## How to square a number ending with 5 within seconds

Squaring a number ending in 5 is the easiest if you know the trick.

Number given to you can be a two digit number or three digit number or five or six digit number,

it does’n t matter.

The same trick can be applied to find the square of any number ending in 5.

**Let us now discuss the steps to follow**

**Step 1:**Multiply the ten’s digit of the given number with its immediate next number.This will be the 1st digit of the answer.

**Step 2:**Put 25 next to the result of step 1.

Logic behind putting 25 is that the number will always end with 5 and 5^{2} is 25.

**You get the answer**

Let us find squares of numbers ending in 5 using this trick

### Example 1:**(35)**^{2}=?

^{2}

**Step 1:** 3 is the ten’s digit in the given number 35.

Immediate next number to 3 is 4.

Hence,by multiplying 3 & 4 we get 12(3×4=12).which is the 1st digit of the answer.

**Step 2:** Now putting 25 next to 12 we get the answer as 1225.

**Answer: (35) ^{2}= 1225**

Now you try to square 25,45,15,55,65,75,85,95 & see how quickly you can square.

### Example 2:**(125)**^{2}=?

^{2}

**Step 1:** 12 is the ten’s digit in the given number 125.

Immediate next number to 12 is 13.

Hence,by multiplying 12 & 13 we get 156(12×13=156).which is the 1st digit of the answer.

[To multiply a 2digit by 2digit number when ten’s digit of both numbers is 1 you can apply a trick to get your answer quickly.

1st digit =1

middle digit =add unit’s place digit of both numbers(2+3=5)

unit’s place digit=Multiply unit place digit of both numbers(2×3=6)]

**Step 2:** Now putting 25 next to 156 we get the answer as 15625.

Ans **(125) ^{2}**= 15625

Now you try to square 105,115,135,145,155,165,175,185,195 & see how quickly you can square.