Find a rational number and an irrational number that are between 7.7 and 7.9. Include the decimal approximation of the irrational number to the nearest hundredth. (two to three sentences)

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A rational number is a number that can be expressed as a ratio of 2 numbers.

78/10 = 39/5 = 0.78 represents a rational number between 7.7 and 7.9.

39/5

An irrational number is a number that can not be shown as a ratio of 2 numbers.

Let π*x = 7.8

Next,  x = 7.8/π = 2.483

Then 2.5*π = 7.854 lies between 7.7 and 7.9

7.85 (nearest hundredth) 

This number is approximately equal to 2.5π, so it is irrational because π is an irrational number.

The actual value of 2.5π is 7.8539816 ...

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