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It is roughly 7 3/8 inches long

Option (b) is correct. The approximate length of the unsharpened pencil is almost  [tex]\boxed{20\text{ cm}}[/tex] or [tex]\boxed{2\times10^{-1}\text{ m}}[/tex].

Explanation:

The measurement of the quantity is the most fundamental requirement for the  estimation of any quantity. The measurement of length of a body is done using the standard unit of measurement which is meter.

The approximate length of an unsharpened pencil is considered to be almost [tex]20\text{ cm}[/tex].

In order to express the length of the pencil in the standard unit of measurement of length, we should know about the conversion factor.

One meter is considered to be equal to the [tex]100\text{ cm}[/tex] of the length. The conversion factor can be expressed mathematically as:

[tex]n=\dfrac{1\text{ m}}{100\text{ cm}}[/tex]

The length of the pencil can be expressed in terms of standard unit as:

[tex]\begin{aligned}l&=20\text{ cm}\left(\dfrac{1\text{ m}}{100\text{ cm}}\right)\\&=2\times10^{-1}\text{ m}\end{aligned}[/tex]

Thus, option (b) is correct. The approximate length of the unsharpened pencil is almost  [tex]\boxed{20\text{ cm}}[/tex] or [tex]\boxed{2\times10^{-1}\text{ m}}[/tex].

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Answer Details:

Grade: Middle School

Subject: Physics

Chapter: Units and Measurements

Keywords:

length, approximate, unsharpended, pencil, standard unit, estimation, 20 cm, 0.2 m, quantity, measurement.