The Common School Arithmetic: Combining Analysis and Synthesis : Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic

Thompson, Bigelow & Brown, 1869 - Arithmetic - 324 pages

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Contents

 SIMPLE NUMBERS 8 Definitions 10 Exercises in English Numeration 14 Addition 17 Multiplication 30 Division 42 Definitions 59 Cloth Measure 66
 General Principles of Fractions 92 To Reduce a Fraction of a Higher 111 Complex Fractions made Simple 107 Subtraction of Fractions 119 188 129 UNITED STATES MONEY 144 COMPOUND NUMBERS 158 Partial Payments 193 Ratio 254 Compound Proportion 263

 GENERAL PRINCIPLES 80 COMMON FRACTIONS 92
 Involution 274

Popular passages

Page 105 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 76 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 274 - ... has been taken as a factor as many times as there are units in the index of the required power. Ex. 1.
Page 69 - 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 283 - 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 144 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . \$. 10 Dollars = 1 Eagle . E.
Page 42 - Division is the process of finding how many times one number is contained in another, or of finding one of the equal parts of a number.
Page 10 - How does moving a figure towards the left affect its value! make one ten, ten tens make one hundred, ten hundreds make one thousand, and, in short, ten units of any order make one unit of the next higher order.
Page 64 - TABLE. 16 Drams (dr.) make 1 Ounce, oz. 16 Ounces " 1 Pound, Ib. 25 Pounds " 1 Quarter, qr. 4 Quarters " 1 Hundred Weight, cwt. 20 Hundred Weight
Page 272 - When the quantity of one simple is given, after finding the proportional quantities, by the above rule, we may say, As the PROPORTIONAL quantity : is to the GIVEN quantity : : so is each of the other PROPORTIONAL quantities : to the REQUIRED quantities of each.