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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.
mathsMensuration : Length, Area, and VolumeIntroduction to Measurements

### Introduction to Standards

This topic introduces the following

•  What are standard in measurement?

•  What are Absolute Standards?

•  What are Derived Standards?

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Which of the following is the measure of length of a stick?

• 2 meter
• 2 meter
• red
• bounce

The answer is "2 meter".

Meter is a standard unit to measure length.

What does the word "length" mean?

• distance between two points
• distance-span
• both the above
• both the above

The answer is "both the above".

Meter is a standard unit to measure length.

What does the phrase "to measure" mean?

• to find the size or amount of a quantity
• to find the size or amount of a quantity
• to assure oneself; to be confident

The answer is "to find the size or amount of a quantity"

Meter is a standard unit to measure length.

What does the phrase "standard unit" mean?

• a reference that is accepted by all and represents the same amount for all
• a reference that is accepted by all and represents the same amount for all
• standing together in a group

The answer is "a reference that is accepted by all and represents the same amount for all"

Meter is a standard unit to measure length.

What does the word "meter" mean?

• an unit of length as given by the distance-span between two points on the prototype metal-rod
• ten millionth of the distance between equator and the north pole
• both the above
• both the above

The answer is "both the above".

The unit of length "meter" is specified in reference to the standard provided by the International System of Units.

A metal-bar of specific material and at specific temperature is kept in International Bureau of Weights and Measures. The distance between two markings on that bar is defined as the standard unit meter.

The definition of meter is also given in reference to distances that do not change and can be calculated or measured. For example, the distance between equator and north pole along a specific meridian is a constant. One ten-millionth of that distance is defined as one meter.

Another example is : Speed of light in vacuum is constant. So the distance traveled by light in vacuum in one in 300,000,000 seconds is one meter.

It is noted that the meter is defined independent of any other measures.

Which of the following means "existing independent and not relative to other"?

• absolute
• absolute
• conditional

The answer is "absolute". Meter is an example of an absolute standard.

To understand absolute standards better, some examples are provided

•  The unit of temperature, degree Celsius is defined based on: melting point of ice is 0^@ C and boiling point of water is 100^@ C.

•  The unit of time, second is defined based on: A normal day consists of 24 hours with 60 minutes in an hour and 60 seconds in a minute.

Comparing these with the units that are not independent

•  The unit of area, square meter, is derived from unit of length meter.

•  The unit of speed, meter per second, is derived from units of distance (meter) and time (second).

Which of the following describe the units like the unit of area and the unit of speed?

• derived standard
• derived standard
• area-speed standard

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

• existing, independent and not relative to other
• existing, independent and not relative to other
• dependent and in reference to other

The answer is "existing independent and not relative to other". The word "absolute" is from a root word meaning free and unrestricted.

What is the term used to refer "existing independent and not relative to other"?

• Pronunciation : Say the answer once

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

• existing independent and not relative to other
• dependent and in reference to other
• dependent and in reference to other

The answer is "dependent and in reference to other". The word "derived" is from root word meaning to draw out and take from.

What is the term used to refer "dependent and in reference to other"?

• Pronunciation : Say the answer once