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Chapter 5: Problem 83

Use the order of operations to find the value of each expression. \((-5)-6(-3)\)

Short Answer

Expert verified
The value of the expression \((-5)-6(-3)\) is -23.

Step by step solution

01

Address Parentheses

The parentheses in the expression indicate that these operations need to be performed first. In this case, there is a single number inside one set of parentheses: -5. However, parentheses also indicate multiplication in the second part. Multiplication takes precedence over addition or subtraction, so calculate -6 times -3 to get 18.
02

Perform Subtraction

Moving from left to right, the next step is to subtract 18 (the result of the multiplication) from -5. When subtracting a positive number from a negative number, you add the absolute values and keep the sign of the larger number. Therefore, -5 - 18 becomes -23.

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