The practical arithmetic |
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Page 15
... Hence 36 is called the dividend , 4 and 9 the divisor , the quotient . CASE I. - When the divisor does not exceed 9 . RULE . - 1 . Observe how often the divisor is contained in the first figure of the dividend , and place this number ...
... Hence 36 is called the dividend , 4 and 9 the divisor , the quotient . CASE I. - When the divisor does not exceed 9 . RULE . - 1 . Observe how often the divisor is contained in the first figure of the dividend , and place this number ...
Page 94
... value , having the least common denominator . 2 ) 2 , 4 , 6 1 , 2 , 3 Hence 2 × 2 × 3 = 12 , the least common multiple of the denominators . Then xx 6 the new fraction = 2x12 12 3x X23 = 4 X 12 and 5XX22 6x 12 76 94 VULGAR FRACTIONS .
... value , having the least common denominator . 2 ) 2 , 4 , 6 1 , 2 , 3 Hence 2 × 2 × 3 = 12 , the least common multiple of the denominators . Then xx 6 the new fraction = 2x12 12 3x X23 = 4 X 12 and 5XX22 6x 12 76 94 VULGAR FRACTIONS .
Page 95
... Hence 2 × 3 × 2 = 12 , the least common multiple . 16 = 1 x X26 6 Then 7 × 12 and 5 × 12 6 x 12 1 x 123 - 12 ' 10 12 ' 3 3 4 × 12 12 ' 30 the new fraction . the new fraction the new fraction - 1 or 19 3. Reduce ,,, and to fractions of ...
... Hence 2 × 3 × 2 = 12 , the least common multiple . 16 = 1 x X26 6 Then 7 × 12 and 5 × 12 6 x 12 1 x 123 - 12 ' 10 12 ' 3 3 4 × 12 12 ' 30 the new fraction . the new fraction the new fraction - 1 or 19 3. Reduce ,,, and to fractions of ...
Page 119
... Hence .3 == 1 , and .285714285714 = 7- 3 } , 3. Reduce .26 to its equivalent vulgar fraction . 999999 Hence .26 = 26-2 24 90 = 90 4. Reduce 5.26 to its equivalent vulgar fraction . Here 5.26 = 526-52 474 90 = 5. Reduce .25 to its ...
... Hence .3 == 1 , and .285714285714 = 7- 3 } , 3. Reduce .26 to its equivalent vulgar fraction . 999999 Hence .26 = 26-2 24 90 = 90 4. Reduce 5.26 to its equivalent vulgar fraction . Here 5.26 = 526-52 474 90 = 5. Reduce .25 to its ...
Page 146
... hence , at 5 per cent . per annum discount ? m . £ . S. 6 is ) 5 0 Interest of £ 100 for 1 year . 2 10 Ditto ditto for 6 months . 100 102 10 Amount of £ 100 for 6 months . d . £ . s . As 102 10 : £ . s . 2 10 :: 500 £ . £ . s . : 12 3 ...
... hence , at 5 per cent . per annum discount ? m . £ . S. 6 is ) 5 0 Interest of £ 100 for 1 year . 2 10 Ditto ditto for 6 months . 100 102 10 Amount of £ 100 for 6 months . d . £ . s . As 102 10 : £ . s . 2 10 :: 500 £ . £ . s . : 12 3 ...
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Common terms and phrases
A's share acres aliquot amount annuity annum arithmetical Bought cash ciphers common denominator common difference compound interest contains cube root denotes discount ditto dividend divisor equal equivalent vulgar fraction Example 2nd EXAMPLES FOR PRACTICE farthings feet 6 inches Find the value gain per cent gallons geometrical progression given fraction given number given price given rate given sum guineas improper fraction last term least common multiple lowest terms miles mixed number moidores multiplicand nails neat weight number of terms pence person person's share pounds present worth prime cost quarters quotient rate per cent ratio Reduce remainder repetend Required each person's Required the cube Required the square Required the sum Required the value Rule of Three RULE.-Multiply selling price series of numbers shillings simple fraction sold square root subtract tare whole gain whole number yards of cloth
Popular passages
Page 15 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 25 - TABLE. 4 gills (gi.) - make - - 1 pint, marked pt. 2 pints ------- 1 quart, - - - qt. 4 quarts ------ 1 gallon, - - - gal. 31£ gallons ------ 1 barrel, - - - bar.
Page 68 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Page 89 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.
Page 63 - Multiply the second and third terms together, and divide their product by the first term; and the quotient will be the answer to the question, in the same denomination you left the second term in, which may be brought into any other denomination required.
Page 173 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 188 - Sessa requested that he might be allowed one grain of wheat for the first square on the chess board, 2 for the second, 4 for the third, and so on, doubling continually, to 64, the whole number of squares. Now, supposing, a pint to contain 7680 of these grains, and one quarter or 8 bushels to be worth yja 6d, it is required to compute the value of all the corn ? Ans.
Page 27 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Page 89 - To reduce an improper fraction to a whole or mixed number. RULE. Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Page 145 - DISCOUNT. DISCOUNT is an allowance made for the payment of money before it is due. The present worth of a debt payable at some future time, without interest, is such a sum of money as will, if put at interest for the given time, amount to the debt.