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6 August, 04:51

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.

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  1. 6 August, 06:46
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    To answer this question let us first define what a rational and irrational number is. A rational number is basically a number whose decimals are terminating (ie have an end) or repeating (continuously repeats the same pattern.

    An example of this from your question would be

    5.3 - terminating rational number

    5.333333333333 ... - repeating rational number

    Irrational numbers are basically numbers whose decimals are non terminating and non repeating.

    An example would be the square root of 29. When plugged in a calculator this would result in 5.3851648071 ...

    This number goes on and on with no set pattern.
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