Question

Find quotient of following 9g 6dg 5cg 1mg $ \div $ 12

Answer 1

Hint:This problem is based on a metric system. Metric System is basically a system used for measuring distance, length, volume, weight and temperature. It is based on three basic units with which we can measure almost everything in the world
M- metre, used to measure the length
Kg- kilogram, used to measure the mass
S- second, used to measure time

To solve this problem we need to convert the units in the same unit. For this we can use the following table.

Kilogram	Kg	1000g
Gram	g	1g
Decigram	dg	0.1g
Centigram	cg	0.01g
Milligram	mg	0.001g

Complete step-by-step solution:
By using above conversion table
(i) $6dg = 6 \times 0.1g = 0.6g$
(ii) $5cg = 5 \times 0.01g = 0.05g$
(iii) $1mg = 1 \times 0.001g = 0.001g$
Now we will add all the numbers
$9g + 0.6g + 0.05g + 0.001g$
$ = 9.651g$
Now according to the question we need to divide it by 12 to get quotient.
So 9g 6dg 5cg 1mg $ \div 12 = \dfrac{{9.651}}{{12}}g$
$ = 0.80425g$
So quotient of above problem is $0.80425g$

Note:To solve these types of problems we need to convert all the units in the same unit. Some examples for conversion are given below
 Convert 10.20 kg to g. Here we are converting a bigger unit i.e kilogram to smaller unit i.e gram. So we will multiply the factor to a given number.
So, \[10.20kg{\text{ }} = {\text{ }}10.20{\text{ }} \times {\text{ }}1000 = {\text{ }}10200g\]
But if we convert 10200g to kg. Then it will become a conversion of smaller units to bigger units so we will Divide the given number by the factor.