### Фй лЭне пй чсЮуфет -Уэнфбоз ксйфйкЮт

Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### Ресйечьменб

 Definitions 13 Formation and Nature of Numbers 24 Reduction 3034 30 Subtraction 4454 44 Multiplication 5468 54 Division 6887 68 Practice 8790 87 Applications in the Four Rules 94103 94
 Double Rule of Three 221225 221 Percentage Defined and Illustrated 231236 231 Profit and Loss 237241 237 Interest 245253 245 Partial Payments 253256 253 Discount 260261 260 Stocks 267272 267 Insurance 273275 273

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 155 - 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.
УелЯдб 123 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
УелЯдб 9 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
УелЯдб 91 - Divide the less number by the remainder, the last divisor by the last remainder, and so on, till nothing remains. The last divisor will be the greatest common divisor sought.
УелЯдб 449 - In the lower numbers the maps avoid unnecessary detail, while respectively progressive, and affording the pupil new matter for acquisition each time he approaches in the constantly enlarging circle the point of coincidence with previous lessons in the more elementary books.
УелЯдб 308 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
УелЯдб 304 - 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.
УелЯдб 258 - RULE. Divide the given sum by the amount of \$1. for the given rate and time ; and the quotient will be the present worth.
УелЯдб 101 - If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed.
УелЯдб 87 - 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.