Evaluating the Expression: (1/2 x 12 x 4) + (1/2 x 8 x 4)
In mathematics, evaluating expressions is an essential skill to master. In this article, we will guide you through the step-by-step process of evaluating the expression (1/2 x 12 x 4) + (1/2 x 8 x 4)
.
Evaluating the Expression
To evaluate the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses
First, let's evaluate the expressions inside the parentheses:
(1/2 x 12 x 4)
- Multiply 1/2 and 12:
1/2 x 12 = 6
- Multiply 6 by 4:
6 x 4 = 24
So, (1/2 x 12 x 4) = 24
(1/2 x 8 x 4)
- Multiply 1/2 and 8:
1/2 x 8 = 4
- Multiply 4 by 4:
4 x 4 = 16
So, (1/2 x 8 x 4) = 16
Add the Results
Now, add the results of the two expressions:
24 + 16 = 40
Therefore, the final result of the expression (1/2 x 12 x 4) + (1/2 x 8 x 4)
is 40.
Conclusion
In this article, we demonstrated the step-by-step process of evaluating the expression (1/2 x 12 x 4) + (1/2 x 8 x 4)
. By following the order of operations and evaluating the expressions inside the parentheses first, we arrived at the final result of 40.