Let a be a rational number and b be an irrational number. Is a-b rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

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Let  a be a rational number and  b be an irrational number. Is  a-b rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

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Definition of Rational and Irrational Numbers: Let's consider what a rational and an irrational number are. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. An irrational number is a number that cannot be expressed as a simple fraction - it's decimal goes on forever without repeating.Representation of Rational Numbers: Knowing that a is a rational number, we can write it as a = p/q, where p and q are integers and q is not zero.Examples of Irrational Numbers: Since b is an irrational number, it cannot be expressed as a fraction of two integers. Examples of irrational numbers include √2, π, and e.Result of Subtracting an Irrational Number from a Rational Number: When we subtract an irrational number from a rational number (a - b), the result cannot be expressed as a fraction of two integers because the irrational part 'b' will still have a non-repeating, non-terminating decimal component that cannot be captured by a simple fraction.Conclusion: Rational Minus Irrational Equals Irrational: Therefore, the difference of a rational number and an irrational number is itself an irrational number. This is because the non-repeating, non-terminating decimal part of the irrational number 'b' cannot be cancelled out or simplified by subtracting a rational number 'a'.

Let $a$ be a rational number and $b$ be an irrational number. Is $a-b$ rational or irrational? $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational

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Let $a$ be a rational number and $b$ be an irrational number. Is $a-b$ rational or irrational? $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational