Special thanks go to Penny Williams and the Anchorage, Alaska School District for the use of her material on this site.

What is an algorithm?

An algorithm is a set of rules for solving a math problem which, if done properly, will give a correct answer each time. Algorithms generally involve repeating a series of steps over and over as in the borrowing and carrying algorithms and in the long multiplication and division algorithms.

The Everyday Mathematics program includes a variety of suggested algorithms for addition, subtraction, multiplication, and division. Current research indicates a number of good reasons for this — primarily, that students learn more about numbers, operations, and place value when they explore math using different methods.

How do these algorithms work?

An algorithm is a set of rules for solving a math problem which, if done properly, will give a correct answer each time. Algorithms generally involve repeating a series of steps over and over as in the borrowing and carrying algorithms and in the long multiplication and division algorithms.

The Everyday Mathematics program includes a variety of suggested algorithms for addition, subtraction, multiplication, and division. Current research indicates a number of good reasons for this — primarily, that students learn more about numbers, operations, and place value when they explore math using different methods.

How do these algorithms work?

Multiplication Animations
Partial Products 2-Digit times 1-Digit example 2-Digit times 2-Digit example 1 2-Digit times 2-Digit example 2 3-Digit times 1-Digit example 3-Digits times 2-Digit example Decimals in Hundredths example Decimals in Tenths example |

## Traditional Multiplication

Multiplication Animations
Traditional Algorithm 2-Digit times 1-Digit example 2-Digit times 2-Digit example 4-Digit times 1-Digit example Money Example 1 Money Example 2 |

Find more at www.everydaymathonline.com Free Resources - Algorithm Handbook

## Multiplication of Decimals and Fractions

Partial Products with Decimals
Examples Using Decimals Animations - Partial Products Mixed - Number Multiplication Animation - Multiplying Tenths Animation - Multiplying Hundredths Animations - Traditional Animation - Multiplying Hundredths by 1-Digit Animation - Multiplying Thousandths Animation - Multiplying Money Example 1 Animation - Multiplying Money Example 2 Animation - Multiplying Money Example 3 |
Partial Products with Fractions
Fraction Multiplication Fraction Multiplication - Area Models Mixed-Number |