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ID: 3113261 • Letter: O

Question

ookmarks Window Help my.hrw.com Apple Google Netfx-Wat. Movies Online Google youtube.com Homeworks WorldWideTestt OGMiami-Dade County P Home - Student Portal https://my.hrw.com/da Personal Math Trainer Beginning-of-Year Test HMH » ] 44 11 12 13| 14 15 16 17 18 19 20 Questiorn Prove that the rational numbers are closed under addition. Complete the explanation. Let p.Q.f, and s be integers with q 0 ands o.Then 2 and , are rational numbers by definition. We know that ps.gr, and qs are integers because the product of integer factors is (select) , p , s + q-r is also an integer because integers are closed under a whole number (select)o because q0 ands o. an integer a real number Thus, B number and therefore, the sum of two rational is (select, 9 5 numbers is a rational number Question 13 of 22 Next Question ? Turn it In Save & Close KNEWTON

Explanation / Answer

ANS: 1) (An integer) because product of 2 integers is always an integer.

2) (not equal to sign) because if neither of the 2 numbers is zero then their product is not equal to zero.

3)( A rational) because the numerator and denominator are integers and the denominator is not zero.