
Express the terms given below in kg (they are given in grams)
(I) 200 g
(II) 3470 g
Answer
495.6k+ views
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
Dividing both the sides of the above equation by 1000, we have,
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,
Hence, 200g is nothing but 0.2 kg.
Let us similarly solve part (II)
(II) 3470 g
Let us solve this by using equation (i).
Using the unitary method, we have,
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.
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
Dividing both the sides of the above equation by 1000, we have,
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,
Hence, 200g is nothing but 0.2 kg.
Let us similarly solve part (II)
(II) 3470 g
Let us solve this by using equation (i).
Using the unitary method, we have,
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.
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