By Kardi Teknomo, PhD.

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Digital Root

Pattern of Digit Sum

One day, I talked about recognizing patterns from numbers in a class. Many students just stared at me with blank face. Mathematics had scared and bored them in their past. When I introduced digital root or digit sum to them, their puzzling faces suddenly disappeared. They could recognize the patterns of numbers easily. Mathematics of digital root becomes audiovisual and it is fun. I tried similar approach even to younger children in elementary schools. They can start to see the visualization of the pattern in numbers. Afterall, mathematics is about discovering patterns. Using digital root, we can view the pattern of mathematical operations. Some of the students who used to hate mathematics, started to pursue their own discovery on mathematical pattern.

The idea of digit sum or digital root is very old but it is very interesting. Using digital root, we can guide students to do mind exercise in discovering patterns from simple formulas by themselves. This kind of exercises does not require high mathematical knowledge aside from simple mathematical operation such as addition, subtraction, multiplication and division. Modulus or remainder operation can be taught along the way. Digital root would serve as a mean for mathematics teachers to support the students to explore fascinating patterns in numbers and the beauty of mathematics.

In this tutorial you will learn about (click the following topics):


Significant of digital root (motivating examples)
Guess a Hidden Digit
Mind Reader
Validating Multiplication
Digital root of Fibonacci
What is Digital Root?

Digital root code in VB (MS Excel Macro)
Digital root calculator (interactive program)

Understanding Pattern of Digital Root
One Dimensional Pattern of Digital Root
Diagram of Digital Root Pattern (interactive program)
Two Dimensional Pattern of Digital Root
Arithmetic of Digital Root
Vedic Square
Making Vedic Square using Matlab
Group of Digital Root
Power of Digital Root ( interactive program )
Power Digital root code in VB (MS Excel Macro)
Digital root of prime numbers

Digital Root Resources (including References)
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These tutorial is copyrighted.

Preferable reference for this tutorial is

Teknomo, Kardi (2005). Digital Root. https:\\\kardi\tutorial\DigitSum\