Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsWhole NumbersWhole Numbers: Multiplication and Division

Multiplication: First Principles

This page explains the multiplication in first principles as repetition of a quantity, with examples in count or measure of quantities and in the number-line.

click on the content to continue..

3 cars were given to 4 show rooms each.

The total number of cars given are 12.

The problem is understood to be that of repeated addition.

3 cars were given to the first show room, then to the second, then to the third, and then to the fourth. So 3 was repeatedly added 4 times to get the total.

Considering 3 cars given to 4 show rooms each. All the cars are shown in the figure. Counting the number of cars, the result is 12.

There are 4 pencils, each of 3 centimeter long.

The combined length of the pencils is 12 centimeter.

The problem is understood to be that of repeated addition.

Length of one pencil is 3 centimeters. To get the combined length of 4 such pencils, the length is repeatedly added 4 times.

Considering 4 pencils, each of 3 centimeter long. The four pencils are placed side-by-side and the length measurement is taken from 0. The measure at the end is 12. The combined length is 12 centimeters.

The count or measure of a quantity can be repeatedly added or multiplied.

The multiplication results in count or measure of the combined quantity.

Multiplication 3xx4 in the number-line is given in the figure.

The value 3 is repeated 4 times to land in 12. The result of the multiplication is 12.

The word "multiplication" means: increase in quantity many times over.

familiarize with the terminology
multiplication

Multiplication - First Principles : Two numbers are considered, each of which represents a count or measurement. One of the amount is repeated the number of times given by the second amount to form the result representing the collective amount from such repetition.

eg: 12 xx 3 = 36

12 is the multiplicand

3 is the multiplier

36 is the product

The word "multiplicand" means: the number or quantity that is repeatedly added in a multiplication.

familiarize with the terminology
multiplicand

The word "multiplier" means: the number of times a quantity is repeatedly added.

familiarize with the terminology
multiplier

The word "product" means: the result of multiplication.

familiarize with the terminology
product

switch to interactive version