Question

Evaluate the expression.

$\left|\mathbf{1}\mathbf{-}\left|-4\right|\right|$

Short answer

Answer is 3.

Step-by-step solution

Step 1. Understanding the concept of Absolute value.

In the given expression concept of absolute value is required. Here $\left|\text{-4}\right|\text{=4}$

Absolute value is how much a number is distant from the origin without taking in consideration the signs associated with it.

Step 2. Replacing -4 with 4.

Thus, the expression becomes$\left|\text{1-4}\right|$

Step 3. Again we shall find the absolute value to determine the answer.

$\begin{array}{c}\left|\text{1-4}\right|\text{=}\left|\text{-3}\right|\\ \left|\text{-3}\right|\text{=3}\end{array}$