to get a unit
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Example. (meters to millimeters) There are more millimeters in a metre(1000 to be precise) Therefore you multiply by 1000 to get from metres to millimeters That is wrong we don't want an example You have multiply because the larger unit has to broken down into plenty of smaller measurements or units. When you do that the number is multiplied into many smaller units.
divide
because you have to multiply to break it down into a smaller number
conversion factor
When changing from a larger unit to a smaller unit, there will be more of them, so you will multiply.