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- plier is a compound number. V. Multiplication, when the multiplier is 10, 100, 1000, &c. VI. Do. when the multiplier is 20, 300, &c. VII. Do. when the multiplier 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. X1. Division, when the divisor is 10, 100, &c. XII. To find what part of one number another is, or to find the ratio of one number to another. 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 wholo XVII. To divide a fraction by a whole number. To multiply a frac- XVIII. To multiply a fraction by dividing the denominator. Two ways to multiply, and two ways to divide, a fraction. common denominator. To reduce them to lower ternis XXI. How to find the divisors of numhers. To find the grea mun divisor of two or more numbers To reduce fra XXII. To find the least common multiple of two or more To reduce fractions to the least common denominator. fiuction, when the purpose is to find how many times and a wholo number, or of two fractions. fraction; a part of a number being given to find the pa.ts. fraction to a decimal. XXVII. Multiplication of Decimals. XXIX. Circulating Deciinals. Proof of multiplicacion and division by casting out 8. jon. in by a whole numbor. To multiply a fraco action by dividing the denominator. Two Compound Multiplication Allifirion Disisiun Barter Loss and Gain Fellowship, Simple . . 215 58....68 78 130..142 34....38 85....86 Bquare and Cubic Measure. Miscellaneous Examples Duodecimals ICULAR SUBJECTS ARITHMETIC. PART I. Pago. Example llaneous examples 37 laneous eramples 211 1... ADDITION. The student may perform the following example mind. 1. James has 3 cents and Charles has 5; how m they both ? 2. Charles bought 3 bunns for 16 cents, a quart ries for 8 cents, and 2 oranges for 12 cents ; how ma did he lay out ? 3. A man bought a hat for 8 dollars, a coat for 2 a pair of boots for 5 do'lars, and a vest for 7 dulla many dollars did the whole come to ? 4. A man bought a firkin of butter for 6 dollars, of vcal for 45 cents, and a barrel of cider for 3 dullas cents; how much did he give for the whole ? 5. A man sold a horse foor 127 dollars, a load of h dolars, and 3 barre!s of cider for 12 dollars ; how he receive for the whole ? 6. A man travelled 27 miles in one day, 15 miles day, and 8 miles the next ; how many miles did he the whole ? 7. A man received 42 dollars and 37 cents of one 4 dollars and 68 cents of another, and 7 dollars and of a third ; how much did he receive in 1!:e whole ! 8. I received 25 dollars and 58 cents of urie man lars and 83 cents of another, and 8 dollars and 39 c third; how much did I receive in the whole ? The two last examples may be performed in the they will be rather difficult. A more convenient will soon be found. 29 43....50 99 65..113 104 43...74 215 58...68 78 130..142 224 110..113 30 102..106 43 34....38 103 33....41 314 52...57 58 108..JG6 65....86 87....92 202 103..109 218 61... 218 73....81 ng 1...49 teous Examples 91 56.64 101 13....26 103 28....32 . 233 181..187 ns. 234 188..148 ngles, &a NUMERATION. 1. Write in words the following numbers. 1 27/24 10 000 2 85125 20,10 3 58126 50,705 4 63/27 67,083 5 7023 309,050 6 84 29 470,099 7 96 30 707,720 8 100131 1,001,370 303 32 5,600,073 10 110/33 8,081,305 11 11:34 59,006,341 12 127135 305,870,400 13 305 36 7.7 590,047,608 14 520,37 1,000,000,000 15 7:51:38 3,670,07020,387 16 1,000139 45,007,070,007 17 1,001 40 680,930,100,700 18 1,010 41 50,787,6-57,000,500 19 1,100 4:2 270,060,8:38,00;3,908 20 1,018 43 68,907,605 21 2,107|44 56,000,034,750 3 2:50 45 6,703,720,000,857 23 5,790 Write in figures the following numbers. 1. Thirty-four. 2. Fifty-seven. 3. Sixty-three. 4. Eighty. 5. One hundred. 6. One hundred and one. 7. One hundred and ten. 8. Three hundred and eleren. 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. |