Fractions, Order of Operations, Ratios, Proportions, and Rates

Vocabulary flashcards covering order of operations, fractions, and ratio definitions from the lecture notes.

Order of Operations

The sequence of mathematical steps summarized as Parentheses, Exponents, Multiplication and Division (left to right), and Addition and Subtraction (left to right).

Ratio

A relationship of 2 quantities using division or fraction.

Ratio of A to B

A comparison of two values represented as $A:B$ or written in fractional form as $\frac{A}{B}$.

KCF

An acronym for Keep-Change-Flip used as an operation step with fractions.

Ratio of Female Students to Total Students

In the lecture example with $10$ females and $3$ males, the ratio of female students to total students is $\frac{10\text{ Females}}{13\text{ students}}$.

Ratio of Female Students to Male Students

In the lecture example with $10$ females and $3$ males, the ratio of female students to male students is $\frac{10\text{ Females}}{3\text{ males}}$.