How do you multiply 12×12 step by step?
The Correct Answer and Explanation is :
To multiply (12 \times 12) step by step, you can use the standard multiplication method, which involves breaking down the numbers into manageable parts. Here’s how to do it:
Step 1: Set Up the Problem
Write the numbers in a vertical format, aligning them by place value:
12
× 12
------Step 2: Multiply the Units
Start with the bottom number’s units place (the rightmost digit of the bottom number, which is 2). Multiply it by the top number (12):
- (2 \times 12 = 24)
Write down the result below the line, ensuring to keep the units aligned:
12
× 12
------
24 (this is 2 × 12)Step 3: Multiply the Tens
Next, take the bottom number’s tens place (the left digit, which is also 1) and multiply it by the top number (12). Since this digit represents ’10’ (not just 1), we actually multiply (1 \times 12) and then shift it one place to the left:
- (1 \times 12 = 12), but since it’s in the tens place, write this as 120.
Add this result below the previous multiplication:
12
× 12
------
24
+ 120 (this is 1 × 12, shifted left)Step 4: Add the Results
Now, add the two results together:
24
+ 120
------
144Conclusion
Thus, the product of (12 \times 12) is (144).
Explanation of the Multiplication Process
Multiplication is essentially repeated addition. When we multiply two numbers, we are finding the total of one number added to itself as many times as indicated by the other number. In this case, multiplying (12) by (12) can also be seen as adding (12) together (12) times. The breakdown method not only simplifies the multiplication but also reinforces the understanding of place value, as we handle each digit of the numbers separately. Understanding multiplication this way provides a solid foundation for more complex arithmetic operations and enhances number sense.