Which of the following weights is equivalent to 3.193 kilograms?

Rationale

A) 3,193 grams is equivalent to 3.193 kilograms.

The metric system uses a base-10 system for conversions among units. This means that to convert kilograms to grams, one must multiply the number of kilograms by 1000, as there are 1000 grams in a kilogram. Therefore, 3.193 kilograms is equivalent to 3,193 grams.

B (3,193,000 grams) YOUR ANSWER

This conversion has used a factor of 1,000,000 instead of the correct factor of 1,000. This would be the equivalent weight of 3,193 kilograms, not 3.193 kilograms.

C (319.3 grams) CORRECT

This conversion has used a factor of 100 instead of the correct factor of 1,000. This would be the equivalent weight of 0.3193 kilograms, not 3.193 kilograms.

D (0.003193 grams) YOUR ANSWER

This conversion has divided by a factor of 1,000,000 instead of multiplying by a factor of 1,000. This would be the equivalent weight of 3.193 micrograms, not 3.193 kilograms.

Conclusion

In the metric system, the conversion from kilograms to grams requires multiplication by a factor of 1,000, given that there are 1,000 grams in a kilogram. Therefore, 3.193 kilograms is equivalent to 3,193 grams. The other options incorrectly use different factors of conversion, resulting in weights that are not equivalent to 3.193 kilograms. Understanding the base-10 nature of the metric system is crucial for accurate conversions between units of measure.

Which of the following weights is equivalent to 3.193 kilograms?

A) 3,193 grams is equivalent to 3.193 kilograms.

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