Option C is wrong.
All the given units are unit of mass. The following conversions are used to solve this problem.
[tex]1 g(gram)=1000 mg(milligram)[/tex]
[tex]1 g (gram=10^{-3}kg (kilogram)[/tex]
1 g(gram)=10 dg(decigram)
The given mass is 105.6 mg
First option is 0.1056 g, converting g to mg:
[tex]1 g=1000 mg[/tex]
Thus,
0.1056 g=0.1056\times 1000 mg=105.6 mg
Therefore, 0.1056 g=105.6 mg
Second option is 0.0001056 kg
Since, [tex]1 kg =10^{+3}g[/tex]
0.0001056 kg=0.1056 g
Now, 0.1056 g=105.6 mg (as proved above)
Therefore, 0.0001056 kg=105.6 mg.
Third option is 0.001056 dkg.
Since, 1 dkg=10 g
thus, 0.001056 dkg=0.01056 g
Converting gram to milligram,
1 g=1000 mg
Thus, 0.01056 g=10.56 mg
Therefore, 0.001056 dkg is not equal to 105.6 mg.
Thus, option C is wrong.
Answer: 105.6milligram is not the same as 0.001056dkg
Explanation:
The units stated in the question are use to measure the mass of any substance.
(a) For 0.1056g
In terms of conversion
1mg= 0.001g
105.6mg= 105.6 × 0.001 = 0.1056g
Therefore, it is correct.
(b) For 0.0001056kg
In terms of conversion
1mg =0.000001kg
105.6mg= 105.6 × 0.000001= 0.0001056kg
Therefore, it is correct
(c) For 0.001056dkg
dkg means dekagram and
1mg= 0.0001dkg
105.6mg= 105.6×0.0001 = 0.01056dkg
Therefore, it is incorrect.
Note that mg means milligram.
