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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 Measuring Length

This topic introduced measuring length as "distance-span". It is an absolute standard and measured in reference to a standard 1 unit.

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Which of the following explains measurement of length?

• the measurement of distance-span between two points, specified in reference to the standard meter
• the measurement of distance-span between two points, specified in reference to the standard meter
• the measurement of surface-span in a closed figure, specified in reference to the surface-span of a square of sides 1 meter

The answer is "the measurement of distance-span between two points, specified in reference to the standard meter"

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

• s shaped pan
• full extent or full spread of something
• full extent or full spread of something

What is the term used to refer "full spread of something"?

• Pronunciation : Say the answer once

Length of an object is the distance-span of the object from one end to the other end. To specify the distance-span the standard-unit meter is defined. The figure illustrates reference 1m at the top-right corner and the length of line segment bar(AB) is measured as 3m in reference to the standard-unit.

What is the standard unit of measure for length?

• meter
• meter
• height

The distance between two cities is 200000 meter. It is noted that the number is very large in some applications.

Which of the following help in simplifying such large values?

• it cannot be simplified
• a larger measure of length is defined such as 1 kilometer = 1000 meter.
• a larger measure of length is defined such as 1 kilometer = 1000 meter.

The answer is "a larger measure of length is defined". Using the larger measure, the distance between two cities is given as 200 kilometer.

The length of a pen is very small to measure in 1 meter. It is noted that the number is very small in some applications.

Which of the following help in simplifying such small values?

• it cannot be simplified
• a smaller measure of length is defined such as 1 meter = 100 centimeter.
• a smaller measure of length is defined such as 1 meter = 100 centimeter.

The answer is "a smaller measure of length is defined". Using the smaller measure, the length of a pen is given as 7 centimeter.

The basic unit "meter" is converted into smaller or larger units of lengths.

1000 millimeter = 1 meter

100 centimeter = 1 meter

10 decimeter = 1 meter

1 decameter = 10 meter

1 hectometer = 100 meter

1 kilometer = 1000 meter Remember the following:
"milli" is from a Latin root word meaning thousand
"centi" is from a Latin root word meaning hundred
"deci" is from a Latin root word meaning tenth
"deca" is from a Greek root word meaning ten
"hecto" is from a Greek root word meaning hundred
"kilo" is from a Greek root word meaning thousand

Among these, millimeter, centimeter, meter, and kilometer are widely used depending on the scale of the length measurement.

Length : The distance-span between two points is the length. It is measured in meter or in one of its other forms. Length is specified as a number in reference to the reference-prototype-standard meter (or in one of other derived or similar forms).

Which of the following explains the statement "length of the stick is 3 meter"?

• it is just length
• The distance-span of the stick equals 3 distance-spans given by the standard unit "meter"
• The distance-span of the stick equals 3 distance-spans given by the standard unit "meter"

The answer is "The distance-span of the stick equals 3 distance-spans given by the standard unit meter".

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