Mathematics Fundamentals
Public flashcard deck about Mathematics Fundamentals. 8 cards.
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What is the definition of a prime number?
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Explain the order of operations (PEMDAS/BODMAS).
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). BODMAS is similar: Brackets, Orders (powers and square roots, etc.), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). It dictates the sequence in which mathematical operations should be performed to ensure a consistent result.
What is the difference between an integer and a rational number?
Integers are whole numbers (positive, negative, or zero), such as -3, 0, 5. Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero. All integers are rational numbers, but not all rational numbers are integers (e.g., 1/2, -3/4).
Define 'variable' in algebra.
A variable is a symbol, usually a letter, that represents an unknown quantity or a quantity that can change.
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (legs). Mathematically, it is represented as a² + b² = c², where 'a' and 'b' are the lengths of the legs and 'c' is the length of the hypotenuse.
What is the difference between mean, median, and mode?
Mean: The average of a set of numbers, calculated by summing all numbers and dividing by the count. Median: The middle value in a set of numbers arranged in order. If there's an even number of values, it's the average of the two middle values. Mode: The number that appears most frequently in a set of numbers.