TABLE OF CONTENTS. (This Table equally refers to Parts I. and II.) III. Multiplication, when the multiplier is a single figure. IV. Compound numbers, factors, and multiplication, when the multi- V. Multiplication, when the multiplier is 10, 100, 1000, &c. IX. Division, to find how many times one number is contained in X. Division. Explanation of Fractions. Their Notation. What is XI. Division, when the divisor is 10, 100, &c. XII. To find what part of one number another is, or to find the ratio XIII. To change an improper fraction to a whole or mixed number. XIV. To change a whole or mixed number to an improper fraction. XV. To multiply a fraction by a whole number, by multiplying the XVI. Division, to divide a number into parts. To multiply a whole XVII. To divide a fraction by a whole number. To multiply a frac- XVIII. To multiply a fraction by dividing the denominator. Two XIX. Addition and subtraction of fractions. To reduce them to XXI. How to find the divisors of numbers. To find the greatest com mon divisor of two or more numbers. To reduce fractions to XXII. To find the least common multiple of two or more numbers. XXIII. To divide a whole number by a fraction, or a fraction by a XXIV. To divide a whole number by a fraction, or a fraction by a fraction; a part of a number being given to find the whole. This is on the same principle as that of dividing a number into XXV. Decimal Fractions. Numeration and notation of them. XXVI. Addition and Subtraction of Decimals. To change a common .... Measure of circles, parallelograms, triangles, &c. ARITHMETIC. PART I. ADDITION. THE student may perform the following examples in his mind. 1. James has 3 cents and Charles has 5; how many have they both? 2. Charles bought 3 bunns for 16 cents, a quart of cherries for 8 cents, and 2 oranges for 12 cents; how many cents did he lay out? 3. A man bought a hat for 8 dollars, a coat for 27 dollars, a pair of boots for 5 dollars, and a vest for 7 dollars; how many dollars did the whole come to ? 4. A man bought a firkin of butter for 8 dollars, a quarter of veal for 45 cents, and a barrel of cider for 3 dollars and 25 cents; how much did he give for the whole? 5. A man sold a horse for 127 dollars, a load of hay for 15 dollars, and 3 barrels of cider for 12 dollars; how much did he receive for the whole? ་ 6. A man travelled 27 miles in one day, 15 miles the next day, and 8 miles the next; how many miles did he travel in the whole ? 7. A man received 42 dollars and 37 cents of one person, 4 dollars and 68 cents of another, and 7 dollars and 83 cents of a third; how much did he receive in the whole ? 8. I received 25 dollars and 58 cents of one man, 45 dollars and 83 cents of another, and 8 dollars and 39 cents of a third; how much did I receive in the whole ? The two last examples may be performed in the mind, but they will be rather difficult. A more convenient method will soon be found. 5. One hundred. 6. One hundred and one. 7. One hundred and ten. 8. Three hundred and eleven. 9. Five hundred and seventeen. 10. Eight hundred and fifty. 11. Nine hundred and eighty-six. 12. One thousand and one. 13. One thousand and ten. 14. Three thousand, one hundred and one. 15. Five thousand and sixty. |