Final answer:
The notation overline abc defines a number that contains a hundreds, b tens, and c units. This number can be written as the polynomial 100a + 10b + c. Scientific notation is a way to express very large or very small numbers using powers of 10. In scientific notation, the first nonzero digit is written, followed by a decimal point and the rest of the digits. The part of the number that is multiplied by a power of 10 is called the coefficient.
Step-by-step explanation:
The notation overline abc defines a number that contains a hundreds, b tens, and c units. This number can be written as the polynomial 100a + 10b + c.
Scientific notation is a way to express very large or very small numbers using powers of 10. When expressing a number in scientific notation, the first nonzero digit is written, followed by a decimal point and the rest of the digits. The part of the number that is multiplied by a power of 10 is called the coefficient.
In the given example, to write 79,345 in scientific notation, we need to determine the power of 10 needed to make that number into the original number. The coefficient would be 7.9345, and we multiply it by 10^4, resulting in 7.9345 x 10^4.