Factorials
A factorial is a mathematical operation represented by an exclamation mark (!) and is used to calculate the product of all positive integers up to a given number.
Calculating Factorials
To calculate the factorial of a number n, denoted as n!, you multiply all positive integers from 1 to n.
For example:
3! = 3 x 2 x 1 = 6
5! = 5 x 4 x 3 x 2 x 1 = 120
Study Guide
- Understanding the Concept: Factorials are used to calculate the number of ways to arrange a set of items, permutations, and in various mathematical and statistical calculations.
- Calculating Factorials: Practice calculating factorials for different numbers to become familiar with the concept.
- Applications: Explore real-world applications of factorials, such as in probability, combinations, and permutations.
- Factorial Notation: Understanding how factorials are represented and used in mathematical equations and expressions.
- Factorial Properties: Learn about properties of factorials, such as the fact that 0! = 1 and the relationship between factorials and combinations.
By understanding factorials and practicing their calculations, you'll gain a solid foundation in this important concept in mathematics.
.◂Math Worksheets and Study Guides Eighth Grade. Real numbers
Study Guide
Real numbers 
Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
The Number System
Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]
Expressions and Equations
Work with radicals and integer exponents.
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]