A Practical and Theoretical System of Arithmetic: Containing Several New Methods of Operation, and a New System of Proportion; with Theoretical Explanations of All the Principal Rules. Also, a Treatise on Mensuration, and a Brief Practical System of Book-keeping |
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Page 14
... multiplicand by it , carrying 1 for every 10 as in addition of whole numbers . * EXAMPLES . 1. What number is equal to 3 times 425 ? 425 multiplicand . 3 multiplier . 1275 product . * For the method of proof , see Division . ( 2 ) ( 3 ) ...
... multiplicand by it , carrying 1 for every 10 as in addition of whole numbers . * EXAMPLES . 1. What number is equal to 3 times 425 ? 425 multiplicand . 3 multiplier . 1275 product . * For the method of proof , see Division . ( 2 ) ( 3 ) ...
Page 15
... Multiplicand 84635 Multiplier 6432 4345 ( 5 ) 7085 3 5 6 Product That Multiplication is a short way of performing several additions , may be shown by setting down the multiplicand as many times as there are units in the multiplier , and ...
... Multiplicand 84635 Multiplier 6432 4345 ( 5 ) 7085 3 5 6 Product That Multiplication is a short way of performing several additions , may be shown by setting down the multiplicand as many times as there are units in the multiplier , and ...
Page 16
... Multiplicand Multiplier 75628 409 ( 3 ) 64285 ( 4 ) 48053 64 82 680652 302512 Product 30931852 5. Multiply 96038 by 6007 . 6. Multiply 75649 by 579 . 7. Multiply 29831 by 952 , 8. Multiply 25238 by 1217 . 4114240 3940346 Ans . 576900266 ...
... Multiplicand Multiplier 75628 409 ( 3 ) 64285 ( 4 ) 48053 64 82 680652 302512 Product 30931852 5. Multiply 96038 by 6007 . 6. Multiply 75649 by 579 . 7. Multiply 29831 by 952 , 8. Multiply 25238 by 1217 . 4114240 3940346 Ans . 576900266 ...
Page 17
... multiplicand the ciphers in the multiplier . 1. Multiply 462 by 10 . Ans . 4620 . Annexing a cipher to the right hand of a number , throws every figure one place toward the left , and consequently increases its value ten - fold ; that ...
... multiplicand the ciphers in the multiplier . 1. Multiply 462 by 10 . Ans . 4620 . Annexing a cipher to the right hand of a number , throws every figure one place toward the left , and consequently increases its value ten - fold ; that ...
Page 18
... multiplicand , and the smallest the multiplier ? Multiplication is but another method of performing addition , is i then indispensable in practice ? Why do we place the product of the second figure in the multiplier , one place to the ...
... multiplicand , and the smallest the multiplier ? Multiplication is but another method of performing addition , is i then indispensable in practice ? Why do we place the product of the second figure in the multiplier , one place to the ...
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Common terms and phrases
acres added amount angles annuity annum barrels bought bushels bushels of oats bushels of wheat cents a bushel ciphers compound interest Compound Numbers contain cube root cubic currency decimal point diameter divide the product dividend division divisor dollars equal example Federal Money feet long Find the interest gallons given number hand figures hours a day hypotenuse improper fraction inches integer least common multiple length less lowest terms method miles mills minuend mixed number months multiplicand Multiply number of terms paid payment period perpendicular piece pound principal quantity question quotient ratio Reduce remainder Required the interest rhombus right-angled rods Rule of Three RULE.-Multiply separatrix share shillings side simple solid square root statement subtract subtrahend third term triangle unit's place units vulgar fraction weight whole number yards cost yards of cloth
Popular passages
Page 164 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
Page 62 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 51 - When the numerator is less than the denominator, the value of the fraction is less than 1.
Page 124 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 53 - 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 105 - If 8 men can build a wall 20 feet long, 6 feet high and 4 feet thick, in 12 days ; in what time...
Page 82 - RULE. I. Write the several terms of the multiplier under the corresponding terms of the multiplicand. II. Multiply each term of the multiplicand by each term of the multiplier, beginning with the lowest term in each, and call the product of any two denominations the denomination denoted by the sum of their indices, carrying 1 for every 12.
Page 159 - Alligation alternate is the method of finding what quantity of any number of simples, whose rates are given, will compose a mixture of a given rate ; so that it is the reverse of Alligation medial, and may be proved by it. RULE 1.* 1. Write the rates of the simples in a column under each other.
Page 145 - Extract the root of the numerator for a new numerator, and the root of the denominator, for a new denominator 2.
Page 124 - If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due. If the payment be less than the interest, the surplus of interest must not be taken to augment the principal, but interest continues on the former principal until the period when the payments taken together exceed the interest due, and then the surplus is to be applied towards discharging the principal, and interest is to...