We read your photo as:

The rest mass of an electron is 0.000 000 000 000 000 000 000 000 000 000 910 938 kg. What is this written in Scientific Notation?

Physics

ScanSolve AI Answer

This answer stops before the end.

It was cut off when it was first written. Ask ScanSolve this question again for the full working.

Step-by-step solution

4 steps

To write a number in scientific notation, it must be in the form a×10ba \times 10^b, where 1≤∣a∣<101 \le |a| < 10 and bb is an integer.

  1. Analyze the given number.

    The rest mass of an electron is given as 0.000 000 000 000 000 000 000 000 000 910 938 kg0.000\,000\,000\,000\,000\,000\,000\,000\,000\,910\,938 \text{ kg}.
    Let's count the number of zeros after the decimal point before the first non-zero digit (9). There are 27 zeros.
    If we move the decimal point to the right until it is after the first non-zero digit (9), we move it 27 (zeros)+1 (for the digit 9)=2827 \text{ (zeros)} + 1 \text{ (for the digit 9)} = 28 places.
    Since we moved the decimal point to the right, the exponent of 10 would be negative.
    So, strictly based on the number as written, the scientific notation would be 9.10938×10−28 kg9.10938 \times 10^{-28} \text{ kg}.

  2. Examine the provided options.

    All the options have an exponent of 10−3110^{-31}. This indicates a discrepancy between the number written in the question and the options. The actual rest mass of an electron is a well-known physical constant, which is approximately 9.10938×10−31 kg9.10938 \times 10^{-31} \text{ kg}. It is highly probable that the long form of the number in the question contains a typo and was intended to represent this actual value.

  3. Convert the intended value (actual rest mass of an electron) to scientific notation.

    Assuming the question intends to refer to the actual rest mass of an electron, which is 0.000...000⏟30 zeros910938 kg0.\underbrace{000...000}_{30 \text{ zeros}}910938 \text{ kg}.
    To write this in scientific notation, we move the decimal point to the right until it is after the first non-zero digit (9).
    We count the number of places the decimal point moves: 30 (zeros)+1 (for the digit 9)=3130 \text{ (zeros)} + 1 \text{ (for the digit 9)} = 31 places.
    Since the decimal point is moved to the right, the exponent of 10 is negative.
    Thus, the scientific notation is 9.10938×10−31 kg9.10938 \times 10^{-31} \text{ kg}.

  4. Compare with the given options to find the one in correct scientific notation format.

    • 910938×10−31 kg910938 \times 10^{-31} \text{ kg} (The 'a' part, 910938, is not
Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp