Answer :
To solve the multiplication problem 36.6 \times 70, follow these steps:
Understand the numbers: We have two numbers, 36.6 (a decimal number) and 70 (a whole number).
Basic multiplication: Ignore the decimal point initially and multiply 366 by 70.
[tex]366 \times 70 = 366 \times (7 \times 10)[/tex]
Multiply by 7 and 10 separately:
First, multiply 366 by 7:
[tex]366 \times 7 = 2562[/tex]
Then, multiply the result by 10:
[tex]2562 \times 10 = 25620[/tex]
Adjust for the decimal place: Since the original number 36.6 has one decimal place, divide your result by 10 (or move the decimal one place to the left):
[tex]25620 \div 10 = 2562.0[/tex]
Therefore, the answer to 36.6 multiplied by 70 is 2562.0.
By following these steps, you ensure that the decimal is appropriately handled and arrive at the correct product.