Let a/b and c/d represent two rational numbers. This means a, b, c, and d are (integers or irrational numbers), and b and d are not 0. This product of the numbers is ac/bd, where bd in not 0. Both ac and bd are (integers or irrational numbers), and bd is not 0. Because ac/bd is the ratio of two (integers or irrational numbers), the product is a rational number.

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Question

Mathematics

Clements

5 February, 18:53

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are (integers or irrational numbers), and b and d are not 0. This product of the numbers is ac/bd, where bd in not 0. Both ac and bd are (integers or irrational numbers), and bd is not 0. Because ac/bd is the ratio of two (integers or irrational numbers), the product is a rational number.

Choose from one of the two options from the () parentheses!

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Answers (1)

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Drake Savage · Answer 1

All of the answer choices are "integers"

a, b, c, d are integers, which is basically the set of positive or negative whole numbers. Though they make the restriction that b and d are not zero

a*c is an integer, so is b*d. This is due to the closure property of multiplication of integers (multiply any two integers you want and it leads to another integer)

ac/bd is the ratio of two integers (ac and bd) where bd is nonzero