# HOW TO FIND THE UNIT DIGIT IN THE PRODUCT EXPRESSION

How to Find the Unit Digit in the Product Expression ?

In this section, we will see how to find the unit digit in the product expression.

To find the unit digit in the product, we follow the steps given below.

Step 1 :

Write the unit digit of every number involved in the product.

Step 2 :

Write the product of all unit digits.

Step 3 :

Group the unit digits involved in step 2.

Step 3 :

The unit digit of the product of the groups from step 2 is the required unit digit of the given product expression.

## Find the Unit Digit in the Product Expression - Examples

Example 1 :

What is the unit digit in the product

(684 x 759 x 413 x 676) ?

Solution :

Unit digit of 684 is 4.

Unit digit of 759 is 9.

Unit digit of 413 is 3.

Unit digit of 676 is 6.

The product of unit digits :

4 x 9 x 3 x 6

By grouping the first and second term, we get

4 x 9  =  36

By grouping the third and fourth term, we get

3 x 6  =  18

The product of unit digits of the above two groups :

6 x 8  =  48

The unit digit of 48 is '8'.

The unit digit of the product 4 x 9 x 3 x 6 is 8.

Therefore, the unit digit of the given product expression is 8.

Example 2 :

The unit digit in the product

784 x 618 x 917 x 463 is

Solution :

Unit digit of 784 is 4.

Unit digit of 618 is 8.

Unit digit of 917 is 7.

Unit digit of 463 is 3.

The product of unit digits is

4 x 8 x 7 x 3

By grouping the first and second term, we get

4 x 8  =  32.

By grouping the third and fourth term. we get

7 x 3  =  21.

The product of unit digits of the above two groups :

2 x 1  =  2

The unit digit of the product (4 x 8 x 7 x 3) is 2.

Therefore, the unit digit of the given product expression is 2. After having gone through the stuff given above, we hope that the students would understood how to find the unit digit in the product.

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