What is the scientific notation of the number 0.000347?

The scientific notation of a number involves expressing it in the form of a coefficient multiplied by 10 raised to a power. For the number 0.000347, we need to reposition the decimal point to create a number between 1 and 10.

To convert 0.000347 into scientific notation, we move the decimal point three places to the right, transforming it into 3.47. Since we moved the decimal point to the right, we denote this movement with a negative exponent. Specifically, we denote the power of ten with a negative sign to indicate that our coefficient (3.47) is less than one.

Therefore, the correct formulation is 3.47 multiplied by 10 raised to the negative fourth power, which accurately reflects the original number's magnitude and position. This illustrates that the decimal is three places before the first significant digit of the number 3.47, resulting in the correct scientific notation being 3.47 x 10 to the negative fourth power.