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### Is the product of two rational numbers rational?

Yes, the product of two rational numbers is also rational. This is because when you multiply two rational numbers, the result can...

Yes, the product of two rational numbers is also rational. This is because when you multiply two rational numbers, the result can always be expressed as a ratio of two integers, which is the definition of a rational number. Therefore, the product of two rational numbers will always be rational.

### Is the product of rational numbers also a rational number?

Yes, the product of rational numbers is also a rational number. This is because when you multiply two rational numbers, the result...

Yes, the product of rational numbers is also a rational number. This is because when you multiply two rational numbers, the result can always be expressed as a fraction of two integers, where the denominator is not zero. Therefore, the product of rational numbers is always a rational number.

### Is man still rational?

Man is still rational to a certain extent, as humans have the ability to think critically, make decisions based on logic and reaso...

Man is still rational to a certain extent, as humans have the ability to think critically, make decisions based on logic and reason, and solve complex problems. However, emotions, biases, and external influences can sometimes cloud our judgment and lead to irrational behavior. It is important for individuals to be aware of these factors and strive to make rational decisions based on sound reasoning and evidence.

Keywords: Reasoning Emotions Technology Society Science Politics Ethics Behavior Environment Education

### What are rational functions?

Rational functions are functions that can be expressed as the ratio of two polynomials. They are defined for all real numbers exce...

Rational functions are functions that can be expressed as the ratio of two polynomials. They are defined for all real numbers except where the denominator polynomial is equal to zero. Rational functions can have vertical asymptotes where the denominator is zero, and horizontal asymptotes as x approaches positive or negative infinity. These functions can have a variety of shapes and behaviors depending on the degree of the numerator and denominator polynomials.

Keywords: Definition Polynomial Fraction Graph Asymptote Domain Range Vertical Horizontal Rational

### Are people considered rational?

People are generally considered to be rational to some extent, as they are capable of making logical decisions based on their beli...

People are generally considered to be rational to some extent, as they are capable of making logical decisions based on their beliefs, preferences, and available information. However, human behavior is also influenced by emotions, biases, and cognitive limitations, which can lead to irrational decision-making. While people strive to be rational, they are also subject to various psychological and social factors that can impact their ability to make purely rational choices. Overall, people can be rational in certain situations, but their decision-making is often influenced by a combination of rational and irrational factors.

### Are you rational thinkers?

As an AI, I am programmed to process information and make decisions based on logic and reasoning. My responses are generated using...

As an AI, I am programmed to process information and make decisions based on logic and reasoning. My responses are generated using algorithms and data analysis, which are designed to be rational and logical. However, it is important to note that my responses are based on the information available to me and may not always reflect the full complexity of human thought processes. Ultimately, the concept of rational thinking is subjective and can vary depending on individual perspectives and beliefs.

### What are broken rational functions?

Broken rational functions are rational functions that have been divided into smaller, simpler rational functions. This is done by...

Broken rational functions are rational functions that have been divided into smaller, simpler rational functions. This is done by factoring the numerator and denominator of the original rational function into simpler components. These simpler components are then expressed as separate fractions, creating a broken rational function. Broken rational functions are useful for simplifying complex rational functions and making them easier to analyze and work with.

Keywords: Broken Rational Functions Discontinuous Asymptotes Intercepts Graph Division Polynomial Complex

### What is a rational thinker?

A rational thinker is someone who approaches situations and problems logically, using reason and evidence to form their beliefs an...

A rational thinker is someone who approaches situations and problems logically, using reason and evidence to form their beliefs and make decisions. They are able to weigh different perspectives, consider various possibilities, and make sound judgments based on facts rather than emotions or biases. Rational thinkers are open-minded, willing to change their views in the face of new information, and are able to think critically about complex issues.

Keywords: Logic Reason Critical Analytical Objective Pragmatic Skeptical Thoughtful Judicious Balanced

### Is 483637474836386 a rational number?

Yes, 483637474836386 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator...

Yes, 483637474836386 is a rational number. A rational number is any number that can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero. In this case, 483637474836386 can be written as 483637474836386/1, which fits the definition of a rational number.

Keywords: 483637474836386 Rational Number Math Calculation Decimal Fraction Integer Real Analysis

### Can't have a rational discussion?

Having a rational discussion means engaging in a conversation based on reason, logic, and evidence. If someone says "can't have a...

Having a rational discussion means engaging in a conversation based on reason, logic, and evidence. If someone says "can't have a rational discussion," it may indicate that they feel the other person is not open to considering different viewpoints or is being overly emotional or irrational. It could also suggest that the topic is too sensitive or contentious for a calm and logical conversation. In any case, it's important to try to understand the reasons behind the statement and work towards finding common ground for a productive discussion.

### Is belief in aliens rational?

Belief in aliens can be considered rational in the sense that the universe is vast and the possibility of other intelligent life f...

Belief in aliens can be considered rational in the sense that the universe is vast and the possibility of other intelligent life forms existing is not impossible. Additionally, there have been numerous reported sightings and encounters that some people believe to be evidence of extraterrestrial life. However, without concrete scientific evidence, belief in aliens remains a matter of personal belief rather than established fact. It is important to approach the topic with a critical and open-minded perspective, considering both the lack of evidence and the potential for the existence of extraterrestrial life.

### What is a rational worldview?

A rational worldview is one that is based on reason, evidence, and critical thinking. It involves making decisions and forming bel...

A rational worldview is one that is based on reason, evidence, and critical thinking. It involves making decisions and forming beliefs based on logical and coherent arguments, rather than on emotions, superstitions, or unfounded beliefs. A rational worldview seeks to understand the world through empirical evidence and scientific inquiry, and is open to changing beliefs in the face of new evidence. It values skepticism, intellectual honesty, and a commitment to seeking truth through rational inquiry.

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