Questions: Use the order of operation to simplify to an answer -5[2+4(6-9)]

Transcript text: Use the order of operation to simpify to an answer $-5[2+4(6-9]$

Solution

Solution Steps

To simplify the expression $-5[2+4(6-9)]$, 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, solve the expression inside the innermost parentheses, then proceed with multiplication, and finally apply the multiplication outside the brackets.

Step 1: Simplify the Innermost Parentheses

First, simplify the expression inside the innermost parentheses: $6 - 9$. \[ 6 - 9 = -3 \]

Step 2: Multiply Inside the Brackets

Next, substitute $-3$ back into the expression and perform the multiplication inside the brackets: $4 \times (-3)$. \[ 4 \times (-3) = -12 \]

Step 3: Add Inside the Brackets

Add the result to the remaining term inside the brackets: $2 + (-12)$. \[ 2 + (-12) = -10 \]

Step 4: Multiply Outside the Brackets

Finally, multiply the result by $-5$ outside the brackets: $-5 \times (-10)$. \[ -5 \times (-10) = 50 \]

Final Answer

$\boxed{50}$

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