QUESTIONS WITH DETAILED VERIFIED
ANSWERS
Counting Numbers (or Natural Numbers) - answer 1, 2, 3, 4,
5,...the positive integers, also called the counting numbers
Whole numbers - answer 0, 1, 2, 3, 4, 5,...The positive integers
and zero
elementary operations - answer Refers to the operations of
addition, subtraction, multiplication, and division
order of operations
Pneumonic - Please Mind Dear Aunt Sally
Parenthesis, Multiplication, Division, Addition, Subtraction -
answer If no grouping symbols are used in a numerical
expression,
first perform all multiplication and division from left to right, and
then
perform all addition and subtraction from left to right.
numerical expression - answer A number or a group of numbers
connected by valid or defined mathematical operations
simplify a numerical expression - answer (1) A numerical
expression: Carry out all the operations, according to the order of
operations agreement, and write the answer as a single number.
, (2) A polynomial: Carry out all the operations, according to the
order of operations, combine similar terms, and write terms in
order of descending degree.
(2) A fraction (a rational expression): Carry out all the operations,
according to the order of operations, simplify numerator and
denominator, factor if possible, and eliminate all common factors
(except for 1 or -1).
translating - answer The process of changing a verbal expression
into a symbolic expression
sum - answer The result of an addition
difference - answer The result of a subtraction
product - answer The result of a multiplication
quotient - answer The result of a division
juxtaposition - answer When two variables, a number and a
variable, or a symbol and a parenthesis are written next to each
other with no operation symbol, as in xy, 2x, or 3(x +y).
Juxtaposition is used to indicate multiplication.
distributive property for multiplication over addition - answer If a,
b, and c are real numbers, then a(b + c) = ab + ac and (a + b)c =
ac + bc for the basic operations. That is, the number outside the