Questions: Evaluate the following. 3 × 6 - 15 ÷ 5 - 4

Evaluate the following.
3 × 6 - 15 ÷ 5 - 4
Transcript text: Evaluate the following. \[ 3 \times 6-15 \div 5-4 \]
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Solution

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Solution Steps

To evaluate the expression \(3 \times 6 - 15 \div 5 - 4\), we need to follow 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)). First, perform the multiplication and division from left to right, and then perform the subtraction.

Step 1: Apply the Order of Operations

To evaluate the expression \(3 \times 6 - 15 \div 5 - 4\), we start by applying the order of operations, which is often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 2: Perform Multiplication and Division

First, perform the multiplication and division from left to right:

  1. Calculate \(3 \times 6 = 18\).
  2. Calculate \(15 \div 5 = 3\).
Step 3: Perform Subtraction

Substitute the results back into the expression and perform the subtraction:

\[ 18 - 3 - 4 \]

  1. Calculate \(18 - 3 = 15\).
  2. Calculate \(15 - 4 = 11\).

Final Answer

\(\boxed{11}\)

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