Question

For Amit’s birthday, a cake of weight 250 g was ordered. What is the weight of the cake in kg?

Answer 1

Hint: Convert the unit of grams into kilograms. Use the operations of multiplication in order to reach the final solution. Also, we are aware of the fact that one kilogram is equal to a thousand grams. Unitary method i.e. finding the unit value from a multiple value, this method can be used to reduce the complications of this question.

Complete step-by-step answer:
We all know about the universal fact in the field of measurement that one kilogram is equal to thousand grams.
It can be written in the form $ 1{\text{ kg = 1000 g}} $ .
The question asks the value of 250 grams in the form of kilogram.
In short, 250 grams is to be converted into kilograms.
 $ 1{\text{ kg = 1000 g}} $ , therefore
 $ 1{\text{ kg = 1000 g}} $
Divide by 1000 on both sides of the equation.
  $ \Rightarrow \dfrac{1}{{{\text{1000}}}}{\text{ kg = 1 g}} $
We know that $ \dfrac{1}{{{\text{1000}}}}{\text{ kg = 1 g}} $ .
Now, we can substitute the value of 1 cm in the equation $ 250{\text{ g = 250 }} \times {\text{ }}\left( {{\text{1 g}}} \right) $ .
After substituting the value of 1 g, we get \[250{\text{ g = 250 }} \times {\text{ }}\left( {\dfrac{{\text{1}}}{{1000}}{\text{ g}}} \right)\] which is equal to 0.250 kg.
So, 250 g in the form of kg is equal to 0.250 kg.
 $\Rightarrow 250{\text{ g = 0}}{\text{.250 kg}} $
Therefore, the mass of the cake in kilograms is 0.250 kg.

Note: Keep in mind that $ 1{\text{ kg = 1000 g}} $ and $ 1000{\text{ kg }} \ne {\text{ 1 g}} $ . Students might get confused and might use the wrong value instead of the right value i.e. $ 1{\text{ kg = 1000 g}} $ . Appropriate operations such as addition, subtraction, multiplication or division are to be done in order to find the solutions in this type of question.