QQuestionMathematics
QuestionMathematics
How many grams are in a centigram, expressed in scientific notation?
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Conversion
To convert between metric units, we need to recall the relationship between centigrams (cg) and grams (g).
Step 3:: Determine the Conversion Factor
1 \mathrm{~cg} = 10^{-2} \mathrm{~g}
This means:
Step 4:: Express the Conversion in Scientific Notation
1 \mathrm{~cg} = 1 \times 10^{-2} \mathrm{~g}
The conversion can be directly written as:
Final Answer
Key Insight: In the metric system, each prefix represents a power of 10, making conversions straightforward by moving the decimal point or using scientific notation.
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