Questions: If your calculator displays 1.5685435 E -4, how would you round that to 4 decimal places? A. 0.0002 B. 0.0016 C. 1.569 D. 0.0015 If your calculator displays 6.28908 E - 8 , how would you round that to 4 decimal places? A. 0.0006 B. 6.2891 C. 0.0000 or 0 D. 0.0062 If your calculator displays 6.28908 E-5, how would you round that 3 significant digits? A. 0.0000629 B. 0.000 or 0 C. 6.289 D. 0.000006289

Solution Steps

To solve these problems, we need to convert the scientific notation to a decimal number and then round it to the specified number of decimal places or significant digits.

1. Convert the scientific notation to a decimal number.
2. Round the number to the required decimal places or significant digits.
3. Compare the result with the given options.

1. First Problem: The number \(1.5685435 \times 10^{-4}\) is equivalent to \(0.00015685435\).
2. Second Problem: The number \(6.28908 \times 10^{-8}\) is equivalent to \(0.0000000628908\).
3. Third Problem: The number \(6.28908 \times 10^{-5}\) is equivalent to \(0.0000628908\).

1. First Problem: Round \(0.00015685435\) to 4 decimal places: \[ 0.00015685435 \approx 0.0002 \]

2. Second Problem: Round \(0.0000000628908\) to 4 decimal places: \[ 0.0000000628908 \approx 0.0000 \]

3. Third Problem: Round \(0.0000628908\) to 3 significant digits: \[ 0.0000628908 \approx 0.0000629 \]

Final Answer