Why are there so many decimals in the difference between matrices？

[#1]

names default to here(1);
a=[5.0443 5.0565 5.0498 5.0856 5.051 4.9921 5.0346 5.0265 5.0356 4.9521 5.0361 5.0444
5.0442 5.0741 4.9872 5.0361 5.0464 5.0291 4.9869 5.0011 5.036 5.0012 5.0562 5.0456
5.0415 4.9914 5.0389 5.015 5.0722 5.0151 5.0471 5.0445,
0.0023 0.0007 -0.02 0.0245 0.017 0.011 0.0557 0.0618 0.028 -0.0049 0.0661 0.0243
0.0454 0.0151 -0.0022 0.0423 0.0205 0.0285 0.0279 0.021 0.0277 -0.0036 0.0125 0.0086
0.0416 -0.004 -0.0141 0.0276 0.0055 0.0286 -0.0197 0.0119];
b=[5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05
5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05 5.05,
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0];
a-b

//result
[-0.00570000000000004 0.00649999999999995 -0.000199999999999534 0.0356000000000005
0.00100000000000033 -0.0579000000000001 -0.0153999999999996 -0.0234999999999994
-0.0144000000000002 -0.0979000000000001 -0.0138999999999996 -0.00559999999999938
-0.00579999999999981 0.0240999999999998 -0.0628000000000002 -0.0138999999999996
-0.0035999999999996 -0.0209000000000001 -0.0630999999999995 -0.0488999999999997
-0.0140000000000002 -0.0488 0.00619999999999976 -0.00439999999999952
-0.00849999999999973 -0.0586000000000002 -0.0110999999999999 -0.0350000000000001
0.0221999999999998 -0.0348999999999995 -0.00289999999999946 -0.00549999999999962,
0.0023 0.0007 -0.02 0.0245 0.017 0.011 0.0557 0.0618 0.028 -0.0049 0.0661 0.0243
0.0454 0.0151 -0.0022 0.0423 0.0205 0.0285 0.0279 0.021 0.0277 -0.0036 0.0125 0.0086
0.0416 -0.004 -0.0141 0.0276 0.0055 0.0286 -0.0197 0.0119]

Why are there so many decimals in this result？thanks！

[#2 · Accepted solution]

The short answer is that by default, JMP numeric values are stored as floating point values. Some values can not be exactly specified in floating point notation.  If you take the first value in the A matrix, 5.0443, as a floating point value it is stored as: 5.04429999999999978.  Therefore, what you are seeing in the result matrix are the precision required to show the most accurate values for the calculation.  

[#3 · Accepted solution]

https://0.30000000000000004.com/