# The scholar's guide to arithmetic; or, A complete exercise-book (Google eBook)

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### Contents

 Introduction 1 Simple Subtraction 7 Simple Division 15 Compound Addition 31 Compound Subtraction 51 Compound Division 62 Compound Proportion 74 Tare and Tret 85
 Extraction of the Square 137 Compound Interest 178 Annuities 186 Arithmetical Proportion 196 Geometrical Proportion 204 Position 210 Permutations and Com 225 Russia 237

 Vulgar Fractions 94 Addition of ditto 105 Decimal Fractions 112 Reduction of ditto 118 Circulating Decimals 125
 Miscellaneous Questions 244 Method of verifying 250 Properties of Numbers 262 Arithmetical Recreations 274

### Popular passages

Page 1 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 41 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 69 - 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.
Page 168 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Page 163 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.
Page 175 - RULE. Find an answer, as before, by linking ; then say, As the sum of the quantities, or differences, thus determined, is to the given quantity, so is each ingredient found by linking, to the required quantity of each.
Page 74 - A wall that is to be built to the height of 27 feet, was raised 9 feet by 12 men in 6 days ; how many men must be employed to finish the wall in 4 days at the same rate of working ? If 402.
Page 98 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 100 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Page 116 - Divide as in whole numbers, and from the right hand in the quotient point off as many figures for decimals, as the decimal places in the dividend exceed those in the divisor.