Rational Numbers

If $\frac{a}{b}$ is a rational number, then which of the following is its additive inverse?

What is the result when $0$ is divided by $\frac{-3}{4}$?

The product of a rational number and $1$ is:

Is every fraction a rational number?

Find the value of $k$ if the equation $\frac{-2}{7} + k = \frac{-2}{7}$ holds true for rational numbers.

If $x$ is the reciprocal of $y$, then $y$ must be the reciprocal of:

The property $a(b + c) = ab + ac$ is primarily used to:

The product of a positive rational number $x$ and its additive inverse is $-16$. Find the value of $x$.

If $a = \frac{1}{3}$, find the value of $(a \div a) - a$.

Calculate the sum of the reciprocals of $2$ and $3$.

If point $P$ is at $\frac{3}{4}$ on the number line and we move $\frac{1}{4}$ unit to the left, which point do we reach?

To plot $-\frac{5}{6}$, we divide the segment between $0$ and $-1$ into $6$ equal parts and count:

Which rational number is located exactly $\frac{1}{2}$ unit to the right of the integer $1$?

On a number line, if point $A$ is at $\frac{2}{5}$ and point $B$ is at $\frac{-2}{5}$, what is the value of the point exactly halfway between $A$ and $B$?

Which of these rational numbers is located to the left of $-2.5$ on the number line?

What is the coordinate of the point that is $\frac{1}{3}$ of the way from $0$ to $-1$?

If the distance from $0$ to $1$ is divided into $6$ equal parts, what is the coordinate of the point that is $2$ parts to the left of the integer $1$?

Point $A$ is at $-\frac{5}{7}$. Point $B$ is the reflection of $A$ across the origin. Point $C$ is the midpoint of $AB$. Point $D$ is the midpoint of $AC$. What is $D$?

Two rational numbers $x$ and $y$ are such that $x$ is the additive inverse of $\frac{3}{4}$ and $y$ is the multiplicative inverse of $-\frac{2}{3}$. What is the distance between $x$ and $y$ on the number line?

What is the coordinate of the point that is exactly halfway between the midpoint of $[-\frac{1}{2}, \frac{1}{2}]$ and the midpoint of $[\frac{1}{4}, \frac{3}{4}]$?

Find a rational number between $-0.25$ and $-0.2$.

A rational number between $\frac{1}{5}$ and $\frac{1}{4}$ is:

Which of the following is between $\frac{2}{3}$ and $\frac{3}{4}$?

Find a rational number between $1.9$ and $2$.

Find the rational number that lies exactly $\frac{1}{4}$ of the way from $\frac{2}{3}$ to $\frac{8}{9}$ on the number line.

Which of these is a rational number between $\frac{-4}{5}$ and $\frac{-1}{2}$?

Identify the rational number between $2$ and $2.1$.

Which of the following is a rational number between $\frac{1}{\pi}$ and $\frac{1}{3}$? (Assume $\pi \approx \frac{22}{7}$)

Find the rational number $1/5$ of the distance from $-\frac{2}{3}$ to $\frac{1}{3}$.

How many rational numbers with denominator 30 lie between $\frac{1}{5}$ and $\frac{1}{6}$?