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

Taggard and Thompson, 1864 - Arithmetic - 305 pages

### Contents

 Notation and Numeration 7 Definitions 8 English Numeration Table 39 Definitions 59 Cloth Measure 66 Fraction Reduced to Lower Terms 98 Fraction Divided by a Fraction 111 Decimal Numeration Table 129
 Multiplication 166 101 178 PERCENTAGE 183 Partial Payments 193 Problems in Interest 200 Compound Interest 206 Common Denominator 207 Common Numerator 241

 Ratio 254 Compound Proportion 263 Involution 274

### Popular passages

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 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 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 10 - How does moving a figure towards the left ntluct its vniu«' 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 294 - Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.
Page 76 - TABLE. 60 Seconds (sec.) . make 1 Minute, m. 60 Minutes " 1 Hour, h. 24 Hours
Page 74 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 294 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Page 36 - RULE. Annex as many ciphers to the multiplicand as there are ciphers in the multiplier, and the number so formed will be the •product.
Page 130 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.