3. A man owes Ezekiel Dorsey $6374.18 cts.; to B. M'Donough $4397.65 cts.; to John E. Stansbury $9365 94 cents, and to the Merchants' Bank $7986.44 cents; how much does he owe all? Ans. $28124.21. 4. A man bought a barrel of flour for $5.75, a barrel of molasses for $29.00, and a barrel of rum for $36.00; how much did he pay for all the articles. Ans. $70.75. 5. From the creation of the world to the flood, was 1656 years; from thence to the building of Solomon's Temple, 1340 years; thence to the birth of our Saviour, 1008 years. In what year of the world was the birth of Christ? Answer. Anno Mundi, (in the year of the world) Q. How are we to place figures in addition? A. Units, under units, tens under tens, hundreds under hundreds, thousands under thousands, &c. LECTURE III. ON MULTIPLICATION. Q. What is multiplication? A. Multiplication is a concise way of performing extensive ADDITIONS; because, to multiply, is to increase one number by another, as often, as there are units, in that number, by which the one is increased. Q. How many parts has it? A. THREE; the Multiplier, Multiplicand and the Rectangle or Product. Q. Which number is the multiplier? A. The number you multiply by. The reader will find, that the MULTIPLICATION Table, in this work, is different from the common form, and, that, the system, now, being introduced, for teaching the elements of figures, in multiplication, leads to great improvement in mental researches. Inasmuch as, it unites THEORY with PRACTICE; for, although, multiplication in itself, is simple, its minor variations are endless. Because, the relative value of figures, connected with the workings, of thought, adapt themselves, to every imaginable form, and run into each other, by such nice gradations, as are only obvious, to the keenest observations of philosophy; and yet all this amazing system of intellectual improvement, depends, on the combinations of nine figures, with a cipher, called, the nine digits. 1 5 6 times 6 7 times 1 7 8 times 2 3 2 4 5 6 7 8 9 2 2 2 2 2 2 1 18 468 | 10 | 12 | 14 | 16 5 | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 5 | 9 4 5 ; 6 「 6 6 」 36 | 42 | 48 | 54 6 9 7 A. It is a term in multiplication when one number, is contained in another several times; as, 15 is the multiple of 3. Containing it 5 times. Q. What is the multiple of 24? A. 4, 6, 8, &c. Q. How can the product of two numbers be expressed in multiplication? A. As 3 x 5 15 product. = Q. In this case, which is the multiplicand? Mode of reciting the Table.-The learner should be taught to recite thus: beginning with 2 ce-2 ce 1 are 2, 1, or once, 2 are 2; 2 ce 2 are 4, and repeat, 2 ce 2 are 4; 2 ce 3 are 6, vice versa, 3 times 2 are 6; 2 ce 4 are 8, 4 times 2 are 8; 2 ce 5 are 10, 5 times 2 are 10; 2 ce 6 are 12, 6 times 2 are 12; 2 ce 7 are 14, 7 times 2 are 14; 2 ce 8 are 16, 8 times 2 are 16; 2 ce 9 are 18, 9 times 2 are 18. .Again, begin with 3 times, 3 times 2 are 6, 2 ce 3 are 6; three times 3 are 9. Repeat, 3 times 3 are 9, 3 times 4 are 12, 4 times three are 12, and so on, alternately. SYSTEM OF TEACHING. Let the teacher procure 8 sets of ‘circular digits,' as above represented, numbered agreeably to the form of the multiplication table. |