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One milligram is equal to 10^(-3) grams. Write this number using a positive exponent.

User Ian Warner
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Final answer:

One milligram is one-thousandth of a gram, or 1 mg = 1 × 10-3 g, and this can be expressed in scientific notation with a positive exponent as 1 × 103 to represent 0.001 grams.

Step-by-step explanation:

The statement 'One milligram is equal to 10-3 grams' can be rewritten using a positive exponent by expressing the gram as the base unit and remembering that a milligram is one-thousandth of a gram. Therefore, 1 mg can be expressed as 1 × 10-3 g, which equals 0.001 grams.

To convert into a positive exponent, we simply recognize that 0.001 is the same as 1 x 103 (since the decimal has been moved three places to the right). Converting the mass examples given into scientific notation, we get:

  • 3.8 × 10-5 kg = 3.8 × 102 mg
  • 2.3 × 1017 kg = 2.3 × 1014 g
  • 2.4 × 10-11 kg = 2.4 × 10-8 g
  • 8 × 1015 kg = 8 × 1012 g
  • 4.2 x 10-3kg = 4.2 x 100 g
User Matias Gonzalez
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