In Exercises 109-116, write a numerical expression for each phrase. Then simplify the numerical

step 1 So if we want to write an expression for the statement, we first have to figure out how to show

In Exercises 109-116, write a numerical expression for each...

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Key Concepts

Arithmetic with Negative Numbers

Manipulating negative numbers is a fundamental aspect of arithmetic operations. It is important to correctly apply the rules for operations involving negatives, such as recognizing that the product of a positive and a negative number yields a negative result, ensuring accurate computation.

Simplification of Expressions

Simplifying expressions involves executing the arithmetic steps as dictated by the order of operations to reduce the expression to its simplest form. This process helps in verifying that the expression is correct and in obtaining a final, simplified numerical value.

Verbal to Algebraic Translation

This concept involves converting words into mathematical symbols and expressions. It requires recognizing key phrases such as 'added to' as indicating addition and 'product of' as indicating multiplication, then correctly representing them in an algebraic format.

Order of Operations

Understanding the order of operations is essential when simplifying expressions. It dictates the sequence in which calculations are performed, typically following the PEMDAS/BODMAS rules, so that multiplication is performed before addition unless parentheses indicate a different order.

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