The number r is rational. is the base of the natural logarithm. Which statement about r - is true? Choices: (A)r - is rational. (B)r - is irrational. (C)r - can be rational or irrational, depending on the value of r.

Identify Type of Number: Identify whether e is a rational or irrational number. e is the base of the natural logarithm and is known to be an irrational number.Consider Number Properties: Consider the properties of rational and irrational numbers. A rational number minus an irrational number is always an irrational number.Apply Properties to Problem: Apply the properties to the given problem. Since r is rational and e is irrational, r - e will always be an irrational number.

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The number $r$ is rational. $e$ is the base of the natural logarithm. Which statement about $r - e$ is true? $\newline$ Choices: $\newline$ (A) $r - e$ is rational. $\newline$ (B) $r - e$ is irrational. $\newline$ (C) $r - e$ can be rational or irrational, depending on the value of $r$ .

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Math Problems

Algebra 2

Properties of operations on rational and irrational numbers

Full solution

Q. The number

r

is rational.

e

is the base of the natural logarithm. Which statement about

r - e

is true?

\newline

Choices:

\newline

(A)

r - e

is rational.

\newline

(B)

r - e

is irrational.

\newline

(C)

r - e

can be rational or irrational, depending on the value of

r

Identify Type of Number: Identify whether $e$ is a rational or irrational number. $e$ is the base of the natural logarithm and is known to be an irrational number.
Consider Number Properties: Consider the properties of rational and irrational numbers. A rational number minus an irrational number is always an irrational number.
Apply Properties to Problem: Apply the properties to the given problem. $\newline$ Since $r$ is rational and $e$ is irrational, $r - e$ will always be an irrational number.