Factorial Notation Study Guide
Definition
Factorial notation is the product of all positive integers from 1 to a given number.
Notation
The factorial of a number n is denoted by the symbol "n!"
Example
If we have 5!, it means 5 × 4 × 3 × 2 × 1 = 120.
Calculation
To calculate the factorial of a number, simply multiply all the positive integers from 1 up to that number.
Properties
- 0! = 1
- 1! = 1
- n! = n × (n-1)!
Applications
Factorial notation is commonly used in combinatorics, probability, and to solve problems involving permutations and combinations.
Practice Problems
1. Calculate the value of 4!
2. Find the value of 6! - 5!
- Calculate the value of 4!
4! = 4 × 3 × 2 × 1 = 24 - Find the value of 6! - 5!
6! - 5! = (6 × 5 × 4 × 3 × 2 × 1) - (5 × 4 × 3 × 2 × 1) = 720 - 120 = 600
◂Math Worksheets and Study Guides Fifth Grade. Less Than, Greater Than
Study Guide
Less Than, Greater Than 
Worksheet/Answer key
Less Than, Greater Than Worksheet/Answer key
Less Than, Greater Than Worksheet/Answer key
Less Than, Greater Than
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Number and Operations (NCTM)
Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
Use models, benchmarks, and equivalent forms to judge the size of fractions.
Algebra (NCTM)
Use mathematical models to represent and understand quantitative relationships.
Model problem situations with objects and use representations such as graphs, tables, and equations to draw conclusions.