TABLE OF CONTENTS. 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. VI. Do. when the multiplier is 20, 300, &c. when the mutiplier consists of any number of IX. Division, to find how many times one number is contained in X. Division. Explanation of Fractions. Their notation. What is to be done with the remainder after division. 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 fraction by a fraction. ways to multiply, and two ways to divide a fraction. XIX. Addition and subtraction of fractions. To reduce them to a common denominator. To reduce them to lower terms. XXI. How to find the divisors of numbers. To find the greatest common divisor of two or more numbers. To reduce fractions XXII. To find the least common multiple of two or more numbers. To reduce fractions to the least common denominator. fraction, when the purpose is to find how many times the fraction and a whole number, or of two fractions. XXIV. To divide a whole number by a fraction, or a fraction by a INDEX TO PARTICULAR SUBJECTS. Page. Example. Miscellaneous examples 32 1....49 Miscellaneous examples 230 1....25 20 43....50 235 58....68 80 130..142 56 158..166 109 28....32 Square and Cubic measure. Miscellaneous Examples { Duodecimals Exchange 257 198..204 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 niany 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 |