### Java Math multiplyFull() Method

The `Math.multiplyFull()` method in Java is used to return the exact mathematical product of two `int` arguments as a `long`.

1. Introduction
2. `multiplyFull()` Method Syntax
3. Examples
• Basic Usage
• Using `multiplyFull()` with Different Values
4. Real-World Use Case
5. Conclusion

## Introduction

The `Math.multiplyFull()` method provides a way to multiply two `int` values and return their exact mathematical product as a `long` value. This method is useful in scenarios where the product of two `int` values might exceed the range of an `int` and requires the precision of a `long`.

## multiplyFull() Method Syntax

The syntax for the `multiplyFull()` method is as follows:

``````public static long multiplyFull(int x, int y)
``````

### Parameters:

• `x`: The first value to multiply.
• `y`: The second value to multiply.

### Returns:

• The exact mathematical product of the two `int` arguments as a `long`.

## Examples

### Basic Usage

To demonstrate the basic usage of `multiplyFull()`, we will calculate the product of a few `int` values.

#### Example

``````public class MultiplyFullExample {
public static void main(String[] args) {
int value1 = 20000;
int value2 = 30000;

long result = Math.multiplyFull(value1, value2);

System.out.println("The product of " + value1 + " and " + value2 + " is " + result);
}
}
``````

Output:

``````The product of 20000 and 30000 is 600000000
``````

### Using `multiplyFull()` with Different Values

You can use the `multiplyFull()` method with various `int` values to calculate their products.

#### Example

``````public class MultiplyFullDifferentValuesExample {
public static void main(String[] args) {
int[] values1 = {10000, 20000, 30000};
int[] values2 = {40000, 50000, 60000};

for (int i = 0; i < values1.length; i++) {
long result = Math.multiplyFull(values1[i], values2[i]);
System.out.println("The product of " + values1[i] + " and " + values2[i] + " is " + result);
}
}
}
``````

Output:

``````The product of 10000 and 40000 is 400000000
The product of 20000 and 50000 is 1000000000
The product of 30000 and 60000 is 1800000000
``````

## Real-World Use Case

### Calculating Large Products

In real-world scenarios, the `Math.multiplyFull()` method can be used to calculate large products that may exceed the range of `int`. This is useful in applications such as financial calculations, scientific computations, and any other scenarios where precision is crucial.

#### Example

``````public class LargeProductCalculationExample {
public static void main(String[] args) {
int pricePerUnit = 25000; // Price per unit in cents
int quantity = 40000;     // Number of units

// Calculate the total price
long totalPrice = Math.multiplyFull(pricePerUnit, quantity);

System.out.println("The total price is " + totalPrice + " cents");
}
}
``````

Output:

``````The total price is 1000000000 cents
``````

## Conclusion

The `Math.multiplyFull()` method in Java provides a way to multiply two `int` values and return their exact mathematical product as a `long` value. By understanding how to use this method, you can perform precise multiplication operations and handle large products in your Java applications.

Whether you are working with financial calculations, scientific computations, or any other scenarios that require precision, the `multiplyFull()` method offers a reliable tool for determining the exact product of two `int` values.