Final Answer:
Express the given numbers in scientific notation, where the coefficient is between 1 and 10, and the exponent indicates the decimal's movement. For example, 0.760 becomes 7.60 * 10^(-1). This notation simplifies the representation of large and small numbers.
(a) 0.760 in scientific notation is 7.60 * 10^(-1).
(b) 0.00025 in scientific notation is 2.50 * 10^(-4).
(c) 0.000000597 in scientific notation is 5.97 * 10^(-7).
Step-by-step explanation:
Expressing numbers in scientific notation involves representing them as a product of a coefficient and a power of 10. In the given numbers:
(a) 0.760 is written as 7.60 * 10^(-1), where 7.60 is the coefficient obtained by moving the decimal point one place to the right, and (-1) is the exponent since we moved the decimal one place to the left.
(b) 0.00025 becomes 2.50 * 10^(-4), with the decimal point moved four places to the right, resulting in a coefficient of (2.50) and an exponent of (-4)
(c) 0.000000597 is expressed as 5.97 * 10^(-7), with the decimal point moved seven places to the right, leading to a coefficient of 5.97 and an exponent of (-7).
In scientific notation, the coefficient is always a number greater than or equal to 1 and less than 10, and the exponent indicates the number of places the decimal point was moved. This form simplifies the representation of both very large and very small numbers.