Representation and Comparision of Rational Numbers
any counting number, starting from zero and continuing without any fractions or decimals
What is a whole number?
represents the total number of equal parts of a whole
What is the denominator?
tells you how much of one quantity there is for every single unit of another quantity
What is unit rate?
the number of times a number needs to be multiplied by itself
What is an exponent?
you can change the way numbers are grouped (using parentheses) when adding or multiplying, and the answer will still be the same. For example, (2 + 3) + 4 is the same as 2 + (3 + 4).
What is the associative property?
a number that can be written as a fraction (or ratio) of two integers, where the denominator (the bottom number) is not zero.
What is a rational number?
the number that is being divided in a division problem
What is the dividend?
a way of comparing two things or numbers and showing they have the same relationship
What is a proportion?
the process of breaking down a number into its smallest, prime factors, which are numbers only divisible by 1 and themselves
What is prime factorization?
you can change the order of numbers when adding or multiplying, and the answer will still be the same. For example, 2 + 3 is the same as 3 + 2, and 4 x 5 is the same as 5 x 4.
What is the commutative property?
a whole number (positive, negative, or zero) without any fractions or decimals
What is an integer?
a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number)
What is an improper fraction?
a number you multiply the dimensions of a shape by to make it either bigger or smaller
What is scale factor?
the number that multiplies a variable in an algebraic expression
What is a coefficient?
you can multiply a number by a sum or difference by multiplying the number by each part of the sum or difference separately, and then adding or subtracting the products.
What is the distributive property?
a statement that two quantities are not equal, using symbols like < (less than), > (greater than), or ≠ (not equal to)
What is an inequality?
writing it in its simplest or most basic form without changing its value
What is simplified form?
a familiar percentage that's easy to understand and use as a reference point, especially when dealing with fractions or other less common percentages
What is a benchmark percent?
a combination of numbers, variables, operations (like addition, subtraction, multiplication, and division), and grouping symbols (like parentheses) that represent a value
What is an equation?
a number's value stays the same when certain operations are performed on it. For addition, this means adding zero to any number results in the same number (e.g., 5 + 0 = 5)
What is the identity property?
finding out how things are the same or different
What is a comparison?
a combination of a whole number and a proper fraction
What is a mixed number?
a way of representing a part of a whole as a fraction out of 100
What is a percent?
the specific order in which to perform operations when solving an equation or expression
What is the order of operations?
multiplying a number by its reciprocal always results in one
What is the inverse property?