Welcome Students!
This is our Math 55 course website. I will post the course syllabus and
calendar here, as well as any worksheets and test reviews used in the
class. You may even contact me through this site. I look forward to
working with you!!!
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Palomar College offers free, walkin tutoring in the Teaching & Learning Center (TLC), located in LRC-503 inside the Learning Resource Center building.
You will find a quiet, comfortable space to work in where you can get both tutor and instructor help. Computers are available for you to work on. Come check it out!
IDENTITY PROPERTIES
0 is called the Additive Identity and 1 is called the Multiplicative Identity. The properties are called identity because a number times one or a number plus zero gives back the identity, or value of the original number.
IDENTITY PROPERTIES
INVERSE PROPERTIES
The opposite of a number is called the number's "additive inverse." The reciprocal of a non-zero number is called the number's "multiplicative inverse."
INVERSE PROPERTIES
COMMUTATIVE PROPERTIES
The Commutative Property of Addition allows us to change the ordering of the addends in a sum. The Commutative Property of Multiplication allows us to change the ordering of factors in a product.
COMMUTATIVE PROPERTIES
ASSOCIATIVE PROPERTIES
The Associative Properties allow us to regroup numbers that are added or multiplied. Simply removing the parenthesis (or slapping them on) from a sum or product is also considered the Associative Property.
ASSOCIATIVE PROPERTIES
DISTRIBUTIVE PROPERTY
The Distributive Property states that multiplication distributes over a sum (or difference). This property is also the property that allows us to "combine like terms."
THE DISTRIBUTIVE PROPERTY
PRODUCTS AND QUOTIENTS OF ZERO
PRODUCT RULE
Whenever we multiply two exponential expressions having the same base number 'a', we can write the product as a single exponential expression where the power is the sum of the powers of the factors being multiplied.
POWER RULE
Whenever we raise an exponential expression to the "n^{th} power, we can write it as a single exponential expression where the power is the product of the powers.
POWER OF A PRODUCT
Whenever we raise product to the "n^{th} power, we can write it as an equivalent product whose powers are each multiplied by n.
NEGATIVE EXPONENT RULE
QUOTIENT RULE
Whenever we divide two exponential expressions having the same base number, "a", we can write it as a single exponential expression where the power is the difference of the powers.
POWER OF A QUOTIENT
A quotient raised to the "m^{th} power is equal to the quotient of two exponential expressions. We raise the numerator to the "m^{th} power and we raise the denominator to the "m^{th} power.
