Thank you for visiting Which choice correctly expresses the number below in scientific notation 0 0000000998 A tex 998 cdot 10 8 tex B tex 99 8 cdot 10. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To express the number 0.0000000998 in scientific notation, follow these steps:
1. Identify the significant digits: Look at the number and find the first non-zero digit, which in this case is 9.
2. Rewrite the number: Move the decimal point right after this digit to rewrite the number as 9.98. This becomes the coefficient in scientific notation.
3. Count the decimal places moved: To get from the original number (0.0000000998) to 9.98, you have to move the decimal point 8 places to the right.
4. Determine the exponent: Because you moved the decimal point 8 places to the right, the exponent in scientific notation is -8. Negative exponents indicate that the original number was less than 1.
5. Combine into scientific notation: The scientific notation format is [tex]\(M \cdot 10^n\)[/tex], where [tex]\(M\)[/tex] is the number between 1 and 10, and [tex]\(n\)[/tex] is an integer. Based on our steps:
- The number (coefficient) is 9.98.
- The exponent is -8.
Therefore, the number 0.0000000998 expressed in scientific notation is [tex]\(9.98 \cdot 10^{-8}\)[/tex].
So, the correct choice is D. [tex]\(9.98 \cdot 10^{-8}\)[/tex].
1. Identify the significant digits: Look at the number and find the first non-zero digit, which in this case is 9.
2. Rewrite the number: Move the decimal point right after this digit to rewrite the number as 9.98. This becomes the coefficient in scientific notation.
3. Count the decimal places moved: To get from the original number (0.0000000998) to 9.98, you have to move the decimal point 8 places to the right.
4. Determine the exponent: Because you moved the decimal point 8 places to the right, the exponent in scientific notation is -8. Negative exponents indicate that the original number was less than 1.
5. Combine into scientific notation: The scientific notation format is [tex]\(M \cdot 10^n\)[/tex], where [tex]\(M\)[/tex] is the number between 1 and 10, and [tex]\(n\)[/tex] is an integer. Based on our steps:
- The number (coefficient) is 9.98.
- The exponent is -8.
Therefore, the number 0.0000000998 expressed in scientific notation is [tex]\(9.98 \cdot 10^{-8}\)[/tex].
So, the correct choice is D. [tex]\(9.98 \cdot 10^{-8}\)[/tex].
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