Answer :
To write the number [tex]\(9.73 \times 10^{-2}\)[/tex] in standard decimal notation, follow these steps:
1. Understand the Scientific Notation:
- The notation [tex]\(9.73 \times 10^{-2}\)[/tex] means you are multiplying 9.73 by 10 raised to the power of -2.
2. Apply the Power of Ten:
- When you have [tex]\(10^{-2}\)[/tex], it means you move the decimal point in the number 9.73 two places to the left. This is because a negative exponent indicates division by 10 raised to that power.
3. Move the Decimal Point:
- Start with 9.73. The current position of the decimal is between 9 and 7.
- Move the decimal two places to the left:
- Move once: 0.973
- Move twice: 0.0973
4. Write the Result:
- After moving the decimal two places to the left, the standard decimal notation for [tex]\(9.73 \times 10^{-2}\)[/tex] is [tex]\(0.0973\)[/tex].
Therefore, the correct standard decimal notation for the expression [tex]\(9.73 \times 10^{-2}\)[/tex] is [tex]\(\boxed{0.0973}\)[/tex].
1. Understand the Scientific Notation:
- The notation [tex]\(9.73 \times 10^{-2}\)[/tex] means you are multiplying 9.73 by 10 raised to the power of -2.
2. Apply the Power of Ten:
- When you have [tex]\(10^{-2}\)[/tex], it means you move the decimal point in the number 9.73 two places to the left. This is because a negative exponent indicates division by 10 raised to that power.
3. Move the Decimal Point:
- Start with 9.73. The current position of the decimal is between 9 and 7.
- Move the decimal two places to the left:
- Move once: 0.973
- Move twice: 0.0973
4. Write the Result:
- After moving the decimal two places to the left, the standard decimal notation for [tex]\(9.73 \times 10^{-2}\)[/tex] is [tex]\(0.0973\)[/tex].
Therefore, the correct standard decimal notation for the expression [tex]\(9.73 \times 10^{-2}\)[/tex] is [tex]\(\boxed{0.0973}\)[/tex].
