Is there any natural number n for which 4n ends with the digit 0? Give reason in support of your answer.
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Answered by
1
Answer:
Yes.
Step-by-step explanation:
Consider, n=5.
thus, 4n=4×5=20, which ends in the digit 0.
Consider n=10.
thus, 4n=4×10=40, which again ends in the digit 0.
Remember, if n is a multiple of 10, the product will always end in the digit 0. Also, if any multiple of 5 is multiplied by an even number, the product ends with the number 0.
Hence proved.
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there is no natural number n for which 4n ends with the digit zero.
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