Question

find two rational numbers between 0.12 and 0.13 with explanation​

Answer 1

Answer:

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Let a = 0.12 and b = 0.13. Clearly, a and b are rational numbers. We observe the numbers a and b: a and b have 1 in the first place of decimal, but in the second place of decimal a has 2 and b has 3. ... Clearly, c and d are irrational numbers such that a < c < d < b.

Answer 2

Answer:

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to find 2 rational numbers between 0.12 and 0.13

• 0.12 means $\frac{12}{100}$ = $\frac{120}{1000}$

• 0.13 means $\frac{13}{100}$ = $\frac{130}{1000}$

The 2 rational numbers between 0.12 and 0.13 are

$\frac{121}{1000}$ = 0.121

$\frac{122}{1000}$ = 0.122