Shortcut to square any number from 90 to 99 is one of my favorite that I like to apply when I see a number such as 98 or 99 as all I need to know is how to subtract and square of numbers from 1 to 9.

Now lets go through the steps

**Step 1:**Assume 100 as base and find the difference between the number to be squared and 100.

**Step 2:**Subtract the difference in step 1 from the number to be squared to find tenth place digit.

**Step 3:**Square the difference and place it next to step 2.

Once you know the technique you can square any number from 90 to 99 mentally.

## Examples

Let us see few examples to understand better

**Example 1:** 98²=?

**Step 1:**Assuming 100 as base, we shall find the difference

100-98=2

We get the difference as 2

**Step 2:**Subtracting the difference(2) from the number to be squared(98) we get,

98-2=96

96 is the tenth place digit

**Step 3:**Squaring the difference we found in step 1 we get

2²=4

4 is the Unit place digit.

**Ans 98²=9604**

**Example 2:** 99²=?

**Step 1:**Assuming 100 as base, we shall find the difference between the number to be squared(99) and 100.

100-99=1

We get the difference as 1

**Step 2:**Subtracting the difference(2) from the number to be squared(98) we get,

99-1=98

98 is the tenth place digit

**Step 3:**Squaring the difference we found in step 1 we get

1²=1

1 is the Unit place digit.

**Ans 99²=9801**

**Example 3:** 97²=?

**Step 1:**Assuming 100 as base, we shall find the difference between the number to be squared(97) and 100.

100-97=3

We get the difference as 3

**Step 2:**Subtracting the difference(3) from the number to be squared(97) we get,

97-3=94

94 is the tenth place digit

**Step 3:**Squaring the difference we found in step 1 we get

3²=9

9 is the Unit place digit.

**Ans 97²=9409**

**Example 4:** 96²=?

**Step 1:**Assuming 100 as base, we shall find the difference between the number to be squared(96) and 100.

100-96=4

We get the difference as 4

**Step 2:**Subtracting the difference(4) from the number to be squared(96) we get,

96-4=92

92 is the tenth place digit

**Step 3:**Squaring the difference we found in step 1 we get

4²=16

16 is the Unit place digit.

**Ans 96²=9216**

**Example 5:** 94²=?

**Step 1:**Assuming 100 as base, we shall find the difference between the number to be squared(94) and 100.

100-94=6

We get the difference as 6

**Step 2:**Subtracting the difference(4) from the number to be squared(96) we get,

94-6=88

88 is the tenth place digit

**Step 3:**Squaring the difference we found in step 1 we get

6²=36

36 is the Unit place digit.

**Ans 94²=8836**