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 24
... NOTE . Beginning with the number last written down , we add the units and tens , thus : 85 and 3 equal 88 , and 80 equal 168 , and 1 equal 169 , and 90 equal 259 , and 8 equal 267 , and 60 equal 327 , the sum sought . In like manner may ...
... NOTE . Beginning with the number last written down , we add the units and tens , thus : 85 and 3 equal 88 , and 80 equal 168 , and 1 equal 169 , and 90 equal 259 , and 8 equal 267 , and 60 equal 327 , the sum sought . In like manner may ...
Page 37
... NOTE . When there are ciphers between the significant figures of the multiplier , pass over them in the operation , and multiply by the signifi- cant figures only , remembering to set the first figure of the product directly under the ...
... NOTE . When there are ciphers between the significant figures of the multiplier , pass over them in the operation , and multiply by the signifi- cant figures only , remembering to set the first figure of the product directly under the ...
Page 38
... NOTE . -The common mode of proof in business is to divide the product by the multiplier , and , if the work is right , the quotient will be like the multiplicand . This mode of proof anticipates the principles of division , and ...
... NOTE . -The common mode of proof in business is to divide the product by the multiplier , and , if the work is right , the quotient will be like the multiplicand . This mode of proof anticipates the principles of division , and ...
Page 39
... NOTE . This method of proof , though perhaps sufficiently sure for common purposes , is not always a test of the correctness of an operation . If two or more figures in the work should be transposed , or the value of one figure be just ...
... NOTE . This method of proof , though perhaps sufficiently sure for common purposes , is not always a test of the correctness of an operation . If two or more figures in the work should be transposed , or the value of one figure be just ...
Page 41
... NOTE . The product of any number of factors is the same in whatever order they are multiplied . Thus , 3 X 4 = 12 , and 4 × 3 EXAMPLES FOR PRACTICE . 2. Multiply 30613 by 255 X 5 . 3. Multiply 1469 by 847 X 12 . 4. Multiply 7546 by 81 ...
... NOTE . The product of any number of factors is the same in whatever order they are multiplied . Thus , 3 X 4 = 12 , and 4 × 3 EXAMPLES FOR PRACTICE . 2. Multiply 30613 by 255 X 5 . 3. Multiply 1469 by 847 X 12 . 4. Multiply 7546 by 81 ...
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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.