## Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by Numbers are Analytically Explained and Synthetically Applied |

### From inside the book

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**Hence**it appears that figures have a different value accord- ing to the PLACE they occupy , counting from the right hand towards the left . Hund . Tens . Units . Take for example the number 3 3 3 , made by the same figure three times ... Page 19

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**Hence**, subtraction may be proved by addition , as in the foregoing examples , and addition by subtraction . To prove subtraction , we may add the remainder to the subtrahend , and , if the work is right , the amount will he equal to ... Page 23

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**Hence**, Multiplication is a short way of performing many addi- tions ; in other words , It is the method of repeating any number any given number of times . SIGN . Two short lines , crossing each other in the form of the letter X , are ... Page 26

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**Hence**, 136 dollars , the price of 1 ton . 8 one of the component parts , or factors . 1088 dollars , the price of 8 tons . 12 the other component part , or factor . Ans . 13056 dollars , the price of 96 tons . 3. Supposing 342 men to ... Page 32

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**Hence**division and multiplication mutually prove each other . To prove division , we may multiply the divisor by the quotient , and , if the work be right , the product will be the same as the divi- dend ; or we may divide the dividend ...### Other editions - View all

### Common terms and phrases

acres amount annexed annuity answer apples arithmetical series bushels called ciphers common difference composite number compound interest compound numbers contained cord feet cows cube root cubic decimal fractions diameter divided dividend division divisor dollars equal evidently EXAMPLES FOR PRACTICE factors farthings federal money foot gain gallons given number given sum greatest common divisor Hence hogshead horse hundred hundredths improper fraction inches last term least common multiple length less number measure miles mills minuend minutes mixed number months multiplicand multiply Note number of terms OPERATION oranges ounce paid payment pence pints pounds present worth principal proportion pupil quantity quarts quotient rate per cent ratio receive Reduce remainder right hand figure rule shillings side simple numbers sold solid feet square root subtraction subtrahend tens thousandths units vulgar fractions weight whole number write yards of cloth

### Popular passages

Page 90 - Divide the denominator by the whole number, when it can be done without a remainder ; otherwise, multiply the numerator by it, and under the product write the denominator, which may then be reduced to a whole or mixed number.

Page 4 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.

Page 95 - Prom' the very process of dividing each of the parts, that is, of increasing the denominators by multiplying them, it follows, that each denominator must be & factor of the common denominator ; now, multiplying all the denominators together will evidently produce such a number. Hence, To reduce fractions of different denominators to equivalent fractions having...

Page 139 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.

Page 112 - 03, the same as before. IT 73. The foregoing examples and remarks are sufficient to establish the following RULE. In the division of decimal fractions, divide as in whole numbers, and from the right hand of the quotient point off...

Page 124 - The rate of interest upon the loan or forbearance of any money, goods or things in action...

Page 83 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.

Page 142 - This may be done, provided the terms be so placed, that the product of the extremes shall be equal to that of the means. 4. If 3 men perform a certain piece of work in 10 days, how long will it take 6 men to do the same ? The number of days in which 6 men will do the work being the term sought, the.

Page 166 - Hence, when the extremes and number of terms are given, to find the common difference, — Divide the difference of the extremes by the number of terms, less 1, and the quotient will be the common difference.

Page 63 - Thirty days hath September, April, June, and November, February twenty-eight alone ; All the rest have thirty-one.