Chapter R.4, Problem 1DE

To determine

To calculate: The absolute value of $\left|-4\right|$.

Answer to Problem 1DE

Solution:

The absolute value of $\left|-4\right|$ is $\underset{\_}{4}$.

Explanation of Solution

Given information:

The provided number is $\left|-4\right|$.

Formula used:

The absolute value of a number refers to the distance of that number on a number line from zero.

The total unit distance is the absolute value.

Since, the distance can never be negative, and then the negative numbers have positive absolute value and the positive numbers have the absolute value as the number itself.

Calculation:

Consider the expression $\left|-4\right|$,

The number $-4$ on number line is represented as below:

Since, from the diagram it is clear that the distance of $-4$ from 0 is 4 units.

Then, the absolute value is 4.

$\left|-4\right|=4$

Hence, the absolute value of $\left|-4\right|$ is 4.