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22 October, 18:01

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?

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  1. 22 October, 19:26
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    (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
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