To determine which number produces a rational number when multiplied by \(0.25\), we should first know that a rational number is any number that can be expressed as the quotient of two integers (i.e., a fraction \( \frac{a}{b} \) where both \(a\) and \(b\) are integers and \(b \neq 0\)).
Now, let's evaluate each option:
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0.45: This is a terminating decimal, which is a rational number. Thus, multiplying it by \(0.25\) will result in a rational number.
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\(\pi\): This is an irrational number. Multiplying it by \(0.25\) will still yield an irrational number.
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-\(\frac{15}{1}\): This is a rational number. Thus, multiplying it by \(0.25\) will produce a rational number.
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0.54713218...: This is a non-terminating decimal. Since it does not repeat, it is also irrational. Multiplying it by \(0.25\) will still produce an irrational number.
Based on this analysis, the choices that would produce a rational number when multiplied by \(0.25\) are:
- 0.45 (choice 1)
- -\(\frac{15}{1}\) (choice 3)
However, if you are limited to a single answer and given the usual context of these types of questions, then 0.45 is often the most straightforward answer (as it is given in decimal form).
3 answers