How we cite our quotes: (Sentence number)
Quote #1
It is necessary that the reopening of banks be extended over a period in order to permit the banks to make applications for the necessary loans, to obtain currency needed to meet their requirements, and to enable the Government to make common sense checkups. (37)
The banks had been closed for several days, and people were more than antsy to go withdraw cash. FDR tries to encourage Americans to persevere and remain patient, with the end goal of not having the same bank runs and panics that the country had just experienced.
Note the word choice of "common sense"—by using this phrase, Roosevelt is sending the message that these checks need to happen, and that the slow openings of banks is justified.
Quote #2
I know that many people are worrying about State banks that are not members of the Federal Reserve System. There is no occasion for that worry. (40)
Reassurance and confidence. Remember, the Federal Reserve Banks (in twelve major cities) were opening first, followed by small banks over the next few days. Roosevelt doesn't want people to panic that their non-Fed bank would never open, so he's being clear and straightforward about the process. The more calm people feel, the easier it is to persevere and wait another day or two.
Quote #3
It has been wonderful to catch the note of confidence from all over the country. (66)
Whether Roosevelt actually heard average Americans expressing this confidence or not, by referencing it he is thanking the country for persevering and staying patient. He's implying that things are getting better, and he's attributing the success to the "hang tough" attitude of Americans. Again, it's much easier to persevere through hard times if you feel confident that life is about to get better.