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As measures all around the world can differ widely, it is important to standardise them. Hence the invention of SI units.

If I were asked to measure a vital piece of wood in a new house design in the UK and gave the answer 1 1/2, someone in the US might well assume that that measurement was 1 1/2 feet when in fact I was talking about 1 1/2 metres. Wood too small and not strong enough for the job. House falls down and builder ends up in court and looses business. His family end up homeless etc, etc.!!!

So it is important to give units in all measurements not just lengths then all walks of life can speak a common language no matter where they live.

Q: Why must a unit be included with a measurement?

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It must be the unit of the measurement that you are converting FROM.

It is the unit of the measurement which you are converting FROM.

In a fraction they must be in the same units. In a ratio they need not be.

It is the units for the measurement which you are converting FROM.

No, a pencil is not a unit of measurement.

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It must be the unit of the measurement that you are converting FROM.

The unit of measurement

The value of the measurement and the units used.

It is the unit of the measurement which you are converting FROM.

Its units and something...

a number and a unit

the unit of mesurement

the unit of mesurement

In a fraction they must be in the same units. In a ratio they need not be.

A unit of measurement, a number indicating the quantity, and a scale or reference to provide context.

The measurement units and the degree of precision (significant figures or margin of error).

It is the units for the measurement which you are converting FROM.