Evaluating the Expression: (-4) + 2 × (-3)
In mathematics, evaluating expressions is an essential skill to master. In this article, we will explore how to evaluate the expression (-4) + 2 × (-3).
Breaking Down the Expression
Let's break down the given expression:
(-4) + 2 × (-3)
The expression consists of two parts: the first part is (-4), and the second part is 2 × (-3).
Evaluating the Multiplication
First, let's evaluate the multiplication part:
2 × (-3) = ?
To evaluate this, we need to multiply 2 by (-3). Since (-3) is a negative number, we will follow the rule of multiplication:
2 × (-3) = -6
So, the result of the multiplication is -6.
Evaluating the Addition
Now, let's evaluate the addition part:
(-4) + (-6) = ?
To evaluate this, we need to add (-4) and (-6). When adding two negative numbers, we need to add their absolute values and then prefix a negative sign to the result:
(-4) + (-6) = -(4 + 6) = -10
Therefore, the final result of the expression is -10.
Conclusion
In conclusion, the evaluated expression (-4) + 2 × (-3) equals -10. Evaluating expressions requires attention to detail and following the order of operations (PEMDAS). By breaking down the expression into smaller parts and evaluating each part correctly, we can arrive at the correct answer.