math flashcard

Front

What is the definition of mathematics?

Back

Mathematics is the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering (applied mathematics).

Front

What are the four basic operations in mathematics?

Back

The four basic operations in mathematics are addition, subtraction, multiplication, and division.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which operations are performed in a mathematical expression. The common acronym is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What is a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Front

What is the difference between a rational number and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion.

Front

What is the concept of a function in mathematics?

Back

A function is a relation between a set of inputs and a set of permissible outputs, where each input is related to exactly one output.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Front

What is the difference between mean, median, and mode?

Back

Mean is the average of a set of numbers, median is the middle value when the numbers are arranged in order, and mode is the value that appears most frequently in a data set.

Front

What is a percentage?

Back

A percentage is a dimensionless number that represents a fraction of 100, often used to compare relative sizes.