9.64 x 12 =
a. 11.568
b. 21.64
c. 115.2
d. 115.68
The correct answer and explanation is:
The correct answer is d. 115.68.
To understand how to perform the multiplication, let’s break it down step-by-step:
We are tasked with multiplying 9.64 by 12. The decimal multiplication process is similar to whole number multiplication, but we need to account for the decimal places in the numbers involved.
First, treat both numbers as whole numbers. Multiply 964 by 12. 964×12=11,568964 \times 12 = 11,568
Now, consider the decimal places in the original numbers. 9.64 has two decimal places. When multiplying, you need to adjust the product by placing the decimal point two places from the right to maintain the precision of the original numbers.
So, starting with 11,568, move the decimal point two places to the left: 11,568→115.6811,568 \rightarrow 115.68
Thus, the final result is 115.68.
This approach ensures that the multiplication of decimals is accurate and preserves the correct number of decimal places in the product.