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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.

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Addition: First Principles

This page explains that combining two quantities and counting or measuring the combined quantity is addition in first principles. Addition is also explained using number-line.



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add two numbers There are `3` red cars and `4` blue cars in the figure. These cars are combined together and the total number of cars are counted.

Considering the figure with `3` red cars and `4` blue cars.add two numbers `3` and `4` are combined together and the counting is done from `1` to `7`. The resulting count is `7`.

add two numbers A red pencil is `3` centimeters in length. A green pencil is `4` centimeters in length.

add two numbers The two pencils are placed side-by-side. The length measurements is taken from
`0` and the measure at the end is `7`.

The count or measure of quantities can be combined or added.

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

add two numbers Addition `3+4` is given in number-line. The count is started from `3`. `4` jumps are made to land in `7`. The result of the addition is `7`.

The English word addition means: combining two quantities and measuring or counting the combined quantity

familiarize with the terminology
addition

Addition - First Principles : Two numbers are considered, each of which represents a count or measurement. The quantities represented by the numbers are combined to form a result representing a combined count or measurement. The combined count or measurement is the result of addition.

eg: `20` and `13` are combined together `20+13 = 33`.

`20` is an addend

`13` is also an addend

`33` is the sum

addend is the number that is added to, and also the number that is being added.

familiarize with the terminology
addend

sum is the result of the addition.

familiarize with the terminology
sum

Solved Exercise Problem:

What is the sum of `4` and `2`?

  • `7`
  • `6`
  • `6`

The answer is '`6`'.

                            
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