Real, rational, integer, irrational definition

Real, rational, integer, irrational definition

Integer:...,-2,-1,0,1,2[ see if you learn negative numbers] Including positive integer, negative integer, also include zero natural number:1,2,3. This doesn't include zero and no more {I did n' t include when I learned, it is said that later changed the textbook includes} rational number: including integer and finite decimal and infinite circular decimal. Including zero irrational number:...

Integer:...,-2,-1,0,1,2[ see if you learn negative numbers] Including positive integer, negative integer, also include zero natural number:1,2,3. This does not include zero and no longer number {I did not include, it is said that later changed the teaching materials include} rational number: including integer and finite decimal and infinite circular decimal. Including zero irrational number:...

2 To the 100th power minus 2 to the 99th power minus 2 to the 98th power minus 2 to the 2th power minus 2

2^100 - (2^99 + 2^98 + .+ 2^2 + 2)
=2^100-A
A=2^99+2^98+.+2^2+2----------------(1)
2A =2^100+2^99+2^98+.+2^3+4-------(2)
(2) - (1)
A =2^100-2
So original formula =2