Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The number $q$ is rational. Which statement about $4 - q$ is true? $\newline$ Choices: $\newline$ (A) $4 - q$ is rational. $\newline$ (B) $4 - q$ is irrational. $\newline$ (C) $4 - q$ can be rational or irrational, depending on the value of $q$ .

View step-by-step help

View step-by-step help

Properties of operations on rational and irrational numbers

Full solution

Q. The number

q

is rational. Which statement about

4 - q

is true?

\newline

Choices:

\newline

(A)

4 - q

is rational.

\newline

(B)

4 - q

is irrational.

\newline

(C)

4 - q

can be rational or irrational, depending on the value of

q

.

Identify Number $4$ : Identify the nature of the number $4$ . $4$ is an integer, and all integers are rational numbers.
Properties of Rational Numbers: Understand the properties of rational numbers. The difference between two rational numbers is always a rational number.
Analyze Expression $4 - q$ : Analyze the expression $4 - q$ given that $q$ is rational. $\newline$ Since $4$ is rational and $q$ is rational, their difference $(4 - q)$ must also be rational.
Conclusion: Conclude the nature of the expression $4 - q$ . $\newline$ Therefore, $4 - q$ is rational.

More problems from Properties of operations on rational and irrational numbers

Question

Simplify. Write your answer as a proper or improper fraction in simplest form.

\newline

\frac{\frac{10}{9}}{\frac{1}{10}} = \frac{\square}{\square}

Posted 1 month ago

Question

a

b

be rational numbers, and let

b

be non-zero. Is

\frac{a}{b}

rational or irrational?

\newline

1

\newline

\newline

\newline

(C) It can be either rational or irrational

Posted 4 months ago

Question

a

be a non-zero rational number and

b

be an irrational number. Is

\frac{a}{b}

rational or irrational? Choose

1

\newline

\newline

\newline

(C) It can be either rational or irrational

Posted 4 months ago

Question

What is the slope of

y=6 x+2

Posted 4 months ago

Question

\frac{1}{5}+4 h=\frac{1}{3}

\newline

What is the value of

h

in the equation?

Posted 2 months ago

Question

\frac{2}{7} x+\frac{11}{7} x=\frac{3}{5}

\newline

Given the equation, what is the value of

13 x

Posted 10 days ago

Question

3 x+4(2-y)=5 x

\newline

2-y=6 x

\newline

Consider the given system of equations. If

(x, y)

is the solution to the system, then what is the value of

\frac{x}{y}

Posted 26 days ago

Question

y

-intercept of the graph of

y=3 x+7

Posted 4 months ago

Question

y=x+4

\newline

\frac{y+3}{4}=7 x^{2}-x+1

\newline

(a, b)

is a solution to the system of equations shown and

a>0

, what is the value of

a

Posted 4 months ago

Question

0

0939

Posted 2 months ago