What is the number 6 \times 10^{-8} written in standard decimal notation?

• A. 0.00006
• B. 0.0000006
• C. 0.000006
• D. 0.00000006

Answer: (D)

Verified step by step guidance

1. Understand that the number is given in scientific notation as \$6 \times 10^{-8}\(, where 6 is the coefficient and \)10^{-8}$ indicates the decimal point moves 8 places to the left.
2. Start with the number 6 and move the decimal point 8 places to the left to convert from scientific notation to standard decimal notation.
3. Since 6 is a single-digit number, add zeros to the left of 6 to account for the 8 decimal places movement, remembering that the decimal point is placed before these zeros.
4. Write the number with the decimal point followed by 7 zeros and then the digit 6, because moving 8 places left means one zero is before the 6 and the rest fill the places after the decimal.
5. Verify the final number has 8 digits after the decimal point, confirming the correct standard decimal notation for \$6 \times 10^{-8}$.