Select all the true statements. A. Negative integers are rational numbers B. Mixed numbers are irrational numbers C. Decimal numbers that terminate, like 0.125, are rational numbers D. Decimal numbers that go on forever with repeating patterns, like 4.272727 ... are irrational numbers E. Decimal numbers that go on forever with no repeating patterns are irrational numbers

Question

Mathematics

Nemo

12 March, 04:00

Select all the true statements. A. Negative integers are rational numbers B. Mixed numbers are irrational numbers C. Decimal numbers that terminate, like 0.125, are rational numbers D. Decimal numbers that go on forever with repeating patterns, like 4.272727 ... are irrational numbers E. Decimal numbers that go on forever with no repeating patterns are irrational numbers

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Answers (1)

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Steven · Answer 1

The correct answer is A.; C.; E.

Step-by-step explanation:

A. Negative integers are rational numbers because all integers are rational numbers, i. e. integers are a subset of rational numbers, making the statement correct.

B. Mixed numbers are rational numbers because they can be written in the form of a simple fraction and thus the statement B is wrong.

C. Decimal numbers that terminate, like 0.125, are rational numbers is true as they can be written as a simple fraction making the statement true.

D. Decimal numbers that go on forever with repeating patterns, like 4.272727 ... are irrational numbers is false as they can also be represented by a simple function making them rationals.

E. Decimal numbers that go on forever with no repeating patterns are irrational numbers as they can never be written as a simple fraction making the statement E true.