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Find a rational number and also an irrational number lying between the numbers 0.3030030003 ... and 0.3010010001 ... |
Answer» Let, a = 0.3010010001 And, b = 0.3030030003... We observe that in the third decimal place a has digit 1 and b has digit 3, therefore a < b . in the third decimal place a has digit 1. so, if we consider rational and irrational numbers x = 0.302 y = 0.302002000200002..... We find that a < x < b And, a < y < b Hence, x and y are required rational and irrational numbers respectively. |
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