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Evaluate the expression. \( 4 \div 2 \cdot 3 \)

Ask by Blake Hobbs. in the United States
Jan 24,2025

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Answer

The expression \( 4 \div 2 \cdot 3 \) equals 6.

Solution

Sure, let's evaluate the expression step by step: \[ 4 \div 2 \cdot 3 \] **Step 1: Understand the Order of Operations** The order of operations dictates the sequence in which calculations are performed. A common mnemonic for this is **PEMDAS**, which stands for: - **P**arentheses - **E**xponents - **M**ultiplication and **D**ivision (from left to right) - **A**ddition and **S**ubtraction (from left to right) **Step 2: Identify and Perform Multiplication and Division** In the expression \( 4 \div 2 \cdot 3 \), there are no parentheses or exponents, so we move to multiplication and division. Importantly, multiplication and division are performed **from left to right**. 1. **First Operation (Division):** \[ 4 \div 2 = 2 \] 2. **Second Operation (Multiplication):** \[ 2 \cdot 3 = 6 \] **Final Answer:** \[ 4 \div 2 \cdot 3 = 6 \]

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Bonus Knowledge

To evaluate the expression \( 4 \div 2 \cdot 3 \), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). First, we perform the division: \( 4 \div 2 = 2 \) Next, we multiply the result by 3: \( 2 \cdot 3 = 6 \) So, the final answer is \( 6 \). If you're ever in doubt about the order of operations, remember the saying "PEMDAS" can sound like "Please Excuse My Dear Aunt Sally," and that serves as a fun reminder to tackle your math problems in the correct order! Next time you're working with expressions like these, make sure to keep an eye on your order, as mixing things up could lead to very different results! Using a calculator can help double-check, but it’s also fun to work it out on paper to see how the numbers flow together.

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