Exams with Verified A+ Solutions (2025/2026)
A number that can be written as a ratio of integers, which means it can be written as a
fraction. - rational number
The result of multiplying values. - product
A number whose value is 0 or greater and can be represented without a fractional or a
decimal component. - whole number
The property that 0 can be added to any number without changing the value of the number.
Likewise, 1 can be multiplied by any number without changing the value of that number. -
identity property
The property that under certain operations in a multi-step expression, the computations may
be done in any order. Commonly represented as (a + b) + c = a + (b + c). Addition and
multiplication both have this property, but subtraction and division do not. -
associative property
The product of any integer with itself yields this. So, a number is this if it can be written as the
square of an integer. For example, 9 is this because 3 * 3 = 9. Other examples are 16, 25, 36,
49,... - perfect square
In mathematics: a collection of numbers. - set
A set of rules that defines the order in which mathematical operations should be performed -
order of operations
The number you must multiply x by to get 1. For example, 5 and 1/5. - multiplicative
inverse
The positive square root of a number. - principal square root
A set of numbers between two specified values. - interval
A word or symbol (such as + or -) that indicates an operation between values. -
operators
The property that the order of the numbers under the operation does not change the result.
Addition and multiplication have this property: a + b = b + a and ab = ba. - commutative
, The symbol which indicates to take the square root of the number that follows. -
radical sign
Two numbers equidistant from 0 on a number line whose sum is 0. For example, 3 and -3. -
additive inverse
The greatest number that is both a factor of a and a factor of b. - greatest common
factor (GCF)
A graphical method used to identify the prime factorization of an integer. - factor tree
A number, (positive, negative, or zero), that can be represented without a fractional or a
decimal component. - integer
A collection of numbers whose values are distinct, separate, and unconnected. -
discrete
Determining the set of prime numbers whose product is the original integer. - prime
factorization
A collection of numbers whose values are not dividable into distinct units. - continuous
A string of terms that are connected by division, addition, and subtraction operations. -
expressions
The result of a division expression. - quotient
Sometimes called a power, it is a quantity that represents repeated multiplication. -
exponents
An integer that divides another integer. We say an integer, x, is a factor of another integer, y, if
the quotient y/x is also equal to an integer. - factor
A number with more factors than just one and itself. Not a prime number. - composite
number
A concept which states that any integer greater than 1 is either prime or is the product of a
unique set of prime numbers. - Fundamental Theorem of Arithmetic
A number with only two factors: one and itself. - prime number
Proportion that is equivalent to the given ratio but has a denominator of 100. - percent
proportion