**How to find unit digit of square ?**

Here we are going to see how to find unit digit of a squares.

To obtain square of a number, we have to multiply that number by itself, or multiply the same number two times.

Without doing actual multiplication, we may find the unit digit of the square of a number.For that, first we have to consider the unit digit of the given number.

Let us look into the example given below to understand the above concept.

**Example 1 :**

Write down the unit digit of the following number:

78^{2}

**Solution
:**

78^{2} = 78 **⋅**** **78

To do actual multiplication, first we have to multiply the unit digit 8 and 8.

The unit digit of the product 8 and 8 will be the answer of unit
digit of 78^{2}

So, we have 8 **⋅**** **8 = 64

Here 4 is the unit digit of the product.

Hence
4 is the unit digit of the number 78^{2}.

**Example 2 :**

Write down the unit digit of the following number:

27^{2}

**Solution
:**

27^{2} = 27 **⋅**** **27

To do actual multiplication, first we have to multiply the unit digit 7 and 7.

The unit digit of the product 7 and 7 will be unit digit of 27^{2}

So, we have 7 **⋅**** **7 = 49

Here 9 is the unit digit of the product.

Hence
9 is the unit digit of the number 27^{2}.

**Example 3 :**

Write down the unit digit of the following number:

41^{2}

**Solution
:**

41^{2} = 41 **⋅**** **41

To do actual multiplication, first we have to multiply the unit digit 1 and 1.

The unit digit of the product 1 and 1 will be the unit digit of 41^{2}

So, we have 1 **⋅**** **1 = 1

Here 1 is the unit digit of the product.

Hence
1 is the unit digit of the number 41^{2}.

**Example 5 :**

Write down the unit digit of the following number:

35^{2}

**Solution
:**

35^{2} = 35 **⋅**** **35

To do actual multiplication, first we have to multiply the unit digit 5 and 5.

The unit digit of the product 5 and 5 will be the unit digit of 35^{2}

So, we have 5 **⋅** 5 = 25

Here 5 is the unit digit of the product.

Hence
5 is the unit digit of the number 35^{2}.

After having gone through the stuff given above, we hope that the students would have understood "How to find unit digit of square"

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