A single number, variable, or the product of numbers and variables, such as -45, 1.2x, and 3xy2.
To write a less complicated expression with the same value. An expression with no parentheses or like terms. For example, write 5 instead of 2 + 3, or write 6n instead of 2n + 4n.
A combination of numbers, variables, and operation symbols. Examples: 3n, 2n + 1.
Order of Operations
The specific order in which certain operations are to be carried out to evaluate or simplify expressions: step 1 parentheses (or other grouping symbols), step 2 exponents (powers or roots), step 3 multiplication or division (from left to right), step 4 addition or subtraction (from left to right).
Whole numbers and their opposites, including 0. Examples: -2, -1, 0, 1, 2 ...
To find the numerical value of, or to replace the variables in the expression with their known numerical values and simplify.
The number you need to add to a given number to get a sum of 0. It is also called the opposite.
The number we can multiply by to get the multiplicative identity, 1. For example, for the number 5, the multiplicative inverse is 1/5 because 5 × 1/5 = 1
Examples: 3/5 and 5/3. For a number in the form a/b, where a and b are not zero, the reciprocal is b/a. (This is also the multiplicative inverse because if we multiply 3/5 x 5/3 we get 1.)
Any number that can be written as a fraction of integers, that is, in the form a/b (however, the denominator cannot be zero)
The bottom number of a fraction.
The top number of a fraction.
The answer to a division problem.
Commutative Property of Addition
States that if two terms are added, then the order may be reversed with no effect on the total. That is, a + b = b + a . For example, 7 + 12 = 12 + 7.
Associative Property of Addition
States that if a sum contains terms that are grouped, then the sum may be grouped differently with no effect on the total, that is, a + (b +c) = (a + b) + c. For example, 3 + (4 + 5) = (3 + 4) + 5.
Commutative Property of Multiplication
States that if two expressions are multiplied, then the order may be reversed with no effect on the result. That is, ab = ba . For example, 5 · 8 = 8 · 5.
Associative Property of Multiplication
The associative property of multiplication states that if a product contains terms that are grouped, then the product may be grouped differently with no effect on the result, that is, a(bc) = (ab)c. For example, 2 · (3 · 4) = (2 · 3) · 4.