spot, point, mark, speck, decimal point
点 centers on a small, precise location or mark: a spot, a point in space or argument, a speck, or the decimal point that separates whole from fractional parts.
dot; spot; point; speck; mark
point in time; occasion
point of view; viewpoint; angle; perspective
base (of operations); site; location; center; foothold; stronghold; (strategic) position
scoring; score; points made; marks obtained; goals; runs
spot; point; place; position
point of view; viewpoint; standpoint; perspective; angle
marks; points; score; grade; runs (baseball)
perfect score; full marks
crossing; intersection
weak point; weakness; shortcoming; defect; flaw; sore spot; tender spot
fault; defect; flaw; weak point; weakness; shortcoming; drawback
present point (i.e. in history); at the present time
lost point (in a game); point given away; conceded goal
advantage; point in favor; point in favour
focus; focal point
detailed inspection; thorough examination; checking
starting point; origin; beginning
vertex; apex
point of tangency; point of contact
same score; deadlock; tie; draw
important point; emphasis; stress; importance; priority
marking; grading; scoring
raindrops; falling drop of water
点 is the modern simplified form of 點. The older form combines 黑 (black) with 占 (to occupy), suggesting a small black mark or dot. The modern form retains 占 and replaces 黑 with the fire radical 灬, which is a common simplification pattern.
The top 占 looks like a fortune-telling slip, and the bottom 灬 is fire. Imagine a fortune slip marked with a tiny burn spot: that spot is the point of the message.
For テン, picture ten tiny spots arranged in a perfect decimal point: ten -> テン, and each spot marks a point.