Question

Write \[35\] and a half \[Kg\] in decimals.
A) \[2\]
B) \[3\]
C) \[5\]
D) None of these

Answer 1

Hint: First we know that one \[kg\] is equal to a thousand grams. To convert kilogram to decimal. First express the kilogram value in rational form. then express as a decimal form. if the given kilogram value is any integer then it is in the form of decimal only.

Complete step by step solution:
To convert kilograms to grams, multiply the kilogram value by \[1000\].
Given \[35\] and a half \[Kg\]
Which is written as \[\left( {35 + \dfrac{1}{2}} \right)\]\[Kg\]
Since, the kilogram value is in the form of rational. We have to convert into decimal by dividing the numerator by denominator of the given kilogram value we get
\[\left( {35 + \dfrac{1}{2}} \right)kg = \dfrac{{71}}{2}\;kg = 35.5\]\[Kg\]
Therefore, We can write \[35\] and a half \[Kg\] in decimals as $35.5 Kg.$ So, Option (D) is correct.

Additional information:
Since we know that \[1kg = 1000\;grams\]. So, to convert from \[Kg\] to grams, multiply the kilogram value by \[1000\].
Here kilogram value is \[\left( {35 + \dfrac{1}{2}} \right)\]
Then \[\left( {35 + \dfrac{1}{2}} \right)kg = \left( {35 + \dfrac{1}{2}} \right) \times 1000\;grams\]
Which gives \[\left( {35 + \dfrac{1}{2}} \right)kg = \dfrac{{71000}}{2}\;grams\].

Note:
> Note that at the Earth's surface, a mass of \[1\]\[kg\] weighs approximately \[2.20\] pounds (\[lb\]). There are \[7700\] calories in one kilogram.
> The SI Unit of mass is kilogram. The kilogram symbol is \[kg\]. It is defined as the mass of a particular international prototype made of platinum-iridium and kept at the International Bureau of Weights and Measures. It was originally defined as the mass of one litre (\[{10^{ - 3}}\] cubic meter) of pure water.