Question

Which of the following correctly expresses 0.000007913 g in scientific notation?

1) 7.913 × 10⁶ g
2) 7.913 × 10⁵ g
3) 7.913 × 10⁻⁵ g
4) 7.913 × 10⁻⁶ g
5) 7.913 × 10⁻⁹ g

Answer 1

To express 0.000007913 g in scientific notation, we move the decimal point 6 places to the right and have 7.913 × 10^-6 g.

Step-by-step explanation:

The given numerical value is 0.000007913 g. To express this in scientific notation, we need to move the decimal point to after the first non-zero digit and keep track of the number of places we moved it. In this case, the decimal point would be after the digit 7, so we would move it 6 places to the right. Therefore, the correct expression in scientific notation would be:

0.000007913 g = 7.913 × 10-6 g

So, option 4) 7.913 × 10-6 g is the correct expression in scientific notation for 0.000007913 g.