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Yes. A meter is a unit of length (1 dimension), a square meter is a unit of area (2 dimensions).
Math dimensions determine the type of geometric object you are dealing with. 0 dimensions is a point, an object with no height, width, or depth. We draw points only to mark the loaction of the point. 1 dimension is the line, which has length but no width or depth. lines go on never ending in both directions, represented by the arrows on both sides. Rays are 1 dimension objects that never end only on one side. Line segments are 1 dimension objects that end on both sides. 2 dimension objacts are basic figures, and 3 dimension objects are complex figures like cubes, pryamids, etc.
A pound has a dimension of mass or [M] while a milileter has a dimension of volume, and thus, it would be illogical and impossible to convert between the two.
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The difference in place is 1/20.