How these math tools work
Percentage calculator covers three common scenarios: finding what percentage one number is of another, calculating a percentage of a number, and finding the percentage change between two values. Percentage change is essential for comparing prices, tracking growth, and analyzing data.
Fraction simplifier uses the Euclidean algorithm to find the greatest common divisor of the numerator and denominator, then divides both by it to produce the simplest form. For example, 12/16 simplifies to 3/4 because the greatest common divisor is 4.
Average calculator accepts any list of numbers separated by commas or spaces. It returns the mean, the median (middle value when sorted), the sum, the count, and the minimum and maximum values. The median is often more useful than the mean for data sets with extreme outliers.
Power and root calculator calculates base raised to any exponent, the square root, and the cube root simultaneously. This is useful for geometry, physics problems, and financial calculations like compound growth.
Prime number checker tests whether a number is prime using trial division and also finds the prime factorization of composite numbers. Every integer greater than 1 is either prime or can be expressed as a unique product of prime numbers.
Frequently asked questions
- What is the difference between mean and median?
- The mean is the sum divided by the count. The median is the middle value when numbers are sorted. If you have the values 1, 2, 3, 4, 100, the mean is 22 but the median is 3. The median is more representative when one extreme value skews the data.
- What makes a number prime?
- A prime number is divisible only by 1 and itself. The number 1 is not considered prime by convention. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Two is the only even prime number.
- How do I calculate percentage increase?
- Use the percentage change mode. Enter the original value as A and the new value as B. A result of 25 means the value increased by 25%. A negative result means it decreased. For example, going from 80 to 100 is a 25% increase.