Question

The unit place digit of the number \((37)^2\) is:

• A. 2
• B. 3
• C. 7
• D. 9

Hint:

To find the unit digit of any number raised to a power, you only need to look at the unit digit of the base. For example, the unit digit of \((123)^2\) is the same as the unit digit of \(3^2\), which is 9.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
The unit digit of the result of a power depends only on the unit digit of the base number.
Step 2: Key Formula or Approach:
To find the unit digit of \((37)^2\), we only need to consider the unit digit of the base, which is 7. We then need to find the unit digit of \(7^2\).
Step 3: Detailed Explanation:
The base of the number is 37. The unit digit of 37 is 7.
The expression is \((37)^2\), which is \(37 \times 37\).
The unit digit of the result will be the unit digit of the product of the unit digits of the numbers being multiplied.
Unit digit of \((37)^2\) = Unit digit of \((7 \times 7)\).
\(7 \times 7 = 49\).
The unit digit of 49 is 9.
Step 4: Final Answer:
The unit place digit of the number \((37)^2\) is 9.