The number 500,000,000,000,000 in scientific notation is 5 × 10¹⁴, achieved by moving the decimal point 14 places to the left from the original number.
To express 500,000,000,000,000 in scientific notation, we begin by placing the decimal after the first nonzero digit, which is 5, and count the number of places the decimal has moved. We've moved the decimal 14 places to the left, which gives us 5 × 10¹⁴. Therefore, the correct representation of 500,000,000,000,000 in scientific notation is 5 × 10¹⁴.
So the answer is: The number 500,000,000,000,000 expressed in scientific notation is 5 × 10¹⁴.
Scientific notation is a way to express very large or very small numbers succinctly. It involves moving the decimal point to create a number between 1 and 10, and then indicating the number of places the decimal has moved by using a power of 10. In this case, starting from 500,000,000,000,000, we place the decimal after the first 5 and count how many places it has moved to the left, which is 14. The exponent is 14, reflecting the movement of the decimal point, and giving us a scientific notation representation of 5 × 10¹⁴.
So, scientific notation is a concise way to represent very large numbers, and 500,000,000,000,000 is written as 5 × 10¹⁴ in scientific notation.