What is 3.47 × 10 to the negative fourth power equal to?

To understand why 3.47 multiplied by 10 to the negative fourth power equals 0.000347, it's important to grasp the concept of scientific notation. In scientific notation, a number is expressed in the form of a product of a coefficient and a power of ten. In this case, the coefficient is 3.47, and the power of ten is negative.

When dealing with a negative exponent, such as 10 to the negative fourth power, you can interpret this as moving the decimal point to the left. Specifically, 10 to the negative fourth power indicates that the decimal place should move four positions to the left from the original number.

Starting with 3.47, if we move the decimal point four places to the left, we proceed as follows:

1. Move one place: 0.347

2. Move two places: 0.0347

3. Move three places: 0.00347

4. Move four places: 0.000347

Thus, moving the decimal four places to the left from 3.47 results in 0.000347, which aligns with the correct answer.

This understanding of manipulating decimal places through the use of negative exponents is crucial