Multiplication
Double Abacus Approach
The Double Abacus (Double-A) Approach
The Double Abacus approach simplifies the multiplication process by separating the two numbers being multiplied to the top abacus. Then the product is calculated in the bottom abacus from left to right. This allows for multiplying larger numbers (6 digits) with larger products. The links below will walk you through the each of the steps to develop your multiplication skill using this approach.
Multiplication Basics
Multiplication is a shortcut method for adding the same number many (or multiple) times. Instead of repeating the addition process, you can say multiply a number (called the multiplicand) by how many times you want to add it (this number is called the multiplier). The resulting number is called the product. For example, to add the number 1, 3 times (1 + 1 + 1) results in the number 3. Using multiplication, we say: 1 (multiplicand) times 3 (multiplier) is 3 (product). If we add the number 2, 3 times (2 + 2 + 2), the result is 6. Using a multiplication shortcut, we say 2 times 3 is 6. The Multiplication Basics document reviews the basic multiplication concepts in more detail.
Multiplying with Single Digits
The first step in learning multiplication is to multiply with single digits.
Multiplying Larger Numbers with Single Digits
Next, lets build on this basic technique and multiply larger numbers with single digits.
Multiplying Larger Numbers
Now, you are ready to multiply larger numbers. Follow the steps on this page and complete the Build Your Skill problems.
Multiplying Decimals
Finally, let's multiply decimal numbers. Spoiler Alert: It's much easier than you think
Simplified Abacus Multiplication Textbook
You can obtain the full textbook of this material by clicking on the link, Simplified Abacus Multiplication.