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Is 1.24282727 irrational or a rational number?

User Hoshouns
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Final answer:

The number 1.24282727 is a rational number because it can be written as a fraction. Calculators provide answers with many decimals, but those should be rounded according to the significant figures of the initial data.

Step-by-step explanation:

The number 1.24282727 is a rational number because it can be expressed as a fraction. A rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a denominator, where the denominator is not zero. In the case of 1.24282727, even if the decimal pattern is not immediately obvious, it can still be written as a fraction, hence it is rational.

When evaluating expressions with a calculator, it is important to consider the concept of significant figures. A calculator will display a number typically to many decimal places, but this might not represent the true precision of the input data. For example, when dividing 12.2 by 1.7, the calculator provides a lengthy decimal, but we must round this to match the precision of our initial data.

User Fabio Ferrari
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