Converting everything to the same units beforehand saves confusion. It prevents a moment where you need to stop and think, "Was that in feet or inches?"
No.
If you wish to compare their respective weights then it is important to use the same units
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It enables us to measure things.
The same units as mass, for objects in the same gravitational reference frame.
It is useless to measure anything in arbitrary units.
Units that are not the same. For example, metre, square centimetre and Newton. A metre is a measure of distance, a square centimetre is a measure of area, a Newton is a measure of force.
Standardized units of measure are important to engineering because if everyone was using different measurement systems, dimensions of different objects and inventions wouldn't be converted correctly from the inventor to other inventors or manufacturers. (Had to be fixed because who ever wrote the originally answer was a a$$ hole)
They are all metric units of measure.
if you measure a crayon with inches is not the same as measuring with feet.
For ease of understanding and worldwide/industry wide usage.
In a ratio of measurements for the same kinds of units, units get canceled. For example, in a ratio of 3 meters / 8 meters, you can cancel the "meters" in the numerator and the denominator. An important ratio is pi, which is the ratio of the circumference of a circle to its diameter. If you measure the circumference in feet, and the diameter in feet, then divide circumference/diameter, then the result is the dimensionless quantity 3.14159265.... If you go back and measure both in meters, you get the same answer.In a ratio of two measurements, the units cancel, so it makes no difference whether you write the units, or not.