Final answer:
The largest possible population of Finland in 2017, when rounded to the nearest 1000, is 5,503,999 and the smallest possible is 5,502,500. Two possible values of the population when rounded to 5 significant figures could be 5,502,951 or 5,503,049.
Step-by-step explanation:
To determine the largest and smallest possible values of the population of Finland in 2017 if the value has been rounded to the nearest 1000, we follow a simple rounding rule. A number that is rounded to the nearest 1000 could have been any value that, when rounded, would give the reported number.
The largest possible value would be just under the next thousand, so in this case just under 5,504,000. The smallest possible value would be the reported number minus 500, since that is halfway to the next lower thousand. Hence, the smallest possible value would be 5,502,500.
I. The largest possible value of the population of Finland in 2017, rounded to the nearest 1000, is 5,503,999.
II. The smallest possible value of the population of Finland in 2017, rounded to the nearest 1000, is 5,502,500.
For part (b), when rounded to 5 significant figures, the given value of 5,503,000 could have a range of possible true values. Two such values might be 5,502,951 or 5,503,049, which when rounded to five significant figures would both yield 5,503,000.