive Property

Tags

CCSS.7.NS.A.1D

It states that changing the groupings of the factors does not affect the product:

a x ( b x c ) = ( a x b ) x c

• Commutative Property of Multiplication

• Commutative Property of Addition

• Associative Property of Multiplication

Tags

CCSS.5.NBT.B.7

This property states that any number added by 0 is equal to the number:

a + 0 = a

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property

Tags

CCSS.1.OA.B.3

It states that any number multiplied by 1 is equal to the number:

a x 1 = a

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property

Tags

CCSS.3.OA.B.5

The property which states that changing the order of the factors does not affect the product:

a x b = b x a

• Commutative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

Tags

CCSS.3.OA.B.5

This states that any number multiplied by zero is equal to 0:

a x 0 = 0

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property

Tags

CCSS.3.OA.B.5

This property states that adding first before multiplying or distributing the factor to each addend will give same answer:

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

• Distributive Property

• Commutative Property

• Associative Property of Addition

Tags

CCSS.3.OA.B.5

It states that the sum of a number and its opposite is 0.

• Zero Property

• Multiplicative Inverse Property

• Additive Inverse property

Tags

CCSS.7.NS.A.1B