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Linda converted 0.0005 liters to milliliters using a calculator. The calculator displayed the number

5E − 7 5E − 7. What is this number in scientific notation?(1 point)

3 answers

The number displayed by the calculator, \( 5E - 7 \), is in scientific notation and represents \( 5 \times 10^{-7} \).

However, it appears there may have been some confusion because \( 0.0005 \) liters converted to milliliters is actually \( 0.5 \) milliliters, which can also be expressed in scientific notation as \( 5 \times 10^{-1} \) milliliters.

To summarize:

  • \( 5E - 7 \) means \( 5 \times 10^{-7} \)
  • \( 0.0005 \) liters is actually \( 0.5 \) milliliters, which is \( 5 \times 10^{-1} \) mL.

If Linda's calculator is showing \( 5E - 7 \), there may be a calculation error. For the conversion itself, \( 0.0005 \) liters is \( 0.5 \) mL.

is this correct?

Let’s clarify the details of the conversion step by step.

  1. Understanding the conversion:

    • 1 liter (L) is equal to 1000 milliliters (mL).
    • Therefore, to convert liters to milliliters, you multiply the number of liters by 1000.

  2. Converting 0.0005 liters to milliliters: \[ 0.0005 , \text{L} \times 1000 , \text{mL/L} = 0.5 , \text{mL} \]

  3. Scientific Notation of 0.5 mL:

    • 0.5 can be expressed in scientific notation as \( 5 \times 10^{-1} \) mL.

Now, regarding the calculator display:

  • The notation \( 5E - 7 \) means \( 5 \times 10^{-7} \), which is not the correct conversion of 0.0005 L, as \( 5 \times 10^{-7} \) represents a much smaller number (0.0000005) in conventional decimal form.

Conclusion: The conversion from 0.0005 liters to milliliters is correctly done as \( 0.5 \) mL, which is expressed in scientific notation as \( 5 \times 10^{-1} \) mL. If the calculator is reading \( 5E - 7 \), it appears to be displaying an unrelated or incorrect value.

So, to summarize:

  • Correct conversion: \( 0.0005 \) liters = \( 0.5 \) mL or \( 5 \times 10^{-1} \) mL.
  • Calculator display \( 5E - 7 = 5 \times 10^{-7} \) is not the conversion of \( 0.0005 \) liters.