Questions: Find the value of the following expression using the rules for order of operations. 3 * 2+(-5) /(-5)

Find the value of the following expression using the rules for order of operations. 3 * 2+(-5) /(-5)
Transcript text: Find the value of the following expression using the rules for order of operations. \[ 3 \cdot 2+(-5) \div(-5) \] Answer How to enter your answer (opens in new window)
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Solution

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Solution Steps

To solve the expression \(3 \cdot 2 + (-5) \div (-5)\), 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 addition.

Step 1: Apply Multiplication

First, we perform the multiplication in the expression \(3 \cdot 2\). This gives us:

\[ 3 \cdot 2 = 6 \]

Step 2: Apply Division

Next, we perform the division \((-5) \div (-5)\). Since dividing a negative number by a negative number results in a positive number, we have:

\[ (-5) \div (-5) = 1 \]

Step 3: Perform Addition

Finally, we add the results from the previous steps:

\[ 6 + 1 = 7 \]

Final Answer

\(\boxed{7}\)

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