**Multiplicative Identity for Integers**

The multiplicative identity for integers is the number which, when multiplied by any integer, results in the original integer. In other words, it is the number that leaves any integer unchanged when multiplied by it.

The multiplicative identity for integers can be represented by the number 1.

**Explanation:**

When we multiply any integer by 1, the result is always the original integer. For example,

- 7 x 1 = 7
- (-5) x 1 = -5
- 0 x 1 = 0

No matter what integer we choose, multiplying it by 1 will always give us the same integer.

**Properties of Multiplicative Identity:**

The multiplicative identity has some important properties:

1. **Identity Property**: The multiplicative identity is often referred to as the identity element because it preserves the identity of other numbers when they are multiplied.

2. **Unique Property**: The multiplicative identity is unique, meaning there is only one number that can act as the multiplicative identity for all integers. In the case of integers, this number is 1.

3. **Closure Property**: The closure property of multiplication states that when two integers are multiplied, the result is always an integer. The multiplicative identity, being an integer, also follows this property.

**Conclusion:**

In conclusion, the multiplicative identity for integers is 1. When any integer is multiplied by 1, the result is always the original integer. This property is known as the identity property of multiplication, and the number 1 is the unique number that satisfies this property for all integers.