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Is a rational number also a real number?
Yes, a rational number is also a real number. All rational numbers can be expressed as a fraction of two integers, and since integers are a subset of real numbers, rational numbers are also a subset of real numbers. Therefore, every rational number is also a real number.
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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 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.
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What are the differences between rational and real numbers?
Rational numbers are numbers that can be expressed as a fraction of two integers, while real numbers include all rational and irrational numbers. Rational numbers can be written as terminating or repeating decimals, while real numbers can have non-repeating and non-terminating decimals. Additionally, rational numbers can be plotted on a number line, while real numbers include all points on the number line, including irrational numbers.
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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 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.
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140 Minute Authentic Thai Pamper Package in Bristol
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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 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.
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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 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.
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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 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.
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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 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.
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