Final answer:
The quotient of 3.069 x 10⁶ and 4.95 x 10² in scientific notation is 0.6198 x 10⁴.
Step-by-step explanation:
To find the quotient of 3.069 x 10⁶ and 4.95 x 10² in scientific notation, we divide the two numbers and combine the powers of 10:
3.069 x 10⁶ ÷ 4.95 x 10² = (3.069 ÷ 4.95) x (10⁶ ÷ 10²)
= 0.6198 x 10⁴
So, the quotient is 0.6198 x 10⁴.
Scientific notation is a shorthand method of expressing very large or very small numbers in a concise and standardized form. It is written as the product of a coefficient and a power of 10. In this notation, the coefficient is a decimal number greater than or equal to 1 and less than 10, and the power of 10 indicates the scale of the number. This format simplifies the representation of numbers with many zeros, making it easier to handle and comprehend in mathematical and scientific contexts, facilitating calculations and comparisons across a wide range of values