Final answer:
To rewrite given times in seconds using metric prefixes, we converted the values into a range between one and one thousand. For example, 9.57×10⁵s was rewritten as 957 ks, 0.045 s as 45 ms, 5.5×10⁻⁷s as 0.55 μm, and 3.16×10⁷s as 31.6 Ms.
Step-by-step explanation:
The question involves using metric prefixes to rewrite given times in seconds such that the numerical value is between one and one thousand. Metric prefixes represent powers of ten, and they are commonly used in physics to simplify numbers by converting them into a more manageable format. Let's convert the provided times using appropriate metric prefixes:
- (a) 9.57×10⁵s: This is 957,000 seconds. Converting this to kiloseconds, we have 957 ks since 1 ks = 1,000 s.
- (b) 0.045 s: This is 45 milliseconds (ms) because 1 ms = 0.001 s.
- (c) 5.5×10⁻⁷s: This corresponds to 0.55 microseconds (μm), as 1 μm = 0.000001 s (10⁻⁶ s).
- (d) 3.16×10⁷s: Converting this large number, we get 31.6 megaseconds (Ms) since 1 Ms = 1,000,000 s.
To rewrite the given times using metric prefixes, we need to convert them to a numerical value greater than one but less than 1000.
(a) 9.57 x 10^5 s can be written as 957 ks (kiloseconds).
(b) 0.045 s can be written as 45 ms (milliseconds).
(c) 5.5 x 10^-7 s can be written as 550 ns (nanoseconds).
(d) 3.16 x 10^7 s can be written as 31.6 Ms (megaseconds).
Thus, we have effectively used metric prefixes to express each time interval in a more compact and readable format.