Question

How do you convert 4200 decigrams to grams?

Answer 1

Hint: We need to convert the unit of 4200 decigrams into grams. We find the equivalent value of 4200 decigrams in grams. The value changes with the change of unit. We use the relation between decigrams and grams where one gram is equal to 10 decigrams. We divide 4200 by 10 to find the solution of the problem.

Complete step by step answer:
We need to convert the unit of 4200 decigrams into grams as we need to find the value of grams in 4200 decigrams.
We know the relation between grams and decigrams is that one gram is equal to 10 decigrams.
We know the unitary system. The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
one gram is equal to 10 decigrams. This means 10 decigrams will be equal to one gram.
Hence, 4200 decigrams will be equal to the division of 4200 by 10.
The quotient value will be equal to $\dfrac{4200}{10}=420$.
Therefore, 4200 decigrams are equivalent to 420 grams.

Note: In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple. We can also convert the decimal into its fractional form. We have $0.1$ gram for every 10 decigrams which is equal to $0.1=\dfrac{1}{10}$ gram. We can multiply $\dfrac{1}{10}$ with 4200 which gives a similar result of 420 grams.