chapter 5 vocab
commutative property of addition
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2.
term
a word or phrase used to describe a thing or to express a concept, especially in a particular kind of language or branch of study. "the musical term "leitmotiv""
property
an attribute, quality, or characteristic of something.
simplest form
A fraction is in simplest form when the top and bottom cannot be any smaller (while still being whole numbers). Example: 2/4 can be simplified to 1/2. To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly.
distributive property
The Distributive Property is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.
associative property of multiplication
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.
equivalent property
The reflexive, symmetric, and transitive properties that are satisfied by the = symbol.
additive identity property or identity property of multiplication
The sum of any number and 0 is the number. The value of a number does not change by adding zero.
constant
Synonym Discussion of CONSTANT. faithful, loyal, constant, staunch, steadfast, resolute mean firm in adherence to whatever one owes allegiance. faithful implies unswerving adherence to a person or thing or to the oath or promise by which a tie was contracted
multiplication identity property or identity property of multiplication
Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4) Multiplicative Identity Property: The product of any number and one is that number.
counterexample
Counterexamples are often used in math to prove the boundaries of possible theorems. In algebra, geometry, and other branches of mathematics, a theorem is a rule expressed by symbols or a formula.
associative property of addition
Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.
like term
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
linear expression
It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
multiplicative property of zero
The multiplication property states that the product of any number and zero is zero. It doesn't matter what the number is, when you multiply it to zero, you get zero as the answer. So: 2 x 0 = 0.
commutative property of multiplication
They are the commutative, associative, multiplicative identity and distributive properties. Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4.
