QUESTION IMAGE
Question
is 57.4 an irrational number? yes no
Step 1: Recall the definition of irrational numbers
Irrational numbers are numbers that cannot be expressed as a fraction \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q
eq0\). Rational numbers, on the other hand, can be expressed in this form.
Step 2: Analyze the number 57.4
We can write \(57.4\) as a fraction. \(57.4=\frac{574}{10}\), and we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (which is 2 in this case). So, \(\frac{574\div2}{10\div2}=\frac{287}{5}\), where \(287\) and \(5\) are integers and \(5
eq0\). Since \(57.4\) can be expressed as a fraction of two integers, it is a rational number, not an irrational number.
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no