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: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)

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. (3 points)

Sagot :

Answer:

A rational number: 5.4, which also can be written as 27/5

Irrational number:

sqroot 28

approx= 5.29

Step-by-step explanation:

5.4 is a rational number because it is a terminating decimal. That means it ends after the 4, there are no more numbers. Also it can be written as a ratio (looks like a fraction) 27/5.

Sqroot28 is irrational. Since 28 is not a perfect square, when you squareroot it you get a number with a neverending decimal

sqroot28 = 5.2915026221...

since the decimal does not repeat or end it cannot be written as a ratio, so it is not rational

sqroot28 ~= 5.29

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