Ejercicio

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MATEMATICAS 1 INDUSTRIAL EJERCICIOS EXTRAS DE CONJUNTO DE NUMEROS REALES
PROF: ING JOSÉ LLANITO URBANA POR:ARTURO MARTINEZ PEREZ
1. (1 pt) Recall that the natural numbers are 1, 2, 3, . . . , theintegers are . . . , −3, −2, −1, 0, 1, 2, 3, . . . , rational numbers are ratios of integers (with the denominator being non-zero), and real numbers are all numbers corresponding to points on thenumber line. You can also think of real numbers as repeating or non-repeating decimals. There are more technical definitions which you will learn in real analysis. Indicate whether the following statementsare True (T) or False (F). 1. The sum of two natural numbers is always a natural number. 2. The difference of two natural numbers is always a natural number. 3. The difference of two natural numbersis always an integer. 4. The product of two natural numbers is always a natural number. 5. The quotient of two natural numbers is always a rational number 6. The ratio of two natural numbers is alwayspositive 7. The quotient of two natural numbers is always a natural number. 2. (1 pt) Indicate whether the following statements are True (T) or False (F). 1. The quotient of two integers is always arational number (provided the denominator is non-zero). 2. The sum of two integers is always an integer. 3. The difference of two integers is always an integer. 4. The difference of two integers isalways a natural number. 5. The quotient of two integers is always an integer (provided the denominator is non-zero). 6. The product of two integers is always an integer. 7. The ratio of two integers isalways positive 3. (1 pt) Indicate whether the following statements are True (T) or False (F). 1. The quotient of two rational numbers is always a real number (provided the denominator is non-zero).2. The ratio of two rational numbers is always positive 3. The difference of two rational numbers is always a rational number. 4. The product of two rational numbers is always a rational number.
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