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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 NumbersComparing Whole Numbers

### Number-line (Whole Numbers)

This page establishes the concept of smaller or larger between two quantities. The comparison is extended to the numbers in abstraction.

The ordered sequence of whole number and the representation of the order using the number-line is discussed.

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Compare the number of apples and number of flowers in the figure. Which of the following is correct?

• number of flowers is less than number of apples
• number of flowers is more than number of apples
• number of flowers is more than number of apples

The answer is 'number of flowers is more than number of apples'

Number of apples: 2
Number of flowers : 3 The number of apples is less than the number of flowers in this given picture.

Numbers represent count of objects or measure of quantities. The numbers are ordered with values assigned to them. The order is -- 1, followed by 2, followed by 3 and so on. In the order, the value of 2 is lesser than the value of 3.

What does the word 'ordered' mean?

• to arrange in a regular way
• to arrange in a regular way
• to bring into a room

The answer is 'to arrange in a regular way'.

Which of the following is the fundamental property of numbers?

• numbers are in an ordered sequence representing the magnitude of quantity represented by them
• numbers are in an ordered sequence representing the magnitude of quantity represented by them
• numbers are not in any ordered sequence

The answer is "numbers are in an ordered sequence". The ordered sequence represents the magnitude of quantity represented by the numbers.

The whole numbers are in the ordered sequence

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,  etc. This is the ordinal property of whole numbers.

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

• relating to order or series
• relating to order or series
• a person in authority to pass orders

The answer is "relating to order or series".

What is the term used to refer "relating to order in a sequence"?

• Pronunciation : Say the answer once

The order of the numbers is represented in a line. It is called number-line. The number-line is shown in the figure.

Number order : The numbers in the whole numbers is ordered starting from 0 to successive numbers as 0,1,2,cdots

Face-value order : The order of value of a digit in a position of a number is
0<1<2<3<4<5<6<7<8<9

Place-value order : The order of place value is units<tens<hundreds 

Consider comparing 8 and 7`. The comparison of numbers in the number-line is illustrated in the figure.

The two numbers are positioned as one on the right side and another on the left side. The one on the right side is greater. The other is smaller.

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