Question - Solving a Division and Multiplication Equation with Parentheses
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Solution:
To solve the equation 8 ÷ 2(2 + 2), you need to follow the order of operations, often remembered by the acronym PEMDAS which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).Here's how you solve the equation step-by-step:1. First, solve the expression within the parentheses:$$2 + 2 = 4$$2. Now, rewrite the equation with the sum:$$8 ÷ 2(4)$$Since there are no parentheses containing an operation to perform or exponents to simplify, proceed with multiplication and division from left to right.3. Perform the division followed by multiplication:$$8 ÷ 2 = 4$$$$4 × 4 = 16$$Therefore, the solution to the equation $$8 ÷ 2(2 + 2)$$ is $$16$$.
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