To determine if the number 52.781654292 is irrational, we should first understand what an irrational number is. An irrational number cannot be expressed as a fraction of two integers; in other words, it cannot be written in the form \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).
The number 52.781654292 is a decimal that appears to terminate (it has a finite number of digits after the decimal point). Any finite decimal can be expressed as a fraction. For example, 52.781654292 can be represented as \( \frac{52781654292}{1000000000} \).
Since it can be expressed as a fraction of two integers, 52.781654292 is not an irrational number; it is a rational number.
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