(1/2 X 12 X 4) + (1/2 X 8 X 4)

Suzhoumeite

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Jun 10, 2024

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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):

1. 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.