1) Find 100 irrational numbers between 0 and 1/100. 2) Find 50 rational numbers betwee 1 and 2. 3) Find 50 irrational numbers betwee 1 and 2.

UkusakazaL 2021-02-26 Answered
1) Find 100 irrational numbers between 0 and 1100.
2) Find 50 rational numbers betwee 1 and 2.
3) Find 50 irrational numbers betwee 1 and 2.
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Expert Answer

Cristiano Sears
Answered 2021-02-27 Author has 96 answers

1) We know 2 So, 0<e1000<1100ase<3<10
So, 0<e103<1100
Define , 0<e10103<e10102<e10101<..<e105<..<e103<1100
Hence e10i,
3i103 are the irrational numbers between 01100.
2) Clearly we know that 0<110<1 then 1<1+110<2
Also, 0<1102<1, then 1<1+1102<2
So, 1+110,1+1102,1+1103,.,1+11050 are rational numbers between 1 and 2.
They are rational numbers because they are sum of rational number.
3) We know that e,e2,e3,.,e50 all are irrational numbers .
So, 1<1+1e<2
For 1i50,1<1+1ei<2
sum of one rational number and one irrational number is again a irrational number.
So , 1+1e, 1+1e2, 1+1e3,,1+11e50 are 50 irrational numbers between 1 and 2.

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