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Help me plssssssssssssssssssssssssssssssssssss

Help me plssssssssssssssssssssssssssssssssssss-example-1

1 Answer

4 votes

Answer:

44.2

Explanation:

Simplify the given expression.

Given expression:


\Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5

To simplify expressions involving multiple operations, it's important to follow the order of operations. The acronym PEMDAS (or BODMAS) stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This ensures a consistent and correct way of evaluating expressions.


\hrulefill
Let's break down the expression step-by-step:

(1) Evaluate Inside Parentheses:

Begin by evaluating the expressions within the parentheses.


\Longrightarrow \Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5\\\\\\\\\Longrightarrow \Big((9.8)/(4) \Big) \cdot(-4)^2+5\\\\\\\\\Longrightarrow (2.45) \cdot(-4)^2+5

(2) Apply Exponentiation:


\Longrightarrow (2.45) \cdot(-4)^2+5\\\\\\\\\Longrightarrow (2.45) \cdot(-4)(-4)+5\\\\\\\\\Longrightarrow (2.45) \cdot(16)+5

(3) Apply Multiplication:


\Longrightarrow (2.45) \cdot(16)+5\\\\\\\\\Longrightarrow 39.2+5

(4) Final Addition:


\Longrightarrow 39.2+5\\\\\\\\\therefore \Big((5.5+4.3)/(4) \Big) \cdot(2-6)^2+5 = \boxed{\boxed{44.2}}


So, the simplified value of the given expression is 44.2.

User EagleFox
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