-18 - \{-14 + (-16 - 4 ÷ 2 × 5)\}

To solve the problem − 18 − { − 14 + ( − 16 − 2 4 ​ × 5 )} , we will work step-by-step following the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Solve inside the innermost parentheses first:

The expression inside the parentheses ( − 16 − 2 4 ​ × 5 ) should be simplified first.
Perform the division inside the parentheses: 2 4 ​ = 2 .
Now the expression becomes − 16 − 2 × 5 .


Perform multiplication:

Multiply 2 × 5 = 10 .
Now, the expression inside becomes − 16 − 10 .


Perform subtraction inside the parentheses:

Simplify − 16 − 10 = − 26 .
So, inside the outer brackets, we have {-14 + (-26)}.


Addition inside the brackets:

Add − 14 + ( − 26 ) = − 14 − 26 = − 40 .
Therefore, the expression becomes − 18 − { − 40 } .


Resolve the outer subtraction:

To subtract a negative number, add its positive equivalent: − 18 + 40 = 22 .



Therefore, the solution to the expression is 22 .

Answered by JessicaJessy | 2025-07-06

The expression -18 - {-14 + (-16 - 4 ÷ 2 × 5)} simplifies to 22 through the order of operations. We resolve the innermost parentheses first, then perform multiplication, subtraction, and finally address the outer subtraction to obtain the answer. Following PEMDAS ensures we correctly simplify the expression step by step.
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Answered by JessicaJessy | 2025-08-11