Math, asked by vaishu4961, 1 year ago

Find the last digit in the product of any 10 consecutive 2 digit odd natural number

Answers

Answered by josimagic
2

Answer

The last digit in the product of any 10 consecutive 2 digit odd natural number  is 5

Explanation      

When we take 10 consecutive 2 digit odd natural numbers,

the last digit of all these numbers consists of 2 ones,2 threes, two fives ,two sevens, and two nines

These numbers have two numbers ending with 5.end with  all others are also end with odd numbers.

product of odd number is also end with an odd number.

When an odd number multiply with number ending with 5 we get resulting number end with 5                                                                                                      

Therefore the last digit in the product of any 10 consecutive 2 digit odd natural number  is 5

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