Which of the following sets of quantities are equivalent?

Which of the following sets of quantities are equivalent?

• A. 3,210 mg and 3.210 g
• B. 2,500 mg and 2.500 g
• C. 2,310 mg and 2.310 g
• D. 1,000 mg and 1 g

Answer: (C)

The correct answer is based on understanding the relationship between milligrams and grams. The key conversion factor to remember is that 1 gram (g) is equal to 1,000 milligrams (mg). To compare the quantities, we can convert everything to the same unit. For the correct choice, when we look at the values given: - 2,310 mg can be converted to grams using the conversion factor (since 1 g = 1,000 mg): \[ \frac{2,310 \, \text{mg}}{1,000} = 2.310 \, \text{g} \] This shows that 2,310 mg is indeed equivalent to 2.310 g. By contrast, the other choices do not maintain this equivalency. For example, 3,210 mg would convert to 3.210 g, while 2,500 mg would equal 2.500 g and 1,000 mg would convert exactly to 1 g. Each of these shows a valid conversion, but the problem specifically asks for equivalent sets, and in this case, only the relationship presented in the correct answer confirms that both quantities represent the same mass.

The correct answer is based on understanding the relationship between milligrams and grams. The key conversion factor to remember is that 1 gram (g) is equal to 1,000 milligrams (mg). To compare the quantities, we can convert everything to the same unit.

For the correct choice, when we look at the values given:

• 2,310 mg can be converted to grams using the conversion factor (since 1 g = 1,000 mg):

[

\frac{2,310 , \text{mg}}{1,000} = 2.310 , \text{g}

]

This shows that 2,310 mg is indeed equivalent to 2.310 g.

By contrast, the other choices do not maintain this equivalency. For example, 3,210 mg would convert to 3.210 g, while 2,500 mg would equal 2.500 g and 1,000 mg would convert exactly to 1 g. Each of these shows a valid conversion, but the problem specifically asks for equivalent sets, and in this case, only the relationship presented in the correct answer confirms that both quantities represent the same mass.