FTCE Professional Education Practice Exam

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How is the number 46,368,000 expressed in scientific notation?

4.6368 x 10^6
46.368 x 10^5
4.6368 x 10^7
46.368 x 10^6

The correct answer is: 4.6368 x 10^7

To express a number in scientific notation, it must be written in the form of a product of a coefficient and a power of ten, where the coefficient is typically a number greater than or equal to 1 and less than 10. For the number 46,368,000, the objective is to rewrite it so that the coefficient is between 1 and 10. In this case, moving the decimal point two places to the left gives us 4.6368. Thus, we have: 4.6368. Next, we must determine how many places we moved the decimal to arrive at this coefficient. Since we moved the decimal point two places to the left, we multiply by 10 raised to the power of the number of movements, which is 7 in this instance (because moving the decimal to the left reduces the power of ten). So, the scientific notation for 46,368,000 becomes: 4.6368 x 10^7. This aligns with the correct answer. The other options either misplace the decimal point or miscalculate the power of ten, thus falling outside the standard format of scientific notation.