Question

If a dog has a mass of 19.5 kg, what is its mass in the following units? Use scientific notation in all of your answers.(a) What is the dog's mass in grams?(b) What is the dog's mass in milligrams?(c) What is the dog's mass in micrograms?

Answer 1

Answer:

(a) 1.95 × 10⁴ g

(b) 1.95 × 10⁷ mg

(c) 1.95 × 10¹⁰ μg

Explanation:

A dog has a mass of 19.5 kg.

(a) What is the dog's mass in grams?

1 kilogram is equal to 10³ grams. The mass of the dog in grams is:

19.5 kg × (10³ g/1 kg) = 1.95 × 10⁴ g

(b) What is the dog's mass in milligrams?

1 gram is equal to 10³ milligrams. The mass of the dog in milligrams is:

1.95 × 10⁴ g × (10³ mg/1 g) = 1.95 × 10⁷ mg

(c) What is the dog's mass in micrograms?

1 gram is equal to 10⁶ micrograms. The mass of the dog in micrograms is:

1.95 × 10⁴ g × (10⁶ μg/1 g) = 1.95 × 10¹⁰ μg

Answer 2

The mass of the dog in grams, milligrams and micrograms are:

A. 19500 g

B.  1.95×10⁷ mg

C. 1.95×10¹⁰ μg

Standard conversion scale helps us to convert measurement from one units to another unit.

From the question given above, the mass of the dog is 19.5 kg. We can express the mass of the dog in grams, milligrams and micrograms as follow:

A. Converting 19.5 kg to grams (g)

1 kg = 1000 g

Therefore,

19.5 kg = 19.5 × 1000

19.5 kg = 19500 g

Thus, 19.5 kg is equivalent to 19500 g

B. Converting 19.5 kg to milligrams (mg)

1 Kg = 10⁶ mg

Therefore,

19.5 kg = 19.5 × 10⁶

19.5 kg = 1.95×10⁷ mg

Thus, 19.5 kg is equivalent to 1.95×10⁷ mg.

C. Converting 19.5 kg to micrograms (μg)

1 kg = 10⁹ μg

Therefore,

19.5 kg = 19.5 × 10⁹

19.5 kg = 1.95×10¹⁰ μg

Thus, 19.5 kg is equivalent to 1.95×10¹⁰ μg

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