已知a=0.000...025是100个0,b=0.000...04也是100个0,求a×b

已知a=0.000...025是100个0,b=0.000...04也是100个0,求a×b
已知a=0.000...025是100个0,b=0.000...04也是100个0,求a×b

已知a=0.000...025是100个0,b=0.000...04也是100个0,求a×b
a=0.000...025是100个0,即a=0.25*10(-99)
b=0.000...04也是100个0,即b=0.4*10(-99)
因此a*b=0.25*10(-99) * 0.4*10(-99)
=0.1*10(-198)

a×b
= 25*10^(-102)*4*10(-101)
=100*10(-203)
=1*10(-201)

0.0000.......100是1000000零