Question

Express the terms given below in kg (they are given in grams)
(I) 200 g
(II) 3470 g

Answer 1

Hint: To solve this question we will use the formula of conversion of grams into kilograms that is kg which is given as 1kg = 1000 grams. We will separately solve both the given parts (i) and (ii) to get the required result.

Complete step-by-step answer:
Let us consider part (I).
(I) 200g
We have to convert 200g into kilograms (kg). We have a conversion formula for converting kilograms (kg) into grams (g) which are given as 1 kg = 1000g. Now, as we need to convert grams (g) into kilograms (kg) and not kilograms (kg) into grams, so we will calculate the formula of the other side by using
\[1kg=1000g\]
\[\Rightarrow 1000g=1kg\]
Dividing both the sides of the above equation by 1000, we have,
\[\dfrac{1000g}{1000}=\dfrac{1}{1000}kg\]
\[\Rightarrow 1g=0.001kg.....\left( i \right)\]
Hence, finally, we have the conversion formula of g into kg. Let us use this formula stated in the equation to solve our question. We have 200g = ? kg. As, 1g = 0.001 kg, using equation (i), then by applying the unitary method, we have,
\[\Rightarrow 200g=200\times 0.001kg\]
\[\Rightarrow 200g=0.200kg\]
\[\Rightarrow 200g=0.2kg\]
Hence, 200g is nothing but 0.2 kg.
\[\Rightarrow 200g=0.2kg\]
Let us similarly solve part (II)
(II) 3470 g
Let us solve this by using equation (i).
\[\Rightarrow 1g=0.001kg\]
Using the unitary method, we have,
\[3470g=0.001\times 3470kg\]
\[\Rightarrow 3470g=3.470kg\]
Therefore, 3470g is nothing but 3.470 kg.
Hence, we have obtained our answers.

Note: A key point to note here in this question is that while calculating 200g and writing it as 200g = 0.2 kg, we have removed 2 zeroes after 0.2, this is so because ‘0’ to right-hand side of the decimal doesn’t matter. Also, note that 3.470 remains as 3.470 kg.