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Thought-Process to Discover Knowledge

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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.

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### Subtraction: First Principles

This page explains that taking away from a quantity, a part of a quantity is subtraction in first principles. Subtraction is also explained using number-line.

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There are 7 cars shown in the figure. Out of which 4 are taken away. The number of cars remaining is 3.

4 is taken away from 7 and the counting is carried out on the remaining cars from 1 to 3. The resulting count is 3.

Considering taking away 4 cars from a group of 7 cars. 4 is taken away from 7 and the counting is carried out on the remaining cars from 1 to 3. The resulting count is 3.

A pencil is 7 centimeters in length. A person used 4 centimeters of that pencil. The length of the remaining pencil is to be found.

The length of the pencil is 7 centimeters. The length used up is 4 centimeters. The remaining pencil is measured and the measure at the end is 3. The remaining length is 3 centimeters.

A part of the count or measure of quantities can be taken-away or subtracted.

The subtraction results in count or measure of the remaining quantity.

Subtraction 7-4 is given in number line. The count is started from 7 and 4 backward-jumps are made to land in 3. The result of the subtraction is 3.

The word "subtraction" means: removing part from a quantity and measuring or counting the remaining quantity.

familiarize with the terminology
subtraction

Subtraction - First Principles : Two numbers are considered, each of which represents a count or measurement. From one amount represented by the first number, the amount represented by the second is taken away to form a result representing the remaining amount. The count or measurement of the remaining amount is the result of subtraction.

eg: 20-13 = 7

20 is the minuend

13 is the subtrahend

7 is the difference

The minuend is, the number from which another number is subtracted.

familiarize with the terminology
minuend

The subtrahend is, the number that is subtracted from another number.

familiarize with the terminology
subtrahend

The difference is, the result of subtraction.

familiarize with the terminology
difference

Solved Exercise Problem:

What is the difference 4-2?

• 2
• 2
• 6

The answer is '2'.

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