Question

Pugazhenthi ate $ 100{\text{ g}} $ of nuts which is equal to $ 0.1{\text{ kg}} $ .
I.True
II.False

Answer 1

Hint: The question is related to the conversion of one unit to another, we have to also keep in mind the decimal notations so that when a unit is not in whole numbers. The question relates to conversion of weight from one unit to another. After finding the answer we have to check whether it is true or false. The formula for conversion from kilogram to gram is given below
\[1kg = 1000gm\]

Complete step by step solution:
We have to convert the given weight of nuts given in grams to kilograms.
The formula for conversion is:
\[1kg = 1000gm\]
The weight given is $ 100gm $
The given unit can be converted as below,
 $ \dfrac{{100}}{{1000}}kg $
 $ 100gm = \dfrac{1}{{10}}kg $
 $ 100gm = 0.1kg $
Which is the solution of the given weight of Pugazhenthi in kilograms. The question asks us about the true or false of the statement. Since the statement is indeed correct here because we have proved below,
 $ 100gm = 0.1kg $
Thus this statement is indeed correct and hence the option A. (true) is the correct option.
So, the correct answer is “Option A”.

Note: The prefix on a unit can help us to convert one unit into another unit easily,
Some important prefixes are centi, micro, milli, kilo, mega.
Their prefix and their conversion is given below,
The prefix centi is $ {10^{ - 2}} $ prefix, prefix micro is $ {10^{ - 6}} $ prefix, prefix milli is $ {10^{ - 3}} $ prefix, prefix kilo is $ {10^3} $ prefix, prefix mega is $ {10^{ - 6}} $ prefix.
Thus if we want to found out how much is kilometre we can write,
 $ 1{\text{ }}kilometre = {10^3}metre $
Or for megametre we can write,
 $ 1{\text{ megametre}} = {10^6}metre $
Thus this way we can use these prefix to easily convert one unit to another