Questions: Express the following "generic number" in scientific notation. 0.0000 × XX XX × 10^-4 XXX × 10^-7 X.XX × 10^-5 X.XX × 10^5 The number 6730.0 contains five significant figures. True False

Solution Steps

To express a number in scientific notation, we need to move the decimal point to the right of the first non-zero digit and count the number of places moved. This count becomes the exponent of 10.

To determine the number of significant figures in a number, we count all the digits starting from the first non-zero digit on the left to the last digit on the right, including zeros if they are between significant digits or after the decimal point.

To express a number in scientific notation, we need to move the decimal point to the right of the first non-zero digit and count the number of places moved. This count becomes the exponent of 10.

Given the number \(0.0000\), we move the decimal point to the right of the first non-zero digit. Since there are no non-zero digits, the scientific notation is \(0.00 \times 10^2\).

To determine the number of significant figures in a number, we count all the digits starting from the first non-zero digit on the left to the last digit on the right, including zeros if they are between significant digits or after the decimal point.

For the number \(6730.0\):

• The digits are \(6, 7, 3, 0, 0\).
• All these digits are significant because the trailing zero after the decimal point is significant.

Thus, the number \(6730.0\) contains 5 significant figures.

Final Answer