Final answer:
The correct placement of the decimal point in the product of 750 and 0.78 is two places to the left from the end of 58500, resulting in 585.00, or simply 585.
Step-by-step explanation:
The student's question involves the multiplication of a whole number with a decimal and asks for the correct placement of the decimal point in the product. When we multiply 750 by 0.78, the product given, 58500, is missing the decimal point. To correct this, we take into account the number of decimal places in the original numbers being multiplied. In this case, 0.78 has two decimal places. Therefore, we must place the decimal point in the product such that it has the same number of decimal places. The correct product is 585.00 or simply 585 if we drop the unnecessary trailing zeros.
To place the decimal point correctly, we will move the decimal two places to the left starting from the far right of 58500, which gives us 585.00. Hence, 750 multiplied by 0.78 equals 585.