# Davies' University Arithmetic: Embracing the Answers, and a Full Analysis and Solution of the Difficult Questions ...

A.S. Barnes, 1861 - Arithmetic - 336 pages

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### Contents

 Definitions 13 Formation and Nature of Numbers 24 Reduction 3034 30 Subtraction 4454 44 Multiplication 5468 54 Division 6887 68 Practice 8790 87 Applications in the Four Rules 94103 94
 Double Rule of Three 221225 221 Profit and Loss 237241 237 Interest 245353 245 Partial Payments 253250 253 Discount 26O261 261 Stocks 267272 267 Insurance 273275 273 Annuities 279281 279

### Popular passages

Page 178 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 185 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 110 - THE LEAST COMMON MULTIPLE of two or more numbers is the least number which they will separately divide without a remainder. 117. Principles — Operations — and Rule. 1. Any divisible number, is divisible by any prime factor of the exact divisor. 2. If a number has several exact divisors, it will be divisible by all their prime factors.
Page 146 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 16 - ... one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen twenty thirty forty fifty sixty seventy eighty ninety one hundred two hundred three hundred four hundred five hundred...
Page 112 - The Greatest Common Divisor of two or more numbers is the greatest number that will exactly divide each of them. Thu4, 18 is the greatest, common divisor of 36 and 54, since it is the greatest number that will divide each of them without a remainder.
Page 286 - 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 131 - Multiply each numerator by all the denominators except its own, for the new numerators ; and all the denominators together for A COMMON denominator. NOTE 1.
Page 374 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Page 372 - The area or contents of a triangle is equal to half the product of its base by its altitude (Bk.