Question

Subtract 4kg 6hg 9dag 4g 5dg from 6kg 3hg 4g 2dg.

Answer 1

Hint: Convert the given weights into single unit ‘gram’. Use the conversions: - 1kg = 1000g, 1hg = 100g, 1dag = 10g, 1dg = \[\dfrac{1}{10}\]g to convert the given two weights in grams. Now, simply subtract the two decimal numbers obtained by the conversion. Again use the same conversion to get the answer in the format given the question.

Complete step by step answer:
We have been given two weights: -
4kg 6hg 9dag 4g 5dg and 6kg 3hg 4g 2dg
Here, we have been asked to subtract the first weight from the second one.
We know that basic mathematical operations take place between the same units. That means, kg should be added with kg and gram should be added with grams. So, let us convert them into one unit. Here, we are converting them into gram. Here, we have a list a basic conversions of weights: -
1 kg = 1 kilogram = 1000 gram
1 hg = 1 hectogram = 100 gram
1 dag = 1 decagram = 10 gram
1 dg = 1 decigram = 0.1 gram
So, 4kg 6hg 9dag 4g 5dg
= (4000 + 600 + 90 + 4 + 0.5) g
= 4694.5 g
Also, 6kg 3hg 4g 2dg
= (6000 + 300 + 4 + 0.2) g
= 6304.2 g
Now, we have to subtract 4694.5 g from 6304.2 g.
Therefore, using simple subtraction, we have,
\[\Rightarrow \] 6304.2 g – 4694.5 g = 1609.7 g
Now, let us convert 1609.7 g into the format in which the question is given. So, 1609.7 g can be written as: -
\[\Rightarrow \] (1000 + 600 + 9 + 0.7) g
= 1 kg 6 hg 9 g 7 dg

Hence, our answer is 1 kg 6 hg 9 g 7 dg.

Note: One may note that here we have converted all the units into grams but you can also convert them into any other unit such as kg, hg, dg, dag etc, by using the same conversion rules. The most important thing to remember is that, for subtraction or addition we must make the units of the quantities same.