Questions: A dog has a mass of 11.2 kg. Round each of your answers to 3 significant figures. What is the mass of the dog in grams? g What is the mass of the dog in milligrams? mg

A dog has a mass of 11.2 kg. Round each of your answers to 3 significant figures. What is the mass of the dog in grams? g What is the mass of the dog in milligrams? mg
Transcript text: A dog has a mass of 11.2 kg . Round each of your answers to 3 significant figures. What is the mass of the dog in grams? $\square$ g What is the mass of the dog in milligrams? $\square$ mg
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Solution

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Solution Steps

Step 1: Convert Mass from Kilograms to Grams

To convert the mass of the dog from kilograms to grams, we use the conversion factor that 1 kilogram is equal to 1000 grams. Therefore, the mass in grams is calculated as follows:

\[ 11.2 \, \text{kg} \times 1000 \, \frac{\text{g}}{\text{kg}} = 11200 \, \text{g} \]

Step 2: Convert Mass from Kilograms to Milligrams

To convert the mass of the dog from kilograms to milligrams, we use the conversion factor that 1 kilogram is equal to 1,000,000 milligrams. Therefore, the mass in milligrams is calculated as follows:

\[ 11.2 \, \text{kg} \times 1,000,000 \, \frac{\text{mg}}{\text{kg}} = 11,200,000 \, \text{mg} \]

Final Answer

  • The mass of the dog in grams is \(\boxed{1.12 \times 10^4 \, \text{g}}\).
  • The mass of the dog in milligrams is \(\boxed{1.12 \times 10^7 \, \text{mg}}\).
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