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### Contents

 NOTATION 1 Simple Addition 4 Subtraction 7 Multiplication 9 Division 15 Arithmetical Tables 22 Reduction 28 Compound Addition 35
 Division 107 Rule of Three Direct and Inverse 109 Double Rule of Three 111 Decimals 112 Addition 114 Subtraction 115 Division 116 Reduction 118

 Subtraction 41 Multiplication 45 Division 50 Mental Calculations 53 Rule of Three Direct 62 Inverse 68 Compound Proportion or Double Rule of Three 70 Practice 74 Tare and Trett 83 Vulgar Fractions 87 Addition 102 Subtraction 104 Multiplication 106
 Rule of Three 124 Interest 125 Buying and Selling of Stock 142 Barter 148 Fellowship 163 Involution 171 Cube Root 177 Geometrical Progression 185 Freehold Estates or Annuities in Perpetuity 192 Alligation 200 Permutation and Combination 206 Demonstration to Multiplication for casting out the nines 213

### Popular passages

Page 15 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 25 - TABLE. 4 gills (gi.) - make - - 1 pint, marked pt. 2 pints ------- 1 quart, - - - qt. 4 quarts ------ 1 gallon, - - - gal. 31� gallons ------ 1 barrel, - - - bar.
Page 68 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 89 - 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 63 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.
Page 173 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 188 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain 7680 of these grains, and one quarter or 8 bushels to be worth yja 6d, it is required to compute the value of all the corn ? Ans.
Page 27 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Page 89 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 145 - DISCOUNT. DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a debt payable at some future time, without interest, is such a sum of money as will, if put at interest for the given time, amount to the debt.