To find the unit digit in the product, we can 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.
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.
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