Table of Contents
ToggleAn expression in math is a combination of numbers, variables, and operators (like +, -, ×, ÷) that represents a value. For example, is an expression, but it doesn’t include an equality sign.
A fraction represents a part of a whole and is written as , where a is the numerator (the part) and b is the denominator (the whole).
In math, the word “in” can indicate belonging or being part of something. For example, an element can be in a set, meaning it is included in that set.
The intersection of two sets is the set containing all elements that are common to both sets. For example, if and , the intersection is .
The mean, or average, is the sum of a set of numbers divided by the number of elements in the set. For example, the mean of 4, 6, and 8 is .
A percentage represents a fraction of 100. For example, 50% means 50 out of 100, or half.
A prism is a 3D solid object with two identical polygonal bases connected by rectangular faces. The volume of a prism is given by the area of its base times its height.
The range in mathematics refers to the difference between the largest and smallest values in a data set. In functions, the range is the set of all possible output values.
Statistics is the branch of math that involves collecting, analyzing, interpreting, and presenting data. It includes measures like mean, median, mode, and range.
The modal number (or mode) in mathematics is the number that appears most frequently in a data set. For example, in the set {1, 2, 2, 3}, the mode is 2.
The mode of a data set is the value that occurs most frequently. For example, in the set {4, 4, 5, 6}, the mode is 4 because it appears most often.
One of the most famous and unsolved math problems is the Riemann Hypothesis, which is related to the distribution of prime numbers. It is one of the seven Millennium Prize Problems.
There is no direct opposite of math, but some might consider literature or art to be opposite disciplines, as they focus on creativity, interpretation, and subjective understanding rather than numbers and logic.
The order of operations in math is the sequence in which operations are performed: Parentheses, Exponents, Multiplication/Division (from left to right), and Addition/Subtraction (from left to right). This is commonly remembered as PEMDAS or BODMAS.
The Rule of 3 in math is a method used to solve problems that involve proportions. If three values are known, the fourth can be found using a proportion.
The mathematical constant e is approximately equal to 2.718 and is the base of natural logarithms. It is a fundamental constant in calculus, particularly in exponential growth and decay problems.
The name of the symbol depends on which one you’re referring to. For example, is the plus symbol, is the minus symbol, is the multiplication symbol, and is the division symbol.
A transversal is a line that crosses at least two other lines in a plane at different points. When a transversal intersects parallel lines, it creates corresponding, alternate, and co-interior angles.
A triangle is a polygon with three sides and three angles. The sum of the interior angles of any triangle is always 180 degrees.
In math, unity refers to the number 1. It is called unity because multiplying any number by 1 leaves the number unchanged.
A universal set is the set that contains all elements under consideration for a particular discussion or problem. It is typically denoted by the symbol .
In math, V can represent volume in geometry, or a variable in algebra. In set theory, V represents the set of all sets, also called the von Neumann universe.
In mathematics, value refers to the result or quantity obtained after performing an operation or solving an equation. For example, in , the value of is 5.
In Hindi, Vedic Maths (वैदिक गणित) is an ancient system of mathematics that simplifies calculations using techniques based on Vedic principles.
Vedic Maths refers to a system of mental math techniques derived from ancient Indian texts called the Vedas. It simplifies arithmetic and algebraic operations, making complex calculations easier and faster.
Vedic Maths offers shortcuts for performing operations such as multiplication, division, and square roots. For example, to multiply 23 by 21, you can apply the formula for numbers close to 20:
In math, weight refers to the measure of how heavy an object is. In statistics, weights can also refer to the importance or frequency assigned to different values in weighted averages.
A well-defined set is a set where it is clear whether an element belongs to the set or not. For example, the set of all prime numbers less than 10 is well-defined because you can list them as {2, 3, 5, 7}.
In math, x is commonly used to represent a variable, an unknown value that needs to be solved in an equation or expression.
With a math degree, you can pursue careers such as data analyst, actuary, statistician, financial analyst, software developer, mathematician, engineer, cryptographer, math teacher, or researcher, among others.