Final answer:
The perfect square numbers from the given list are 1, 4, 9, 16, 36, 0.04, 121, 0.01, and 225. These numbers can be expressed as the product of an integer with itself.
Step-by-step explanation:
A perfect square is a number that can be expressed as the product of an integer with itself. In the given list of numbers, we want to identify which numbers are perfect squares.
- 1 (1x1)
- 4 (2x2)
- 9 (3x3)
- 16 (4x4)
- 36 (6x6)
- 0.04 (0.2x0.2)
- 121 (11x11)
- 0.01 (0.1x0.1)
- 225 (15x15)
Each of these numbers is a product of an integer multiplied by itself, which is why they are considered perfect squares.
To identify perfect square numbers, you can sometimes perform mental math, like recognizing that 4, 9, 16, etc., fit the pattern of a number times itself.
For decimal numbers like 0.04 and 0.01, remember that squaring a decimal number that is a perfect square will also result in a perfect square.