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5 votes
Is this sum rational or irrational? Explain.

1.12 + 18/7 (1 point)

The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.

The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..

The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.

The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.​

User Jhickok
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2 Answers

5 votes

Answer:

The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.

Explanation:

User Bruno Buccolo
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7 votes

Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational

Explanation:

Given the two numbers :

1.12 and 18/7

1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100

18/7 on the other hand is an irrational number as it is a non-terminating decimal.

Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.

18 / 7 = 2.57142857....

Taking the sum of both,

1.12 + 2.57142857... = 3.69142857... ; which is irrational

User Jscott
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