Question

Which rule applies to this equation? (6)(3 π) = 18 π

Rational x Irrational = Rational
Rational x Irrational = Irrational
Rational x Rational = Rational
Irrational x Irrational = Irrational

Answer 1

Rational x Irrational = Irrational

Explanation:

6 is a rational number. It can be written as an integer over and integer
`(6)/(1)`

`\pi` is irrational. This is a number that never repeats or terminates, so it can not be written as an integer over and integer.

Answer 2

Answer: Choice B

Rational x Irrational = Irrational

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Reason:

6 = a rational number

3pi = an irrational number

18pi = an irrational number

Anything involving pi is irrational. The value 6 is rational because 6 = 6/1.

pi is irrational since we cannot write it as a ratio of two integers. We can get approximations like 22/7, but we can't nail down the exact value of pi with a fraction.