Question

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554?
A. 5
B. 6
C. 7
D. None of these

Answer 1

Hint: Decimal comes into play when any fraction needs to be solved, its multiplication is the same that for general numbers. Here just we have to put the decimal on the exact place where it needs to be placed once we obtained the result of the product for the given number. In the above question we are not asked to solve the product only the position of decimal is asked for.

Complete step-by-step answer:
The given question is to solve for the position of decimal obtained after the product of two given numbers.
Here we have known the principle of placing a decimal number after the product of two decimal numbers or one decimal number and one without decimal number. The principle is to count the total numbers after the decimal for the given numbers, if both the numbers are in decimal form then count for both the numbers and add the total counted numbers, the result we get will give the position of the decimal counting from the right to left.
On solving we get:
\[
    for\,the\,nuber\,95.75,\,position\,of\,decimal\,is\,after\,2\,numbers \\
    for\,the\,nuber\,0.2554,\,position\,of\,decimal\,is\,after\,4\,numbers \\
    adding\,both\,the\,positions\,of\,the\,decimal\,\,we\,get: \\
   \Rightarrow 2 + 4 = 6 \\
    that\,means\,the\,position\,of\,decimal\,\operatorname{in} \,the\,product\,of\,the\,two\,numbers\,will\,be\,sixth\,counting\,from\,right\,to\,left \\
 \]
Position of the decimal is sixth from right to left counting.
So, the correct answer is “Option B”.

Note: Position of decimal is simply counted and placed in the result for a product of two numbers, when it comes to addition then the position of decimal is fixed according to its position in fixed according to the number which contain more decimal places.