The number t is irrational. Which statement about t + 8 is true? Choices: (A)t + 8 is rational. (B)t + 8 is irrational. (C)t + 8 can be rational or irrational, depending on the value of t.

Identify Number 8: Identify the nature of the number 8. 8 is a whole number, which means it is a rational number.Properties of Numbers: Understand the properties of irrational and rational numbers. The sum of a rational number and an irrational number is always irrational.Apply Property to Problem: Apply the property to the given problem. Since t is irrational and 8 is rational, their sum t + 8 must be irrational.Choose Correct Statement: Choose the correct statement based on the property. The correct statement about t + 8, given that t is irrational, is that t + 8 is irrational.

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The number $t$ is irrational. Which statement about $t + 8$ is true? $\newline$ Choices: $\newline$ (A) $t + 8$ is rational. $\newline$ (B) $t + 8$ is irrational. $\newline$ (C) $t + 8$ can be rational or irrational, depending on the value of $t$ .

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

t

is irrational. Which statement about

t + 8

is true?

\newline

Choices:

\newline

(A)

t + 8

is rational.

\newline

(B)

t + 8

is irrational.

\newline

(C)

t + 8

can be rational or irrational, depending on the value of

t

Identify Number $8$ : Identify the nature of the number $8$ . $8$ is a whole number, which means it is a rational number.
Properties of Numbers: Understand the properties of irrational and rational numbers. The sum of a rational number and an irrational number is always irrational.
Apply Property to Problem: Apply the property to the given problem. $\newline$ Since $t$ is irrational and $8$ is rational, their sum $t + 8$ must be irrational.
Choose Correct Statement: Choose the correct statement based on the property. $\newline$ The correct statement about $t + 8$ , given that $t$ is irrational, is that $t + 8$ is irrational.