Squaring Tricks

Squaring Number between 90-99

STEP 1. Calculate difference between the given number and 100.

STEP 2. Subtracting the output of STEP 1 tothe given number which gives the left hand side answer.

STEP 3. Square the output of STEP 1 which gives the right hand side answer.[Note that STEP 3 has to take up 2 digit. Suppose STEP 1 output is 2 then RHS answer is 04.]

Lets see some examples:

Note : we need to carry over the number preceding the 10's digit, to the immediate left part , and add it there respectively.

Example 1: Find out square of 92.

STEP 1. 100 - 92 =8

STEP 2. 92 - 8 = 84 [LHS ANSWER]

STEP 3. $8^2 = 64 $ [ RHS ANSWER]

STEP 4. Combining the STEP 2 and STEP 3 together we will get our final result i.e 8464

Example 2: Find out square of 97.

STEP 1. 100 - 97 =3

STEP 2. 97 - 3 = 94 [LHS ANSWER]

STEP 3. $3^2 = 09 $ [ RHS ANSWER]

STEP 4. Combining the STEP 2 and STEP 3 together we will get our final result i.e 9409

Example 3: Find out square of 90.

STEP 1. 100 - 90 =10

STEP 2. 90 - 10 = 80 [LHS ANSWER]

STEP 3. $10^2 = 100 $ [ 00 is the RHS ANSWER and carry 1.]

STEP 4. Combining the STEP 2 and STEP 3 together we will get our final result i.e 8100