Evaluate: $|2-5+4|$

A-1
B-11
C11
D1

Question

04-11-2026
Mathematics

Answered

Evaluate: $|2-5+4|$

A-1
B-11
C11
D1

Verified Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-04T01:05:23-05:00

Perform the arithmetic operations inside the absolute value brackets: $2 - 5 + 4 = 1$.
Apply the definition of absolute value to the resulting number: $|1| = 1$.
Identify that the result matches option D.
The final answer is $\boxed{1}$.

Explanation

Analyzing the Expression

We are asked to evaluate the expression $|2 - 5 + 4|$. The vertical bars $| \cdot |$ represent the absolute value function. By definition, the absolute value of a real number $x$, denoted $|x|$, represents the distance of the number from zero on the real number line, regardless of its sign. Specifically, $|x| = x$ if $x \geq 0$, and $|x| = -x$ if $x < 0$. The order of operations requires us to simplify the expression inside the absolute value brackets before applying the absolute value operation.

Simplifying the Internal Expression

First, we focus on the inner arithmetic: $2 - 5 + 4$. Performing the subtraction and addition from left to right:
$2 - 5 = -3$
$-3 + 4 = 1$
So, the inner expression simplifies to $1$.

Evaluating the Absolute Value

Now, we apply the absolute value to the result: $|1|$. Since $1$ is greater than or equal to zero, its absolute value is simply the number itself:
$|1| = 1$.

Final Result and Conclusion

Comparing our result with the given choices:
◯ A. $-1$
◯ B. $-11$
◯ C. $11$
◯ D. $1$
The correct option is D. The final answer is $\boxed{1}$.

Examples

The absolute value concept is essentially about distance. Think of it like walking on a straight path: whether you walk 1 meter to the right of your home (represented by $+1$) or 1 meter to the left (represented by $-1$), you are still exactly 1 meter away from your starting point. In the same way, the absolute value tells us how "far" a number is from zero, ensuring the distance is always a non-negative value. This is used frequently in navigation, physics, and even in finance to calculate differences in value regardless of which direction the change happens.

Evaluate: $|2-5+4|$ A-1B-11C11D1

Verified Answer :

Explanation

Examples

Related Questions

Evaluate: $|2-5+4|$

A-1
B-11
C11
D1