Question

multiselect which of the following are equivalent to 73 hectograms? a) 0.73 grams b) 7.300 grams c) 0.73 kilograms d) 6,300 milligrams e) 7.3 kilograms

Explanation:

Step1: Recall the conversion factor

1 hectogram = 100 grams. So, 73 hectograms = 73×100 grams = 7300 grams.

Step2: Convert to kilograms

Since 1 kilogram = 1000 grams, then 7300 grams = $\frac{7300}{1000}$ kilograms = 7.3 kilograms.

Step3: Check each option

A) 0.73 grams is not equal to 7300 grams.
B) 7.300 grams is not equal to 7300 grams.
C) 0.73 kilograms = 0.73×1000 = 730 grams, not equal to 7300 grams.
D) 6300 milligrams = 6.3 grams (since 1 gram = 1000 milligrams), not equal to 7300 grams.
E) 7.3 kilograms = 7.3×1000 = 7300 grams, which is equal to 73 hectograms.

Answer:

E. 7.3 kilograms