### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 Definitions 13 Subtraction 44 Multiplication 54 Definition of c 844 78 Properties of Numbers 103 Least Common Multiple 109 Multiplication of Common Fractions 145148 145 Complex Fractions 152
 Partial Payments 253 Discount 260 Stocks 267 Life Insurance 273 Annuities 279 Alligation 295 Customhouse Business 302 General Average 308

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 177 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
сЕКъДА 215 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
сЕКъДА 145 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
сЕКъДА 109 - The Least Common Multiple of two or more numbers is the least number which is a multiple of each of them; thus, 12 is the least common multiple of 2, 3, and 4.
сЕКъДА 326 - Multiply the divisor, thus increased, by the last figure of the root; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5. Double the whole root already found for a new divisor, and continue the operation as before, until all the periods are brought down.
сЕКъДА 123 - If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed.
сЕКъДА 124 - To reduce a whole number to a fraction having a given denominator. 1. Reduce 37 to an equivalent fraction whose denominator shall be 5.
сЕКъДА 127 - RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought. EXAMPLES. 1. Reduce V to its equivalent number. 3)12(4 Answer. 12 2. Reduce y to its equivalent number. 7)15(2| Answer. 1 ^ to its equivalent number An?.
сЕКъДА 419 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
сЕКъДА 130 - Multiply each numerator by all the denominators except its own, for the new numerators ; and all the denominators together for A COMMON denominator. NOTE 1.