Question

Which of the following is not the same as 105.6 milligrams?

0.1056 g
0.0001056 kg
0.001056 dkg

Answer 1

Answer: 105.6milligram is not the same as 0.001056dkg

Step-by-step 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.

Answer 2

Option C is wrong.

All the given units are unit of mass. The following conversions are used to solve this problem.

`1 g(gram)=1000 mg(milligram)`

`1 g (gram=10^(-3)kg (kilogram)`

1 g(gram)=10 dg(decigram)

The given mass is 105.6 mg

First option is 0.1056 g, converting g to mg:

`1 g=1000 mg`

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,
`1 kg =10^(+3)g`

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.