Answer:
The number in scientific notation is ![25,000,000,000,000=2.5\times 10^{13}](https://tex.z-dn.net/?f=25%2C000%2C000%2C000%2C000%3D2.5%5Ctimes%2010%5E%7B13%7D)
Step-by-step explanation:
Given : The approximate distance between our solar system and Alpha Centaur (the nearest star) is 25,000,000,000,000 miles.
To find : Express the number in scientific notation ?
Solution :
The scientific notation is defines ad writing a number into smaller way or writing in terms of powers of 10.
Number - 25,000,000,000,000
It has already 12 zeros and add one zero to place a decimal,
![25,000,000,000,000=25\times 10^{12}](https://tex.z-dn.net/?f=25%2C000%2C000%2C000%2C000%3D25%5Ctimes%2010%5E%7B12%7D)
![25,000,000,000,000=2.5\times 10^{13}](https://tex.z-dn.net/?f=25%2C000%2C000%2C000%2C000%3D2.5%5Ctimes%2010%5E%7B13%7D)
Therefore, the number in scientific notation is ![25,000,000,000,000=2.5\times 10^{13}](https://tex.z-dn.net/?f=25%2C000%2C000%2C000%2C000%3D2.5%5Ctimes%2010%5E%7B13%7D)