Without finding the squares , find the units digit in the square of the following number 9377

To determine the units digit of the square of a number without calculating the entire square, we only need to focus on the units digit of the number itself.

### Step 1: Identify the units digit of the number.
For the number 9377, the units digit is **7**.

### Step 2: Determine the units digit of the square of this digit.
Now, let's find the units digit of \(7^2\):

\[
7^2 = 49
\]

The units digit of 49 is **9**.

### Conclusion:
The units digit of the square of 9377 is **9**.

Would you like more details or have any questions? Here are five related questions you might consider:

1. What is the units digit of the square of 1234?
2. How can you determine the last two digits of the square of a number?
3. What is the pattern of units digits when squaring any single-digit number?
4. How would you find the units digit of the square of a negative number, like -9377?
5. How does the units digit change when cubing instead of squaring a number?

**Tip:** When working with large numbers, focusing on just the units digit can simplify many arithmetic problems.

Discover how to find the units digit of the square of 9377 without calculating the entire square. This problem involves applying the units digit rule for squares and understanding modular arithmetic concepts. Suitable for students in Grades 6-8.

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