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Question
What is the unit digit in the product of the first 50 odd natural numbers? Explain how.
What is the unit digit in the product of the first 50 odd natural numbers? Explain how.
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Solution
1 , 3 , 5 , 7 , ...... , 99 are first 50 odd
natural numbers.
Product of these numbers =
( 1 × 3 × 5 × 7 × .....× 99 )
= 5 × ( 3 × 7 × 9 × .....× 99 )
= 5 × odd number
= Odd number whose unit digit is 5
Therefore ,
Unit digit of first 50 odd natural
numbers is 5.
natural numbers.
Product of these numbers =
( 1 × 3 × 5 × 7 × .....× 99 )
= 5 × ( 3 × 7 × 9 × .....× 99 )
= 5 × odd number
= Odd number whose unit digit is 5
Therefore ,
Unit digit of first 50 odd natural
numbers is 5.
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