Evaluate The Expression For W = − 12 W = -12 W = − 12 .Write Your Answer As A Decimal Or Whole Number. 2.3 + 0.5 W = 2.3 + 0.5w = 2.3 + 0.5 W = □ \square □

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Introduction

In this article, we will evaluate the expression $2.3 + 0.5w$ when $w = -12$. This involves substituting the value of $w$ into the expression and simplifying it to obtain the final result. We will use basic arithmetic operations such as addition and multiplication to evaluate the expression.

Understanding the Expression

The given expression is $2.3 + 0.5w$. This expression involves two terms: a constant term $2.3$ and a variable term $0.5w$. The variable term $0.5w$ is multiplied by the constant $0.5$, and the result is added to the constant term $2.3$.

Substituting the Value of $w$

To evaluate the expression, we need to substitute the value of $w$ into the expression. We are given that $w = -12$. Substituting this value into the expression, we get:

$2.3 + 0.5(-12)$

Simplifying the Expression

To simplify the expression, we need to follow the order of operations (PEMDAS):

1. Multiply $0.5$ by $-12$: $0.5(-12) = -6$
2. Add $2.3$ and $-6$: $2.3 + (-6) = -3.7$

Final Result

Therefore, the final result of the expression $2.3 + 0.5w$ when $w = -12$ is:

$-3.7$

Conclusion

In this article, we evaluated the expression $2.3 + 0.5w$ when $w = -12$. We substituted the value of $w$ into the expression and simplified it using basic arithmetic operations. The final result of the expression is $-3.7$.

Frequently Asked Questions

• What is the value of $w$ in the expression $2.3 + 0.5w$? $w = -12$
• How do we simplify the expression $2.3 + 0.5w$ when $w = -12$? We substitute the value of $w$ into the expression and follow the order of operations (PEMDAS).
• What is the final result of the expression $2.3 + 0.5w$ when $w = -12$? The final result is $-3.7$.

Related Topics

• Evaluating expressions with variables
• Simplifying expressions using basic arithmetic operations
• Order of operations (PEMDAS)

References

• [1] "Algebra" by Michael Artin
• [2] "Mathematics for Dummies" by Mary Jane Sterling

Note: The references provided are for general information purposes only and are not specific to this article.

Introduction

In this article, we will answer some frequently asked questions about evaluating expressions with variables. We will cover topics such as substituting values into expressions, simplifying expressions using basic arithmetic operations, and following the order of operations (PEMDAS).

Q&A

Q1: What is the value of $w$ in the expression $2.3 + 0.5w$?

A1: The value of $w$ in the expression $2.3 + 0.5w$ is $-12$.

Q2: How do we simplify the expression $2.3 + 0.5w$ when $w = -12$?

A2: To simplify the expression $2.3 + 0.5w$ when $w = -12$, we substitute the value of $w$ into the expression and follow the order of operations (PEMDAS). We multiply $0.5$ by $-12$ to get $-6$, and then add $2.3$ and $-6$ to get $-3.7$.

Q3: What is the final result of the expression $2.3 + 0.5w$ when $w = -12$?

A3: The final result of the expression $2.3 + 0.5w$ when $w = -12$ is $-3.7$.

Q4: How do we evaluate an expression with a variable in the denominator?

A4: To evaluate an expression with a variable in the denominator, we need to follow the order of operations (PEMDAS). We simplify the expression by combining like terms and then divide the numerator by the denominator.

Q5: What is the difference between a variable and a constant in an expression?

A5: A variable is a letter or symbol that represents a value that can change, while a constant is a value that does not change. In the expression $2.3 + 0.5w$, $w$ is a variable and $2.3$ is a constant.

Q6: How do we simplify an expression with multiple variables?

A6: To simplify an expression with multiple variables, we need to follow the order of operations (PEMDAS). We combine like terms and then simplify the expression.

Q7: What is the order of operations (PEMDAS)?

A7: The order of operations (PEMDAS) is a set of rules that tells us which operations to perform first when evaluating an expression. The acronym PEMDAS stands for:

• P: Parentheses
• E: Exponents
• M: Multiplication
• D: Division
• A: Addition
• S: Subtraction

Q8: How do we evaluate an expression with parentheses?

A8: To evaluate an expression with parentheses, we need to follow the order of operations (PEMDAS). We simplify the expression inside the parentheses first and then perform the operations outside the parentheses.

Q9: What is the difference between an expression and an equation?

A9: An expression is a group of numbers, variables, and operators that is used to represent a value, while an equation is a statement that says two expressions are equal.

Q10: How do we solve an equation with a variable?

A10: To solve an equation with a variable, we need to isolate the variable on one side of the equation. We can do this by adding, subtracting, multiplying, or dividing both sides of the equation by the same value.

Conclusion

In this article, we answered some frequently asked questions about evaluating expressions with variables. We covered topics such as substituting values into expressions, simplifying expressions using basic arithmetic operations, and following the order of operations (PEMDAS). We hope this article has been helpful in understanding how to evaluate expressions with variables.

Frequently Asked Questions

• What is the value of $w$ in the expression $2.3 + 0.5w$?
• How do we simplify the expression $2.3 + 0.5w$ when $w = -12$?
• What is the final result of the expression $2.3 + 0.5w$ when $w = -12$?
• How do we evaluate an expression with a variable in the denominator?
• What is the difference between a variable and a constant in an expression?
• How do we simplify an expression with multiple variables?
• What is the order of operations (PEMDAS)?
• How do we evaluate an expression with parentheses?
• What is the difference between an expression and an equation?
• How do we solve an equation with a variable?

Related Topics

• Evaluating expressions with variables
• Simplifying expressions using basic arithmetic operations
• Order of operations (PEMDAS)
• Solving equations with variables

References

• [1] "Algebra" by Michael Artin
• [2] "Mathematics for Dummies" by Mary Jane Sterling

Note: The references provided are for general information purposes only and are not specific to this article.