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commutative property of addition

If the order of the terms changes, the sum stays the same.

commutative property of multiplication

If the order of factors changes, the product stays the same.

associative property of addition

When the grouping of terms changes, the sum stays the same.

associative property of multiplication

When the grouping of factors changes, the products stays the same.

Identity Property of Addition

The sum of 0 and any number is that number.

zero

ADDITIVE IDENTITY

identity property of multiplication

The product of 1 and any number is that number.

one

MULTIPLICATIVE IDENTITY

ADDITIVE INVERSE PROPERTY

when a number is added to its opposite, the sum is zero

additive inverse

the opposite of a number

MULTIPLICATIVE INVERSE PROPERTY

when a number is multiplied by its reciprocal, the product is one

multiplicative inverse

reciprocal of a number

distributive property of multiplication

1 x (2 + 1) = 1 x 2 + 1 x 1

zero property of multiplication

7 x 0 = 0

Commutative Property

3 + 2 = 2 + 3

Associative Property

(1 + 2) + 3 = 1 + (2 + 3)

distributive property

Multiplying a sum by a number is the same as multiplying each term by the number and then adding (or subtracting ) the products.

VRAI

Zero Property of Addition

ab=ba

Commutative Property of Multiplication

(AB)C = A(BC)

Associative Property of Multiplication

Inverse Property of Addition

8 + (-8) = 0

a+0=a

Identity Property of Addition

Closure of Addition

a + b = an integer

Inverse Property of Multiplication

The product of a nonzero number and its multiplicative inverse, or reciprocal, is 1.