Mathematics

Mathematics, 29.09.2019 22:30, nicollexo21

Which one of the following numbers is an irrational number? a. 3.741 b. 7.676767… c. 8.12131415… d. 134⁄675

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Mathematics, 03.08.2019 03:30, dkdk31

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number. let a be a rational number and b be an irrational number. assume that a + b = x and that x is rational. then b = x – a = x + (–a). x + (–a) is rational because however, it was stated that b is an irrational number. this is a contradiction. therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number. in conclusion, the sum of a rational number and an irrational number is irrational. which of the following best completes the proof? it is the sum of two rational numbers. it is the sum of two irrational numbers. it represents a non-terminating, non-repeating decimal. its terms cannot be combined.

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Mathematics, 24.08.2019 12:00, sdepasquale24

1. which of the following numbers is an example of an integer? • **-15 ** • **3/5** • **0.252525 . .** 2. which statement is false? • **every integer is a real number.** • **the number zero is a rational number. ** • **every irrational number is a real number. ** • **every real number is a rational number.** 3. which number is not the same type of number as the others in the list? • **5.85** • **63.4** • **8.52624 . . ** • **27.5** 4. how would you change this sentence to a true statement? some irrational numbers are also rational numbers. • **all irrational numbers are also rational numbers.** • **half of the irrational numbers are also rational numbers.** • **one-third of the irrational numbers are also rational numbers. ** • **irrational numbers cannot be classified as rational numbers.** 5. how would you change this sentence to a true statement? every irrational number is an integer. • **every irrational number is a rational number.** • **every irrational number is a real number. ** • **every irrational number is a whole number. ** • **every irrational number is a perfect square.**

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Mathematics, 18.09.2019 21:00, erickamurillo9929

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number. let a be a rational number and b be an irrational number. assume that a + b = x and that x is rational. then b = x – a = x + (–a). x + (–a) is rational because however, it was stated that b is an irrational number. this is a contradiction. therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number. in conclusion, the sum of a rational number and an irrational number is irrational. which of the following best completes the proof? it is the sum of two rational numbers. it is the sum of two irrational numbers. it represents a non-terminating, non-repeating decimal. its terms cannot be combined.

Answers: 1

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Which one of the following numbers is an irrational number? a. 3.741 b. 7.676767… c. 8.12131415… d....

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