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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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