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Label the following numbers as rational or irrational

Label the following numbers as rational or irrational-example-1
User Cheluis
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2 Answers

7 votes

Answers:

  • a) rational
  • b) rational
  • c) rational
  • d) irrational
  • e) rational

Everything is rational but choice D

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Step-by-step explanation:

A rational number is anything in the form p/q where p and q are integers. The value of q cannot be zero.

So that's why -4/11 is rational. Here we have p = -4 and q = 11.

Any terminating decimal is rational. For choice A, we have 3.14 = 314/100

Choice C is also rational because
\sqrt{(4)/(9)} = (√(4))/(√(9)) = (2)/(3)

Choice E is rational since 6 = 6/1.

In short, choices A, B, C, and E are rational.

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The only irrational answer is d) 2pi

pi is irrational because we cannot write it as a fraction of two integers. Any number in the form n*pi, where n is any integer, is also irrational.

User Srohde
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6.1k points
7 votes
C. Is Irrational number
B. Is rational number
D. Is Irrational number
E. None
A. Is a rational number.

That’s All I know
Hope it helps :))
Have a nice day
User Sean Magyar
by
5.5k points