Question

Find the value of following by observing pattern: 3246 + 9999.

Answer 1

Hint: To solve this question what we will do is we will add and subtract 1 in 9999 to get term 10000, as 10000 has maximum zeroes and it will make addition easy as any number added to 0 is number itself.

Complete step-by-step solution:
Now, in question, it is given that we have to find out the value of the sum of two four-digit numbers which are 3246 and 9999 that is we have to find the value of 3246 + 9999.
Also, it is asked to find the value by observing the pattern. So what we can do is what if we get maximum zeroes in any one of the four-digit numbers by subtracting and adding the same number to that four-digit number.
So, let s consider 9999. This number is only one less than 10000. So, if we add and subtract 1 to number 9999 it will give no change to the original value.
So, we can write 9999 as 9999 + 1 – 1 or 10000 – 1.
Here, we get maximum zeroes in one of the two numbers we have in question.
So, we can write 3246 + 9999 as 3246 + ( 10000 – 1 ).
Rewriting, 3246 + ( 10000 – 1 ) as ( 3246 – 1 ) + 10000, we get
$3245 + 10000.$
Now, it is easy to solve the summation problem as any number added to 0 is the number itself.
So, $3245 + 10000 = 13245.$
Or, the value of 3246 + 9999 by observing pattern equals to 13245.

Note: While solving the question, always try to figure out first, which number will give maximum zeroes by adding and subtracting the smallest number. Also, whatever number you add to get zeroes to try forget to subtract that number too from another number. Try to avoid calculation mistakes.