When -1 is multiplied by itself 100 times, the product is:

Options

A. 1
B. `-1`
C. 100
D. `-100`

Answer

To solve the problem of multiplying -1 by itself 100 times, we can follow these steps:

### Step 1: Understand the operation
When we multiply -1 by itself, we need to consider the rules of multiplication involving negative numbers.

### Step 2: Identify the pattern
Let's look at the first few multiplications:
- (-1) × (-1) = 1 (the product of two negative numbers is positive)
- (-1) × (-1) × (-1) = -1 (the product of three negative numbers is negative)
- (-1) × (-1) × (-1) × (-1) = 1 (the product of four negative numbers is positive)

From this, we can observe a pattern:
- If we multiply -1 an even number of times, the result is 1.
- If we multiply -1 an odd number of times, the result is -1.

### Step 3: Apply the pattern to 100 multiplications
Since 100 is an even number, we can conclude:
(-1) multiplied by itself 100 times will yield 1.

### Final Answer:
The product of -1 multiplied by itself 100 times is **1**.

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