Introduction to The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods with the Cancelling System; in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner. Designed for Common Schools |
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Page 239
... extremes , and the remaining two the means . ART . 239. Any four numbers are said to be proportional to each other when the first contains the second as many times as the third contains the fourth ; or when the second contains the first ...
... extremes , and the remaining two the means . ART . 239. Any four numbers are said to be proportional to each other when the first contains the second as many times as the third contains the fourth ; or when the second contains the first ...
Page 240
... extremes are given the other extreme may be found by dividing the product of the means by the given extreme . Thus , if the means are 8 and 16 , and the given extreme 4 , the other extreme is 32 ; because 16 × 8128 ; and 1284 32 ...
... extremes are given the other extreme may be found by dividing the product of the means by the given extreme . Thus , if the means are 8 and 16 , and the given extreme 4 , the other extreme is 32 ; because 16 × 8128 ; and 1284 32 ...
Page 245
... Extreme . OPERATION . Mean . $ 100 : $ 600 12 mo . : 10 mo . Mean . 8 600 X 10 X 8 100 X 12 48000 $ 40 , Extreme . 1200 In stating this question , we make $ 8 , the gain , which is the same name of the required an- swer , the third ...
... Extreme . OPERATION . Mean . $ 100 : $ 600 12 mo . : 10 mo . Mean . 8 600 X 10 X 8 100 X 12 48000 $ 40 , Extreme . 1200 In stating this question , we make $ 8 , the gain , which is the same name of the required an- swer , the third ...
Page 287
... extremes , and the other terms the means . The constant difference is called the common difference of the ... extremes ? What the means ? 1st . The first term , or first extreme ; SECT . XXIX . ] 287 ARITHMETICAL PROGRESSION . SECTION ...
... extremes , and the other terms the means . The constant difference is called the common difference of the ... extremes ? What the means ? 1st . The first term , or first extreme ; SECT . XXIX . ] 287 ARITHMETICAL PROGRESSION . SECTION ...
Page 288
... extremes , 3 the common difference , 10 the number of terms , and the sum of the series 155 . It is evident that the number of common differences in any series must be 1 less than the number of terms . Therefore , since the number of ...
... extremes , 3 the common difference , 10 the number of terms , and the sum of the series 155 . It is evident that the number of common differences in any series must be 1 less than the number of terms . Therefore , since the number of ...
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Common terms and phrases
annexed barrels of flour bill Bought called ciphers circumference column common denominator common difference common fraction composite number compound interest compound numbers containing cords cost cube root cubic feet currency decimal diameter discount Divide the product dividend division dollars equal EXAMPLES FOR PRACTICE farthings figure find the interest frustum gain gallons Give the reason given number given sum greatest common divisor Hence hogshead hundred improper fraction inches interest of $1 least common multiple leaves less miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain OPERATION paid payment pence present worth prime factors prime number principal purchase quantity quarts QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding shillings side simple numbers sold solid square feet square root subtract subtrahend tens thousand thousandths tons Troy Weight United States money whole number write yards
Popular passages
Page 145 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 158 - RULE. — Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 277 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 209 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year,* add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year ; add it to the sum paid, and deduct that sum from the principal and interest added together.
Page 285 - SPHERE is a solid bounded by one continued convex surface, every part of which is equally distant from a point within, called the centre.
Page 17 - Addition is the process of finding the sum of two or more numbers.
Page 284 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 187 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 209 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 297 - If the first term is 18, the ratio 1.06, and the number of terms 4, what is the sum of the series ? Ans.