The Arithmetical Catechism, Compiled from Various Authors, for the Use of Schools: With the Addition of Examples and Practical Questions Under Each Rule: the Whole Forming a Complete System of Arithmetic |
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Page 16
... divisor in the left hand column , and cast your eye along the line to the right hand until you find the dividend ; then , directly over the dividend , at the top , you will find the quotient or answer : thus , if you wish to divide 72 ...
... divisor in the left hand column , and cast your eye along the line to the right hand until you find the dividend ; then , directly over the dividend , at the top , you will find the quotient or answer : thus , if you wish to divide 72 ...
Page 23
... Divisor ? 4. Q. How are they to stand for Division A. Write down the Dividend , and on the right and left hand draw a curved line : write the Divisor on the left hand , and the Quotient as it arises on the right . 5. Q How many steps ...
... Divisor ? 4. Q. How are they to stand for Division A. Write down the Dividend , and on the right and left hand draw a curved line : write the Divisor on the left hand , and the Quotient as it arises on the right . 5. Q How many steps ...
Page 24
... Divisor , if the work be right .. 14. Q. How is Division to be proved ? A. Multiply the Divisor and Quotient together , and add the Remainder , if there be any , to the prod- uct ; if the work be right , the sum will be equal to the ...
... Divisor , if the work be right .. 14. Q. How is Division to be proved ? A. Multiply the Divisor and Quotient together , and add the Remainder , if there be any , to the prod- uct ; if the work be right , the sum will be equal to the ...
Page 25
... Divisor . Dividend . Quotient . 1756 ) 214106040 ( 121928 1756 1756 3850 731568 3512 609640 853496 3386 121928 1756 472 16300 214106040 proof . 15804 4964 3512 14520 14018 472 remainder . Divide 272357640 by 648 Quot . 420305 Remainder ...
... Divisor . Dividend . Quotient . 1756 ) 214106040 ( 121928 1756 1756 3850 731568 3512 609640 853496 3386 121928 1756 472 16300 214106040 proof . 15804 4964 3512 14520 14018 472 remainder . Divide 272357640 by 648 Quot . 420305 Remainder ...
Page 26
... Divisor , what is to be done ? A. Cut them off ; also cut off an equal number of figures from the right hand of the Dividend , divide as before , omitting the cyphers and the figures cut off from the right hand of the Dividend . 15. Q ...
... Divisor , what is to be done ? A. Cut them off ; also cut off an equal number of figures from the right hand of the Dividend , divide as before , omitting the cyphers and the figures cut off from the right hand of the Dividend . 15. Q ...
Common terms and phrases
100 dollars acres aliquot amount annex answer Bought bushels cents and mills Change ciphers circumference common denominator Compound contain cords corn cube root cubic denom diameter divide the product Dividend Division Divisor Dolls DRY MEASURE equal EXAMPLES extract the square farthings Federal Money gain or loss gallons given number given quantity given sum hundred improper fraction inches integers interest last Quotient Lawful Money left hand length lowest terms measure merator method of procedure minuend mixed number months Mult Multiplicand Multiply payment pence pounds PRACTICAL QUESTIONS proceed Prod Proof Quot Reduce Reduction Descending remainder right hand rods Rule of Three shillings signified sold solid feet square root Sterling Money stick of timber subtract Subtrahend sugar tare thick third term thousand TROY WEIGHT VULGAR FRACTIONS weight whole number wine yard
Popular passages
Page 147 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 143 - Seek how often the divisor is contained in the dividend (except the right hand figure) and place the answer in the root for the second figure of it, and likewise on the right hand of the divisor. Multiply the divisor with the figure last annexed by the figure last placed in the root, and subtract the product from the dividend.
Page 116 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 140 - As the whole sum of the products, is to the whole gain or loss, so is each man's particular product, to his particular share of the gain or loss.
Page 62 - Begin with the highest and write the Quotient of each division, as decimal parts on the right hand of the Dividend next below it, and so on, till they are all used, and the last Quotient will be the decimal sought.
Page 143 - Distinguish the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of.
Page 59 - 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 62 - Write the given numbers perpendicularly under each other for dividends, proceeding orderly from the least to the greatest : opposite to each dividend, on the left hand, place such a number for a divisor, as will bring it to the next superior name, and draw a line between them.
Page 145 - Reduce the fraction to its lowest terms, then extract the square root of the numerator for a new numerator, and the square root of the denominator for a new denominator. • ./Voie.«— If the fraction be...
Page 146 - Multiply the triple square by the last quotient figure, and write the product under this dividend ; multiply the square of the last quotient figure by the triple quotient...