Question

Rank the following masses from least to greatest: 43.8 mg, 0.000038 kg, 0.539

A) 0.000038 kg, 43.8 mg, 0.539
B) 43.8 mg, 0.000038 kg, 0.539
C) 0.000038 kg, 0.539, 43.8 mg
D) 43.8 mg, 0.539, 0.000038 kg

Answer 1

To rank the masses from least to greatest, all masses must be converted to the same unit (kilograms). After conversion, the masses in ascending order are: 0.000038 kg, 43.8 mg (0.0000438 kg), 0.539 kg. The correct answer is A) 0.000038 kg, 43.8 mg, 0.539.

Step-by-step explanation:

To rank the following masses from least to greatest (43.8 mg, 0.000038 kg, 0.539), we first need to convert all masses to the same unit for comparison. Since the kilogram (kg) is the SI base unit for mass, we will convert milligrams (mg) and the unitless number (assumed to be kilograms) to kilograms. Here are the conversions:

• 43.8 mg is equal to 0.0000438 kg (since 1 mg = 1 x 10-6 kg)
• 0.000038 kg is already in kilograms
• 0.539 is assumed to be in kilograms so it doesn't require conversion

Now, comparing these values, we have:

1. 0.000038 kg (the smallest)
2. 0.0000438 kg
3. 0.539 kg (the largest)

Therefore, the correct order from least to greatest mass is: 0.000038 kg, 43.8 mg, 0.539.

Choice A) is the correct answer: 0.000038 kg, 43.8 mg, 0.539.