# A Theoretical and Practical Arithmetic: Designed for Common Schools and Academies

Thomas, Cowperthwait, & Company, 1851 - 276 pages
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### Contents

 Numeration 12 Multiplication 22 Subtraction 28 General Principles in Division 36 Prime and Composite Numbers 42 The Least Common Multiple 49 Addition of Fractions 60 Practical Questions in Fractions 70
 Denominate Fractions 116 Partial Payments 136 Discount 148 Practical Questions in Profit and Loss 162 Equation of Payments 179 Involution 194 Root of Higher Powers 211 Exchange of Currencies 226

### Popular passages

Page 179 - Multiply each payment by the time before it becomes due, and divide the sum of the products by the sum of the payments : the quotient will be the mean time.
Page 186 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 93 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal.) 31| gallons = 1 barrel (bbl...
Page 11 - 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 54 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. Divide the numerator by the denominator, and the quo<tient will be the whole or mixed number required.
Page 136 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due.
Page 242 - Problem 16. — To find the area of a ring. Rule. — Take the difference between the areas of the two circles. Problem 17. — To find the area of an ellipse. Rule. — Multiply the product of the two diameters by .7854. Example. — What is the area of an ellipse when the minor and major axes are 6 and 10 ins.
Page 55 - To reduce a mixed number to an improper fraction. RULE. — Multiply the whole number by the denominator of...
Page 204 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 213 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.