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?

Answer 1

Oh, dude, it's like trying to mix oil and water - they just don't go together! When you're adding numbers, they have to have the same units to make sense. It's like trying to add apples and Oranges - sure, they're both fruits, but you can't just mush them together and call it one fruit salad. So, for example, you can add 5 meters + 3 meters to get 8 meters, but you can't add 5 meters + 3 seconds and expect a meaningful answer.

Answer 2

You cannot add two numbers with the same dimensions because they represent quantities in the same unit and cannot be combined directly. For example, you cannot add 5 meters to 3 meters because they are both measurements of length. However, you can add two numbers with the same unit if they represent different quantities, such as adding 5 meters of length to 3 seconds of time to get a total quantity of 5 meters + 3 seconds.

Answer 3

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.

Answer 4

You cannot add two numbers with the same dimensions (such as 5 meters + 7 meters) because dimensions represent different units of measurement, making them incompatible for direct addition. However, you can add two numbers with the same unit (such as 5 meters + 7 feet) by converting one of the values to match the unit of the other value (in this case, converting feet to meters or meters to feet) before adding them together.