To determine the unit's place of a square of a number ending in '7', we can start by considering the process of squaring a number. Let's take an example and calculate the square of a number ending in '7', such as 7.
When we square 7, it results in:
7 2 = 49
The unit's place of 49 is '9'.
This is a general trait for numbers ending in 7:
1 7 2 = 289
The unit's place is '9'.
2 7 2 = 729
The unit's place is '9'.
You can see the pattern in these examples. The unit's digit of the square of a number ending with '7' is always '9'.
Therefore, the correct answer to the question "A number ending in '7' will have the unit's place of its square as:" is:
(2) 9
This means that the square of any number ending in '7' will have '9' as its unit digit.