Question

Compare and put the appropriate Sign
$100002\,? \,1000002$
A. $ > $
B. $ < $
C. $ = $
D. None

Answer 1

Hint: In this particular sum the student has to first insert a comma in the given number. This is because sometimes the numbers are so close that the student might make a mistake. The first step is to compare the number of digits after the comma. If the number of digits is the same the student should start comparing the numbers before the comma from the extreme left end. The student should then move towards the right end till he doesn’t get the answer correctly.

Complete step by step solution:
In this particular sum, let us first insert the comma as per Indian rules. The numbers are as follows :
$1)1,00,002$ & $2)10,00,002$
Starting the comparison from the extreme left end. We can see that the first number is in the range of $1$ lakh, whereas the second number is in the range of $10$lakhs. So in this particular sum, we got the answer in the first step, otherwise, we would have to follow similar steps for thousands and hundreds of digits.

Answer for this particular sum is option B.$ < $.

$100002 < 1000002$

Note: This method proves to be very useful when the numbers are extremely big, i.e. more number of digits. Also whenever the sum is related to the fraction, the student should first try to make the denominators the same and then just compare the numerators. By following this method, it would become very easy for the student to compare the fractions also.