Final answer:
When multiplying 89.635 by .02218, we add the number of decimal places in both numbers to determine the number of decimal places in the product, which is eight.
Step-by-step explanation:
The number of digits to the right of the decimal point in a product of two numbers depends on the number of decimal places in the numbers being multiplied. To determine the number of decimal places in the product, you simply add the number of decimal places in the multiplicands.
In our example, 89.635 has three decimal places, and .02218 has five decimal places. Adding these together, 3 + 5, we get a total of eight decimal places to the right of the decimal in the product.
To determine the number of digits to the right of the decimal point in the product of 89.635 and .02218, we need to count the total number of decimal places in both numbers and multiply them together.
89.635 has 3 decimal places and .02218 has 5 decimal places, so multiplying them together gives us 3 * 5 = 15 decimal places. Therefore, the correct answer is d. 15.