9.64 x 12
a. 11.568
b 121.64
c 115.2
d. 115.68
The correct answer and explanation is:
The correct answer is d. 115.68.
Explanation:
To solve the multiplication of 9.64 and 12, you can follow these steps:
- Multiply the numbers as if they were whole numbers:
Ignore the decimal points temporarily and multiply 964 by 12. 964×12=11568964 \times 12 = 11568 - Account for the decimal places:
When you multiply 9.64 by 12, 9.64 has two decimal places. Therefore, after you complete the multiplication, you must place the decimal point in the product, counting two decimal places from the right. The result of 11568 needs to be divided by 100 to adjust for the two decimal places: 11568100=115.68\frac{11568}{100} = 115.68
Thus, 9.64 multiplied by 12 equals 115.68.
Understanding the decimal places is key when performing multiplication with decimals. The overall process involves treating the numbers as integers first, then adjusting the decimal point based on the number of decimal places in the factors.