Operation/Property

Rule

Note

Additive Inverse

The additive inverse of a is a


Double Negative

(a) = a


Absolute Value


Absolute value is distance from 0 on the number line.

Adding two numbers
with the same sign

Add their absolute values and
put the common sign in front.


Adding two numbers
with opposite signs

Subtract their absolute values.
Answer "+" if positive number
has larger absolute value.
Answer "" if negative number
has larger absolute value.

Sum of 2 positive numbers is positive.
Sum of 2 negative numbers is negative.
In a + b = c, a, b, and c are terms.

Subtraction

a  b = a + (b)


Multiplication

Product of two numbers with
like signs is positive.
Product of two numbers with
opposite signs is negative.

Product is the result from multiplying.
In a x b = c, a and b are factors and c is the product.

Multiplicative
property of zero

a x 0 = 0
0 x a = 0


Division

Quotient of two numbers with
like signs is positive.
Quotient of two numbers with
opposite signs is negative.

Quotient is the result from dividing.
