Evaluating the Mathematical Expression: 1/3 x π x 12² x 16
In this article, we will evaluate the mathematical expression: 1/3 x π x 12² x 16. This expression involves multiplication, exponentiation, and the use of π (pi) as a constant.
Breaking Down the Expression
Let's break down the expression into smaller components to make it easier to evaluate:
- 1/3: a fraction
- π (pi): a mathematical constant approximately equal to 3.14
- 12²: 12 squared, or 12 multiplied by itself
- 16: an integer
Evaluating the Expression
To evaluate the expression, we need to follow the order of operations (PEMDAS):
- Evaluate the exponentiation: 12² = 12 × 12 = 144
- Multiply 1/3 by π: 1/3 × π ≈ 1.047
- Multiply the result by 144: 1.047 × 144 ≈ 151.21
- Multiply the result by 16: 151.21 × 16 ≈ 2423.36
Final Answer
The final answer is approximately 2423.36.
In conclusion, evaluating the mathematical expression 1/3 x π x 12² x 16 requires following the order of operations and performing the necessary calculations. The final answer is approximately 2423.36.
