Thank you for visiting Which choice correctly expresses the number below in scientific notation 0 0000000998 A tex 9 98 cdot 10 8 tex B tex 998 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, you need to follow these steps:
1. Identify the Significant Figures: The number 0.0000000998 has significant figures "998".
2. Place the Decimal Point: Place the decimal point after the first significant figure. This would turn "998" into "9.98".
3. Count the Decimal Places: Count how many places you need to move the decimal point to get from 0.0000000998 to 9.98. You move the decimal point 8 places to the right.
4. Determine the Exponent: Since you moved the decimal point 8 places to the right, the exponent will be negative. The scientific notation form will include [tex]\(10^{-8}\)[/tex].
Therefore, the correct choice that expresses 0.0000000998 in scientific notation is:
C. [tex]\(9.98 \cdot 10^{-8}\)[/tex]
1. Identify the Significant Figures: The number 0.0000000998 has significant figures "998".
2. Place the Decimal Point: Place the decimal point after the first significant figure. This would turn "998" into "9.98".
3. Count the Decimal Places: Count how many places you need to move the decimal point to get from 0.0000000998 to 9.98. You move the decimal point 8 places to the right.
4. Determine the Exponent: Since you moved the decimal point 8 places to the right, the exponent will be negative. The scientific notation form will include [tex]\(10^{-8}\)[/tex].
Therefore, the correct choice that expresses 0.0000000998 in scientific notation is:
C. [tex]\(9.98 \cdot 10^{-8}\)[/tex]
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