I want to know if it is true or false If the compounding is annual; for periods less than one year, the simple amount is less than the compound amount

The statement is true: If the compounding is annual, for periods less than one year, the simple interest amount is less than the compound interest amount. When interest is compounded annually, it means that interest is calculated and added to the principal once per year. Simple interest, on the other hand, is calculated only on the initial principal amount. For periods less than one year, the simple interest calculation does not take into account any fraction of a year. It assumes that the entire year's interest is earned, which results in a lower interest amount compared to compound interest. So, if you have a period of time less than one year, you will generally earn more interest with compound interest compared to simple interest because compound interest accounts for the gradual accumulation of interest over time within that fraction of a year.