# A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies

Brown, Taggard & Chase, 1857 - Arithmetic - 355 pages
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### Contents

 Notation 1 25 5 To Reduce a Fraction of a Lower to One of a 11 Decimal Fractions 11 Subtraction 16 Compound Numbers 40 Higher Denomination 45 Signs Definitions and General Principles 48 To Reduce a Fraction of a Higher Denomination to Whole Numbers of Lower Denominations 82
 Compound Equation of Payments 155 Examples in Analysis 157 87 160 26 162 102 165 27 169 Conjoined Proportion 176 107 178

 To Reduce Whole Numbers of Lower Denomina tions to the Fraction of a Higher 85 To Add Fractions 87 To Subtract Fractions 89 Miscellaneous Examples 91 Addition of Decimal Fractions 2 Subtraction of Decimal Fractions 100 Division of Decimal Fractions 101 Compound Addition 113 Compound Subtraction 117 Compound Multiplication 120 Compound Division 122 Duodecimals 124 Interest 138 Partial Payments Problems in Interest 140 Compound Interest 143 Commission 147 Insurance 148 Discount 150 Equation of Payments 151
 108 179 110 181 31 187 119 189 34 201 37 210 124 216 141 234 Extraction of Roots of All Degrees 239 148 242 Geometrical Progression 247 150 255 Permutations Arrangements and Combinations 260 Miscellaneous Examples 266 Contractions in Multiplication 275 151 276 155 281 157 286

### Popular passages

Page 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 76 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 80 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.
Page 210 - The square root of a number is one of its two equal factors.
Page 223 - 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 141 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.
Page 51 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 75 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.