Rounding 0.45: To Round Up or Down?

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When rounding 0.45 to the nearest whole number, the correct approach is to round down to 0. This is because 0.45 is closer to 0 than to 1, as 0 is 0.45 away and 1 is 0.55 away from 0.45. The confusion often arises from how to interpret the decimal point, but for whole number rounding, the first decimal is the key factor. Therefore, rounding 0.45 results in 0. Understanding this principle clarifies the rounding process.
em370
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I feel very pathetic for asking this but if you have to round 0.45 to the nearest whole number do you take the 5 into account as it would round the 4 to 5 and round to 1 or just base the rounding off the first decimal.
 
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No. If you are rounding to the nearest whole number you round to 0 because 0 is .45 away from .45 and 1 is .55 away from .45.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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