The number v is rational. Which statement about 9 + v is true? Choices: (A)9 + v is rational. (B)9 + v is irrational. (C)9 + v can be rational or irrational, depending on the value of v.

Identify Number 9: Identify the nature of the number 9. 9 is a whole number, which is also a rational number because it can be expressed as the fraction 9/1.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. This is because if you have two fractions a/b and c/d, their sum (ad + bc) / (bd) is also a fraction, which means it is a rational number.Apply Property to Given Numbers: Apply the property to the given numbers. Since v is a rational number and 9 is a rational number, their sum 9 + v must also be a rational number.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The number $v$ is rational. Which statement about $9 + v$ is true? $\newline$ Choices: $\newline$ (A) $9 + v$ is rational. $\newline$ (B) $9 + v$ is irrational. $\newline$ (C) $9 + v$ can be rational or irrational, depending on the value of $v$ .

View step-by-step help

Home

Math Problems

Algebra 1

Properties of operations on rational and irrational numbers

Full solution

Q. The number

v

is rational. Which statement about

9 + v

is true?

\newline

Choices:

\newline

(A)

9 + v

is rational.

\newline

(B)

9 + v

is irrational.

\newline

(C)

9 + v

can be rational or irrational, depending on the value of

v

Identify Number $9$ : Identify the nature of the number $9$ . $9$ is a whole number, which is also a rational number because it can be expressed as the fraction $\frac{9}{1}$ .
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. This is because if you have two fractions $\frac{a}{b}$ and $\frac{c}{d}$ , their sum $\frac{ad + bc}{bd}$ is also a fraction, which means it is a rational number.
Apply Property to Given Numbers: Apply the property to the given numbers. $\newline$ Since $v$ is a rational number and $9$ is a rational number, their sum $9 + v$ must also be a rational number.