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

Identify Number 8: Identify the nature of the number 8. 8 is an integer, and all integers are rational numbers.Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number.Analyze Sum q + 8: Analyze the sum q + 8. Since q is rational and 8 is rational, their sum q + 8 must also be rational.

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

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Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

q

is rational. Which statement about

q + 8

is true?

\newline

Choices:

\newline

(A)

q + 8

is rational.

\newline

(B)

q + 8

is irrational.

\newline

(C)

q + 8

can be rational or irrational, depending on the value of

q

Identify Number $8$ : Identify the nature of the number $8$ . $8$ is an integer, and all integers are rational numbers.
Properties of Rational Numbers: Understand the properties of rational numbers. The sum of two rational numbers is always a rational number.
Analyze Sum $q + 8$ : Analyze the sum $q + 8$ . $\newline$ Since $q$ is rational and $8$ is rational, their sum $q + 8$ must also be rational.