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For the given options we found that the following are examples of exact numbers:
To find which of the given examples are exact numbers, we need to recall its definition. In simple words, an exact number is a number that can be counted without uncertainties, usually is an integer one.
A number that is determined with uncertainties with a finite number of significant digits or thought an instrument is not an exact number (is a measured one).
Now, let's evaluate each option.
a) 1000 meters in one kilometer
This is an exact number because we know for certain that in 1 kilometer there are 1000 meters. All the conversion of units like meters to kilometers, grams to kilograms are examples of exact numbers.
b) The diameter of a coin, 10.2756 mm
This is not an exact number, because the diameter found has a finite number of significant digits, which means that the measurement has an uncertainty in the final decimal position. Also, this diameter was found with an instrument.
c) A dozen eggs
A dozen is a number that can be counted with certainty, so it is an exact number.
d) 16 ounces in 1 pound
This is like example "a". Since we know for sure that in 1 pound we have 16 ounces, this is an exact number.
e) The length of a pen, 12 mm
Although the number 12 mm is an integer, this is not an exact number because this dimension was measured. We do not know for sure that the dimension of a pencil is 12 mm, we can not count it.
Find more about exact numbers here: https://brainly.com/question/14741425?referrer=searchResults
I hope it helps you!