# A Written Arithmetic, for Common and Higher Schools: To which is Adapted a Complete System of Reviews, in the Form of Dictation Exercises

Brewer and Tileston, 1875 - Arithmetic - 340 pages
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### Contents

 Notation and Numeration 9 Fractional Notation 19 FEDERAL MONEY 43 ANALYSIS 53 Definitions 56 Definitions 65 Reduction of Whole and Mixed Num 84 Reduction of Compound Fractions 73 Questions for Review 91
 PRACTICE 165 Definitions and Reductions 171 Interest 178 Compound Interest 195 Present Worth and Discount 202 General Review No 208 Insurance 209 Average or Equation of Payments 215

 Federal Money 95 To find the Whole from a Part 78 97 102 120 Questions for Review 135 General Review No 149 Multiplication and Division by 155 88 156
 Average of Accounts 221 Custom House Business 228 Ratio 246 Analysis and Compound Proportion 254 297 Arithmetical Progression 305 APPENDIX 325 Metric System 336

### Popular passages

Page 108 - bounded by a line, every part of which is equally distant from a point within called the centre. 185. The bounding line is called the Circumference of the circle. Any part of the circumference is called an Arc. 186. A straight line passing from the centre of the circle to the circumference, is called a
Page 108 - circumference, through the centre, to an opposite 188. The circumference of any circle is supposed to be divided into 360 equal parts, called Degrees, each degree into 60 Minutes, and each minute into 60 Seconds. TABLE. 60 seconds
Page 11 - hundred. two hundred. three hundred. four hundred. five hundred. six hundred. seven hundred. eight hundred. nine hundred. one thousand. one million. two million. or write in words the following numbers: — 1. 2. 3. 4. 5. 6.
Page 295 - 494. In every geometrical progression, five things are to be considered ; viz., the First Term, the Last Term, the Number of Terms, the Common Ratio, and the Sum of the Terms; any three of which being given, the other two may be found.
Page 237 - From the above, it follows that whenever an extreme in a proportion is wanting, it can be found by dividing the product of the means by the given extreme ; and whenever a mean is wanting, it may be found by dividing the product of the extremes by the given mean.
Page 9 - ARITHMETIC. ARTICLE 1. ARITHMETIC is the science of numbers, and the art of computing by them. 2. A Unit is one. 3. A Number is a unit, or a combination of units. 4. A Concrete, or Denominate Number, is a number which is applied to some object or objects ; as, one boy, two
Page 236 - The first and fourth terms of a proportion are called the extremes, and the second and third are called the means. The first ratio : ; called the first couplet, and the second ratio the second couplet. Read the following proportions : — 1.
Page 111 - days hath September, April, June, and November ; All the rest have thirty-one, Except February alone, To which we twenty-eight assign, Till leap year gives it twenty-nine.
Page 236 - A compound proportion is an equality between a compound ratio and a simple ratio, or between two compound ratios. 370. Three terms are in proportion when the first is to the second as the second is to the third. The second term is
Page 266 - first term in the answer. Subtract the cube from the left hand period, and to the remainder bring down the next period for a dividend. Multiply the square of the root already found,