Final answer:
To express 36,000,102 in scientific notation, move the decimal point 7 places to the left and write the coefficient as 3.6000102. The power of 10 is 7, so the scientific notation is 3.6000102 × 10^7.
Step-by-step explanation:
Scientific notation is a way to express very large or very small numbers in a concise form. In scientific notation, a number is written as the product of a coefficient and a power of 10. To express 36,000,102 in scientific notation, we first count the number of places we need to move the decimal point to get the number between 1 and 10. In this case, we need to move the decimal point 7 places to the left. The coefficient is obtained by removing the trailing zeros, so it becomes 3.6000102. The power of 10 is 7 since we moved the decimal point 7 places to the left. Therefore, 36,000,102 in scientific notation is written as 3.6000102 × 10 7.