The number v is rational. Which statement about v 33 is true? a) rational or irrational b) can be rational or irrational c) depending on the value

Evaluate Expression: Evaluate the expression v * 33. Since v is rational, let's represent v as a fraction a/b, where a and b are integers and b is not zero. v * 33 = (a/b) * 33 = 33a/b.Determine Nature: Determine the nature of 33a/b. 33a and b are still integers (since integers are closed under multiplication). Thus, 33a/b is a fraction with integer numerator and denominator, which defines 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 $v + 33$ is true? $\newline$ a) rational or irrational $\newline$ b) can be rational or irrational $\newline$ c) depending on the value

View step-by-step help

Home

Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. The number

v

is rational. Which statement about

v + 33

is true?

\newline

a) rational or irrational

\newline

b) can be rational or irrational

\newline

c) depending on the value

Evaluate Expression: Evaluate the expression $v \times 33$ . $\newline$ Since $v$ is rational, let's represent $v$ as a fraction $\frac{a}{b}$ , where $a$ and $b$ are integers and $b$ is not zero. $\newline$ $v \times 33 = \left(\frac{a}{b}\right) \times 33 = \frac{33a}{b}$ .
Determine Nature: Determine the nature of $\frac{33a}{b}$ . $33a$ and $b$ are still integers (since integers are closed under multiplication). Thus, $\frac{33a}{b}$ is a fraction with integer numerator and denominator, which defines a rational number.