rules for operating integers .visual.docx

Commutative Property
Changing the order of
two numbers that are
either being added or
multiplied does not
change the value.

Associative Property
Changing the grouping
of numbers that are
either being added or
multiplied does not
change its value.

Distributive Property
When two numbers
have been added /
subtracted and then
multiplied by a factor,
the result will be the

same when each
number is multiplied
by the factor and the
products are then
added / subtract

Identity Property
Additive Identity-
states that the sum of
any number and 0 is
the given number.
Zero

Multiplicative Identity-
states that the product
of any number and 1 is
the given number,
Inverse Property

In Addition
- states that the sum of
any number and its
additive inverse, is
zero.

The additive inverse of
the number a is -a.
In Multiplication
- states that the
product of any number

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

Closure Property
Two integers that are
added and multiplied
remain as integers. The
set of integers is closed

under addition and
multiplication.

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