Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The number vv is rational. Which statement about 5+v5 + v is true?\newlineChoices:\newline(A) 5+v5 + v is rational.\newline(B) 5+v5 + v is irrational.\newline(C) 5+v5 + v can be rational or irrational, depending on the value of vv.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Properties of operations on rational and irrational numbersright chevron icon

Full solution

Q. The number vv is rational. Which statement about 5+v5 + v is true?\newlineChoices:\newline(A) 5+v5 + v is rational.\newline(B) 5+v5 + v is irrational.\newline(C) 5+v5 + v can be rational or irrational, depending on the value of vv.
  1. Identify Number Nature: Identify the nature of the number 55.55 is a whole number, which is also a rational number because it can be expressed as the fraction 51\frac{5}{1}.
  2. Sum Property of Rationals: Understand the property of the sum of two rational numbers. The sum of two rational numbers is always rational. This is because if you have two rational numbers, ab\frac{a}{b} and cd\frac{c}{d}, their sum ad+bcbd\frac{ad + bc}{bd} is also a rational number since both the numerator and the denominator are integers and the denominator is not zero.
  3. Apply Property to Numbers: Apply the property to the given numbers.\newlineSince 55 is rational and vv is given to be rational, their sum 5+v5 + v must also be rational according to the property of rational numbers.

More problems from Properties of operations on rational and irrational numbers

Question
The number t t is irrational. Which statement about t−47 t - \sqrt{47} is true?\newlineChoices:\newline(A) t−47 t - \sqrt{47} is rational. \newline(B) t−47 t - \sqrt{47} is irrational. \newline(C) t−47 t - \sqrt{47} can be rational or irrational, depending on the value of t t .
Get tutor helpright-arrow

Posted 3 months ago

Question
Is (314)⋅(771)(\frac{3}{14})\cdot(\frac{7}{71}) rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational
Get tutor helpright-arrow

Posted 3 months ago

Question
Is the following number rational or irrational?\newlineπ5\frac{\pi}{5}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the following number rational or irrational?\newline−3+π-3+\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 3 months ago

Question
Is the following number rational or irrational?\newline−0.32‾-0.\overline{32}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline121\sqrt{121}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline0.55550.5555\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline7.117.11\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline0.30.9\frac{0.3}{0.9}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline−11π-11\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 2 months ago

View all (56)