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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

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.

click on the content to continue..

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

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

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

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

• an unspecified amount or number of

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

• Pronunciation : Say the answer once

What is the sum of 4 and 2?
• 7
• 6
• 6
The answer is '6'.