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EzraThe sets of rational and of real numbers are infinitely dense. This means that there are infinitely many numbers between any two numbers. So, if you claim that x is closest to 100 then there are infinitely many numbers between x and 100. Each one of these will be closer to 100 so x cannot be the closest. An example of the intermediate value is (100 + x)/2.
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What is the closest whole number to 100?
100 itself.
What is 6799 rounded to the nearest 100?
6800
What is 97 rounded to the nearest 100?
100
Which number is closest to the square root of 240?
The square root of 240 is irrational; the closest number depends upon how many decimal places you want. If you want the closest whole number then: √240 = 15.49193... → closest whole number is 15.
What is the order of magnitude of 500?
The order of magnitude of a number is the power of 10 closest to the number. In the case of 500, the number is between 10^2 (100) and 10^3 (1000). Therefore, the order of magnitude of 500 is 10^2 or 100.
