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.

An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.

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joaobezerra joaobezerra · Answer 2 · 2021-08-19T15:31:28+02:00

Using the numbers sets, it is found that an example of an irrational number is 5.3439232320393923930932..., as it has an infinite number of decimal digits without a pattern, and rounded to the nearest hundredth, it is 5.34.

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Whole numbers: Also called natural, set of numbers including all positive numbers and 0, so: {0,1,2,...}

Integer numbers: Number without decimals, that can be positive of negative, so: {...,-2,-1,0,1,2,....}

Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern).

Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339.

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Irrational, thus numbers with an infinite number of decimal digits, without a pattern, for example:

5.3439232320393923930932

Rounded to the nearest hundredth, that is, two places, 5.34, as 3, which is the thousandths digit is less than 5.

A similar problem is given at https://brainly.com/question/17246735