The University Arithmetic: Embracing the Science of Numbers, and Their Numerous Applications |
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Page vi
... tens , and the Denominate or Compound numbers in which it increases according to a different scale , belong in fact to the same class of numbers , and that both may be treated under a common set of rules . Hence , the rules for Notation ...
... tens , and the Denominate or Compound numbers in which it increases according to a different scale , belong in fact to the same class of numbers , and that both may be treated under a common set of rules . Hence , the rules for Notation ...
Page 13
... ten , eleven , twelve , thirteen , & c . , express the numbers for which they stand , respectively .. 4. The unit of a number is one of the equal things which the number expresses . Thus , if the number be six apples , one apple is the ...
... ten , eleven , twelve , thirteen , & c . , express the numbers for which they stand , respectively .. 4. The unit of a number is one of the equal things which the number expresses . Thus , if the number be six apples , one apple is the ...
Page 14
... ten characters which represent numbers ; they are called figures . They are naught , one , two , three , four , five , six , seven , eight , nine . 4 5 6 7 0 1 2 3 8 9 The character 0 is used to denote the absence of a thing . As , if ...
... ten characters which represent numbers ; they are called figures . They are naught , one , two , three , four , five , six , seven , eight , nine . 4 5 6 7 0 1 2 3 8 9 The character 0 is used to denote the absence of a thing . As , if ...
Page 15
... ten , however , is ten times greater than a simple unit , and is called a unit of the second order . 9. We next write two O's on the right of the 1 ; thus , 100. This is the arithmetical expression for one hundred , that is , for ten tens ...
... ten , however , is ten times greater than a simple unit , and is called a unit of the second order . 9. We next write two O's on the right of the 1 ; thus , 100. This is the arithmetical expression for one hundred , that is , for ten tens ...
Page 16
... tens ; those of the third , hundreds ; those of the fourth , thousands , & c . , according to the follow- ing QUEST . - How is a single unit of the first order expressed ? How do you express one unit of the second order ? One of the ...
... tens ; those of the third , hundreds ; those of the fourth , thousands , & c . , according to the follow- ing QUEST . - How is a single unit of the first order expressed ? How do you express one unit of the second order ? One of the ...
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Common terms and phrases
acre amount annexed apples arithmetical avoirdupois bill bushels called Cash cent per annum ciphers circulating decimals cloth cost common denominator common difference composite number compound interest contain cube root Day-book decimal fraction decimal places denominate number different denominations divided dividend division dollars equal exact number EXAMPLES excess of 9's exchange expressed feet figures Find the least four fourth frac gallons given denomination given number gives greatest common divisor Hence hogshead hundred hundredths improper fraction June least common multiple lowest terms merchant method miles mills minuend mixed number months multiplicand number of terms numerator and denominator one-half OPERATION paid payable payment pence pound prefixing premium present value prime factors proper fraction QUEST.-What quotient Reduce remainder repetend shillings simple fraction square root subtract tare tens tenths third thousandths troy troy weight units vulgar fraction weight whole number yards of cloth
Popular passages
Page 38 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 37 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 278 - THE CONDITION of the above obligation is such, that if the above bounden James Wilson, his heirs, executors, or administrators, shall well and truly pay or cause to be paid, unto the above named John Pickens, his executors, administrators, or assigns, the just and full sum of Here insert the condition.
Page 262 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 279 - ... then the above obligation to be void ; otherwise to remain in full force and virtue.
Page 69 - We have seen that multiplying by a whole number is taking the multiplicand as many times as there are units in the multiplier.
Page 155 - 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 154 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 151 - Now, to express the 6 thousandths decimally, we have to prefix two ciphers to the 6, and this makes as many decimal places in the product as there are in both multiplicand and multiplier.
Page 229 - Compute the interest on the principal to the time of the first payment, and if the payment exceed this interest, add the interest to the principal and from the sum subtract the payment : the remainder forms a new principal.