1/3 × 30 × 9: A Mathematical Exploration
In this article, we will delve into the world of arithmetic operations and explore the calculation of 1/3 × 30 × 9.
The Calculation
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Multiply 30 and 9: 30 × 9 = 270
- Multiply 1/3 by 270: (1/3) × 270 = 90
Therefore, the result of the calculation is 90.
Mathematical Concepts
This calculation involves three fundamental mathematical concepts:
Fractions
A fraction is a way to represent a part of a whole. In this case, 1/3 is a fraction that represents one out of three equal parts.
Multiplication
Multiplication is a basic arithmetic operation that represents repeated addition. In this calculation, we multiplied 30 and 9 to get 270, and then multiplied 1/3 by 270 to get 90.
Order of Operations
The order of operations (PEMDAS) is a set of rules that dictates the order in which arithmetic operations should be performed. It is essential to follow this order to ensure accurate calculations.
Conclusion
In conclusion, the calculation 1/3 × 30 × 9 equals 90. This calculation involves fundamental mathematical concepts such as fractions, multiplication, and the order of operations. By understanding and applying these concepts, we can solve a wide range of mathematical problems with ease.
