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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.

Read in the blogs more about the unique learning experience at nubtrek.
mathsWhole NumbersWhole numbers addition and subtraction

### 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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There are 3 red cars and 4 blue cars in the figure. What is the total number of cars in the figure?

• 7
• 7
• 3 or 4

The answer is '7'

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

A red pencil is 3 centimeters in length. A green pencil is 4 centimeters in length. What is the combined length of the pencils?

• 7
• 7
• 3 or 4

The answer is '7'

The length of the red pencil is 3 centimeters. The length of the green pencil is 4 centimeters. The two pencils are placed side-by-side. The length measurements is taken from 0 and the measure at the end is 7. The combined length is 7 centimeters.

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

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

What is the sum of 3 and 4? addition in number line

• 7
• 7
• 3 or 4

The answer is '7'. 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.

Which of the following is a meaning for the word "addition"?

• combining two quantities and measuring or counting the combined quantity
• combining two quantities and measuring or counting the combined quantity
• advertisement for specific audition

The answer is "combining two quantities and measuring or counting the combined quantity".

What is the term used to refer "combining two quantities and measuring / counting the combined quantity"?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is "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

Which of the following is a meaning for the word "addend"?

• a number that is added to
• a number that is being added
• both the above
• both the above

The answer is "both the above".

What is the term used to refer "the numbers that are being added"?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is "addend".

Which of the following is a meaning for the word "sum"?

• an unspecified amount or number of
• the result of addition
• the result of addition

The answer is "the result of addition".

What is the term used to refer "the result of addition"?

• Pronunciation : Say the answer once
Spelling: Write the answer once

The answer is "sum".

Solved Exercise Problem:

What is the sum of 4 and 2?

• 7
• 6
• 6

The answer is '6'.

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