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

Identify Number 8: Identify the nature of the number 8. 8 is an integer, and all integers are rational numbers.Sum of Rational Numbers: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always a rational number.Apply Property to Given Numbers: Apply the property to the given numbers. Since a is rational and 8 is rational, their sum a + 8 must also be rational.

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

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

a

is rational. Which statement about

a + 8

is true?

\newline

Choices:

\newline

(A)

a + 8

is rational.

\newline

(B)

a + 8

is irrational.

\newline

(C)

a + 8

can be rational or irrational, depending on the value of

a

Identify Number $8$ : Identify the nature of the number $8$ . $8$ is an integer, and all integers are rational numbers.
Sum of Rational Numbers: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always a rational number.
Apply Property to Given Numbers: Apply the property to the given numbers. $\newline$ Since $a$ is rational and $8$ is rational, their sum $a + 8$ must also be rational.