Easy Algebra Step-by-Step

12 Easy Algebra Step-by-Step

c.^3

4

5

6

5

6

3

4

⋅=⋅

Solution

Step 1. Recall the 11 fi eld properties: closure property of addition, closure

property of multiplication, commutative property of addition, com-

mutative property of multiplication, associative property of addition,

associative property of multiplication, additive identity property,

multiplicative identity property, additive inverse property, multipli-

cative inverse property, and distributive property.

a. 0 + 1.25 = 1.25

Step 2. Identify the property illustrated.

Additive identity property

b. ())∈ real numbers

Step 2. Identify the property illustrated.

Closure property of addition

c.^3

4

5

6

5

6

3

4

⋅=⋅

Step 2. Identify the property illustrated.

Commutative property of multiplication

Besides the fi eld properties, you should keep in mind that the number 0

has the following unique characteristic.

12. Zero Factor Property. If a real number is multiplied by 0, the product is 0
    (i.e., a ∙ 0 = 0 ∙ a = 0); and if the product of two numbers is 0, then at
    least one of the numbers is 0.
    Examples
    90 ⋅ = 09 ⋅− = 0
    15
    100

00

15

100

⋅ 0 ⋅= 0

This property explains why 0 does not

have a multiplicative inverse. There is

no number that multiplies by 0 to give

1—because any number multiplied by

0 is 0.