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82μL=[?]×10L.
a) 8.2
b) 8200
c) 0.0082
d) 820

1 Answer

1 vote

Final answer:

To convert 82 microliters to a number multiplied by 10 liters, we convert microliters to liters and then divide by 10 liters to find the unknown multiplier. The correct answer is (c) 0.0082, which equates to 8.2 x 10^-6 when expressed in scientific notation.

Step-by-step explanation:

The student is asking to convert a volume in microliters (μL) to a volume in liters (L), represented in scientific notation. The specific conversion is from 82 microliters (82μL) to some number multiplied by 10 Liters, which we can denote as ?×10L, where ? represents the unknown multiplier we are trying to find.

To solve this conversion, we need to know the relationship between microliters and liters. There are 1,000,000 microliters in one liter. Therefore, we can perform the following calculations:

  1. Convert microliters to liters: 82μL = 82 x 10-6 L (since 1μL = 10-6 L).
  2. Divide this result by 10 liters to find the unknown multiplier: (82 x 10-6 L) / 10 L = 8.2 x 10-6.

The best match from the options given is (c) 0.0082 since 8.2 x 10-6 is equivalent to 0.0082.

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