What is 35.6 multiplied by 4.9.
The correct answer and explanation is:
The product of 35.6 and 4.9 is 174.44.
To understand this calculation, let’s break it down into steps:
- Ignore the decimal points: Start by multiplying the numbers as if they were whole numbers. That means multiplying 356 by 49. 356 × 49 = 17,444
- Count the decimal places: The numbers 35.6 and 4.9 each have one decimal place. Therefore, you need to adjust the product by two decimal places.
- Adjust for the decimals: To adjust the result of 17,444 for the two decimal places, move the decimal point two places to the left. 17,444 becomes 174.44.
Thus, 35.6 multiplied by 4.9 equals 174.44.
This method follows basic principles of multiplication, where you first work with whole numbers and then adjust for the decimal places. It’s important to always count how many decimal places each factor has to ensure the final answer is accurate. Multiplication of decimals can be tricky, but with this approach, you can handle any decimal multiplication problem effectively.