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Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational.Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.

Answer»

Answer:

PART A

Rational number : The numbers which can be written in the FORM of p/q are known as rational numbers

5.4 = 54/10 = 27/5 (It can be written in the form of p/q)

The rational number between 5.2 and 5.5 is 5.4

Part B

Irrational number : The numbers which cannot be written in the form of p/q are known irrational numbers

The irrational number between 5.2 and 5.5 is √29 whose value is 5.385164807134

On rounding off to nearest hundredth we GET 5.385

The irrational number between 5.2 and 5.5 is 5.385

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