Question

Use the number line to determine the absolute value.

Enter the value, as a mixed number in simplest form, in the box.

∣∣−2 2/3∣∣ =

Answer 1

Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number $\left \| -2\frac{2}{3} \right \|$ that means we have to find the distance of $\left \| -2\frac{2}{3} \right \|$ from the origin of a number line.

Distance of $-2\frac{2}{3}$ from the origin is $2\frac{2}{3}$. As distance can never be negative.

Therefore, the absolute value of $\left \| -2\frac{2}{3} \right \|$ is  $2\frac{2}{3}$.