# Arithmetic, theoretical and practical. [With] Key

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### Contents

 NOTATION AND NUMERATION 1 SIMPLE ADDITION 8 REDUCTION OF COMPOUND NUMBERS 44 COMPOUND ADDITION 50 INVOICES 74 VULGAR FRACTIONS 80 PRACTICE 97 MENTAL ARITHMETIO 119
 INSURANCE 181 128 189 SHARES STOCKS 195 133 198 EQUATION OF PAYMENTS 201 SCALES OF NOTATION 209 SERIES 223 COMPOUND INTEREST 227

 SIMPLE PROPORTION IN FRACTIONS 133 DECIMAL FRACTIONS 135 COMMERCIAL ALLOWANCES 159 DISCOUNT 175 109 178
 EXCHANGE 246 ALLIGATION 252 MISCELLANEOUS QUESTIONS i i 262 TABLES OF COMPOUND INTEREST AND ANNUITIES 269

### Popular passages

Page 197 - 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. NOTE.
Page 34 - To divide by 10, 100, &c., is simply cutting off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 177 - Divide the sum of the products by the sum of the debts, and the quotient will be the average term of credit, estimated from the date selected.
Page 72 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Page 189 - NOTE 3. If in extracting the root of a number there is a remainder, after all the periods have been brought down, periods of ciphers may be annexed by considering them as decimals. EXAMPLES.
Page 70 - An Improper Fraction is one whose numerator is equal to or greater than its denominator ; as, f...
Page 198 - ... in which case ciphers may be annexed, forming new periods, each of which will give one decimal place in the root. 2. What is the square root of 36729 ? 3 67 29(191,64+.
Page 141 - I. To find the interest of any given sum for one year. RULE. Multiply the principal by the rate per eent.
Page 200 - A and B set out to meet each other. A went 3 miles the first day, 5 the second, 7 the third, and so on. B went 4 miles the first day, 6 the second, 8 the third, and so on. In how many days did they meet?
Page 38 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea...