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The unit represents a quantity of the dimension. Now of course you must be in the same dimension, first - you cannot add a square foot (area) to a foot (length), for example.

Named units are not limited to measurements like length, volume, time, etc. Here's an example that may be helpful. You have a carton with 1 dozen eggs, and 1 extra egg. Everything is eggs (the dimension). But if you say you have 1 + 1 = 2. Then 2 what? 2 eggs or 2 dozen eggs (24). How about you have a quarter and a dime. You have 2 coins, but what is the value? Is it the same value as 2 pennies? No. You must convert them to a common unit (cents for example). Then you have 25 cents + 10 cents = 35 cents.

In the same way, if you measure 1 inch + 1 centimeter, how long is the measurement: it's not 2 (well of either of those units, anyway). You can convert the 1 inch to 2.54 centimeters, then add it to the 1 centimeter, to arrive at 3.54 centimeters. Or you could convert the 1 centimeter to inches, if you want. So the thing to remember here: The centimeter, inch and cent all represent some quantity or value of measurement.

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Q: Why cant you add two numbers that have the same dimensions whereas you can add two that have the same unit explain why and give example?
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