10 Ft

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Why does 10 ft x .083 ft and 120 in x 1 in equal different sums when they are conversions of each other?

Why does (10 ft x .083 ft = 0.0771095232 m^2) and (120 in x 1 in = 0.0774192 m2) equal different sums? 120 inches is 10 feet and .083 ft is 1 inch. Obviously it's because anything multiplied by 1 is itself, there has to be a proper way to convert it without running into this problem.
I know I'm making a mistake here somewhere but I don't know where. I'm describing the same amount of space just in different units. I've always had trouble with this and I'd love to clear it up.

One twelfth of a foot is 0.08333... (a repeating decimal).

By rounding that to just the thousandths digit, you're introducing an error into the calculation. The more digits you include in the number, the closer the result will be to the 120 square inch "correct" result. (The conversion to square meters may be introducing an additional error if the conversion factor is also a rounded value.)

Find 10 Ft On eBay Below:

IM 7 4Pc 7wt 10ft nymphing fly rod dark translucent green by Roger
IM 7 4Pc 7wt 10ft nymphing fly rod dark translucent green by Roger
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IM 7 4Pc 10wt 9ft saltwater fly rod deep dark translucent blue by Roger
IM 7 4Pc 10wt 9ft saltwater fly rod deep dark translucent blue by Roger
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St Croix Fly Rod Imperial 10ft 8 Line GREAT NEW
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9ft 11 12wt IM10 Fast Action Saltwater Fly Rod Rod Tube+Rod Sock
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Fly Rod 3 4 5 8WT Carbon Fiber Graphite IM10 Fly Fishing Rod Cordura Rod Tube
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5 6 7 8wt 9ft Sensing Traveler Fly Fishing Rod 7pcs Medium fast IM10 Carbon
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V Traveler Fly Fishing Rod 4 5 6 7 8 9wt 9ft 7pcs IM10 Carbon fiber W Rod Tube
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11ft 3wt 5 section IM 10 Mid Flex Nymph Fly Rod with rod tube and rod sock
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Alltime Fly Fishing Rod Traveller 5 6 8wt 8 Piece 9ft IM10 Carbon Blank W Tube
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Sage ESN 10 Ft 2 Weight Fly Rod
Sage ESN 10 Ft 2 Weight Fly Rod
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Maxcatch Pro Fly Fishing Rod 4 5 6 8wt 9ft Fast Action IM10 Carbon Blank W Tube
Maxcatch Pro Fly Fishing Rod 4 5 6 8wt 9ft Fast Action IM10 Carbon Blank W Tube
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V Pro Fly Fishing Rod 4 5 6 8wt 9ft Fast Action IM10 Carbon Blank W Rod Tube
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Davis Big Game Saltwater Fly Rod 1 Handle 9 10 Wt 9 ft Long set of 3
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Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case P041
Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case P041
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Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case P041
Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case P041
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P046 Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case
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P041 Flying Fisherman Passport Spinning Rod 7ft 10 17lb w Case
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Nymph Fly Fishing Rod 10Ft Graphite Carbon Fiber Material 4 PCS Portable
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Sage Motive 10 wt 9 ft 4 piece saltwater fly rod Used Good Condition
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Aventik IM12 Nano Nymph Fly Rod 3 4wt 10ft 4Piece Fast Action Fly Fishing Rods
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Temple Fork BVK Fly Rod 3 wt10ft 2pc Conversion Kit
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