Answered

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Which of the following are exact numbers? (Check all that apply.)
1000 meters in one kilometer.
The diameter of a coin, 10.2756mm (millimeters)
A dozen eggs.
16 ounces in 1 pound.
The length of a pen, 12mm (millimeters)

Sagot :

whitneytr12

For the given options we found that the following are examples of exact numbers:

  • 1000 meters in one kilometer is an exact number
  • A dozen eggs is an exact number.
  • 16 ounces in 1 pound is an exact number.

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!  

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