An Elementary Arithmetic Serving as an Introduction to the Higher Arithmetic |
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Page 46
... Suppose we wish to multiply 48 by 35 . If we first multiply 48 by 5 , we find 240 for the pro- duct ; if now we multiply this product by 7 , we obtain 1680 , which is evidently the same as 35 times 48 . Hence we infer this RULE ...
... Suppose we wish to multiply 48 by 35 . If we first multiply 48 by 5 , we find 240 for the pro- duct ; if now we multiply this product by 7 , we obtain 1680 , which is evidently the same as 35 times 48 . Hence we infer this RULE ...
Page 48
... Suppose I buy 15 loads of bricks , each load contain ing 1250 bricks , how many bricks have I ? Ans . 18750 bricks . 2. In an orchard there are 107 apple - trees , each produ cing 19 bushels of apples . How many bushels does the whole ...
... Suppose I buy 15 loads of bricks , each load contain ing 1250 bricks , how many bricks have I ? Ans . 18750 bricks . 2. In an orchard there are 107 apple - trees , each produ cing 19 bushels of apples . How many bushels does the whole ...
Page 52
... Suppose we wish to know how many times 8 is contained in 32. We might proceed as follows : since 32 is greater than 8 , we know that 8 is contained in it , at least once ; therefore , subtracting 8 from 32 , we find 24 for a remainder ...
... Suppose we wish to know how many times 8 is contained in 32. We might proceed as follows : since 32 is greater than 8 , we know that 8 is contained in it , at least once ; therefore , subtracting 8 from 32 , we find 24 for a remainder ...
Page 71
... Suppose we have a common divisor of 636 and 276 ; this will also exactly divide 360 , their difference . For , 636 is made up of the two parts 276 and 360 , so that any number which will exactly divide 636 , will also divide 276 + 360 ...
... Suppose we have a common divisor of 636 and 276 ; this will also exactly divide 360 , their difference . For , 636 is made up of the two parts 276 and 360 , so that any number which will exactly divide 636 , will also divide 276 + 360 ...
Page 88
... OF FRACTIONS . 43. Suppose we wish to add and . We know that to long as these fractions have different denominators , they cannot be added any more than pounds and yards can 88 ELEMENTARY ARITHMETIC . Addition of Fractions.
... OF FRACTIONS . 43. Suppose we wish to add and . We know that to long as these fractions have different denominators , they cannot be added any more than pounds and yards can 88 ELEMENTARY ARITHMETIC . Addition of Fractions.
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Common terms and phrases
acres amount annex arithmetical progression balance barrels bushels called ciphers coin column compound contained copper cords cost cube root cubic feet cubic inches currency decimal fraction decimal point denominate number diameter discount divide dividend division equal equivalent fractions EXAMPLES expressed factors farthings Federal money foot gallon geometrical progression give gold grains greatest common divisor Hence hogsheads hundred improper fraction indorsement last term least common denominator least common multiple length linear feet lowest terms MEASURE method miles mills minuend mixed number months multiplicand Multiply number of days number of terms numerator and denominator obtain OPERATION payment pence pounds present worth quantities quotient rate per cent ratio rectangles Reduce remainder Repeat the Rule rods Septillions shilling tea side silver slabs sought square feet square root subtract subtrahend tens third term thousands tiply trial divisor Troy Weight units vulgar fraction weight whole number yards
Popular passages
Page 105 - 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 109 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 233 - 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 after payments made, compute the interest on the balance due, to the next payment, and then deduct the payment as above ; and in like manner from one payment to another till ail the payments are absorbed; provided the time between one payment and another be one year or more.
Page 135 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 232 - The rule for casting interest, when partial payments have been made, is to apply the payment, in the first place, to the discharge of the interest then due. " If the payment exceeds the interest, the surplus goes towards discharging the principal, and the subsequent interest is to be computed on the balance of principal remaining due.
Page 240 - RULE. — Divide the given interest by the interest of the given principal for 1 year, and the quotient is the time.
Page 232 - If the payment be less than the interest, the surplus of interest must not be taken to augment the principal; but interest continues on the former principal until the period when the payments, taken together, exceed the interest due, and then the surplus is to be applied towards discharging the principal; and interest is to be Computed on the balance, as aforesaid.
Page 131 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt...
Page 282 - 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 123 - TROY WEIGHT. 24 grains (gr.) = 1 pennyweight (pwt.). 20 pennyweights = 1 ounce (oz.). 12 ounces = 1 pound (lb.). 351. Apothecaries' weight is used in mixing medicines and in selling them at retail. APOTHECARIES