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

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Page 166

Hence , when the extremes and number of terms are given , to find the common difference ,

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 . 6.### What people are saying - Write a review

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acres added addition amount answer apples barrels bought bushels called cents ciphers cloth common compound interest consequently contained contents continue cord cost cows cube cubic currency decimal denominator diameter difference divided dividend division divisor dollars equal evidently EXAMPLES FOR PRACTICE expressed factors farthings feet figure five foot four fourth fraction gain gallons give given greater half Hence horse hundred inches interest length less manner measure miles mills minutes mixed months multiply Note OPERATION oranges paid pence piece pounds present worth principal proportion quantity quarts question quotient ratio receive Reduce remainder reverse right hand rods root rule share shillings side simple sold solid square subtraction taken tens third units weight whole number wide write yards

### 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 2 - 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.