In a series of tweets, Modi spoke about the benefits of demonetization and said the country has a "historic opportunity" to embrace increased cashless payments.
He particularly reached out to the youngsters, saying "My young friends, you are agents of change who will make India corruption free & ensure more cashless transactions."
The tweets came amid strong attack by Opposition on him over demonetization decision.
"Together, we must ensure #IndiaDefeatsBlackMoney. This will empower the poor, neo-middle class, middle class & benefit future generations," Modi added.
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"I always said that the government's measure will bring a degree of inconvenience but this short term pain will pave way for long term gains," the Prime Minister added.
He said the decision has several gains for farmers, traders, labourers, "who are the economic backbone of our nation" and "no longer will the progress and prosperity of rural India be curtailed by corruption & black money. Our villages must get their due."