An Elementary Arithmetic Designed for Academies and Schools: Also Serving as an Introduction to the Higher ArithmeticD. Appleton & Company, 1851 - 347 σελίδες |
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Σελίδα iv
... Balance . IV . The method of Extraction of the Cube Root is greatly preferable to the old method . It is far more concise and more comprehensive ; saving nearly half the labor , and being ap- plicable , with little variation , to the ...
... Balance . IV . The method of Extraction of the Cube Root is greatly preferable to the old method . It is far more concise and more comprehensive ; saving nearly half the labor , and being ap- plicable , with little variation , to the ...
Σελίδα vi
... Balance in Equation of Payments . And last , but not least , the method of extracting the Cube Root , by means of auxiliary columns . To this method I ask the atten- tion of teachers generally . I believe I have omitted no step ...
... Balance in Equation of Payments . And last , but not least , the method of extracting the Cube Root , by means of auxiliary columns . To this method I ask the atten- tion of teachers generally . I believe I have omitted no step ...
Σελίδα 21
... if the sum is the same as when the columns were added upwards , the work is then supposed to be correct . This proof is not infallible , since mistakes may occur in both operations , which shall balance each ADDITION . 21 Proof of Addition.
... if the sum is the same as when the columns were added upwards , the work is then supposed to be correct . This proof is not infallible , since mistakes may occur in both operations , which shall balance each ADDITION . 21 Proof of Addition.
Σελίδα 22
... balance each other . How is the work of addition generally proved ? Is this method of proof infallible ? Why not ? ( 5. ) ( 6. ) 34567890 43345678 ( 7. ) 123423434 2357911 21123355 23785432 234567 27893 9876543 24897 54689 751002 64 ...
... balance each other . How is the work of addition generally proved ? Is this method of proof infallible ? Why not ? ( 5. ) ( 6. ) 34567890 43345678 ( 7. ) 123423434 2357911 21123355 23785432 234567 27893 9876543 24897 54689 751002 64 ...
Σελίδα 32
... balance that excess by adding 1 ten to the 6 of the subtrahend , making 7 tens . But the 7 w Thousands ܠ 3 OPERATION . Hundreds . σ & Tens . → ∞ Units . 0 8 3 minuend . 7 subtrahend . 6 difference . tens cannot be subtracted from the ...
... balance that excess by adding 1 ten to the 6 of the subtrahend , making 7 tens . But the 7 w Thousands ܠ 3 OPERATION . Hundreds . σ & Tens . → ∞ Units . 0 8 3 minuend . 7 subtrahend . 6 difference . tens cannot be subtracted from the ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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 denote 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 lowest terms MEASURE method miles mills minuend mixed number months multiplicand Multiply number of days number of terms numerator and denominator obtain OPERATION ounces payment pence pounds present worth quantities quotient rate per cent ratio rectangles Reduce remainder Repeat the Rule rods Sextillions 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
Δημοφιλή αποσπάσματα
Σελίδα 111 - 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.
Σελίδα 107 - 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.
Σελίδα 237 - 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 all the payments are absorbed ; provided the time between one payment and another be one year or more.
Σελίδα 78 - Then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator...
Σελίδα 151 - Place the remainder under the column added, and carry the quotient to the next column.
Σελίδα 29 - EXAMPLES. 1. In which no figure of the subtrahend is larger than the corresponding figure in the minuend. From 796 subtract 375.
Σελίδα 330 - To find the area of a trapezoid. RULE. Multiply half the sum of the two parallel sides by the perpendicular distance between them : the product will be the area.
Σελίδα 112 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . $. 10 Dollars = 1 Eagle . E.
Σελίδα 108 - ... it follows, that in division the decimal places of the dividend must be equal to the number of places in the divisor and quotient taken together. Hence, the number of decimal places in the quotient must equal the excess of those in the dividend above those in the divisor.
Σελίδα 107 - In multiplication of decimals, we know that the number of decimal places in the product is equal to the sum of those in both the factors.