The scholar's guide to arithmetic; or, A complete exercise-book1851 |
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Σελίδα 5
... Whence 3467 = 3 × 999 + 4 × 99 +6 × 9 + 3 + 4 + 6 +7 ; and , consequently , 3467 ÷ 9 ( 3 × 999 +4 × 99 + 6 × 9 + 3 + 4 +6 +7 ) ÷ 9 . But 3 × 999 + 4 × 99 +6 x 9 is evi- dently divisible by 9 ; therefore , if 3467 be divided by 9 , it ...
... Whence 3467 = 3 × 999 + 4 × 99 +6 × 9 + 3 + 4 + 6 +7 ; and , consequently , 3467 ÷ 9 ( 3 × 999 +4 × 99 + 6 × 9 + 3 + 4 +6 +7 ) ÷ 9 . But 3 × 999 + 4 × 99 +6 x 9 is evi- dently divisible by 9 ; therefore , if 3467 be divided by 9 , it ...
Σελίδα 11
... whence the result so obtained must be evidently equal to the whole required product . 2. If the multiplier be a number consisting of more than one digit ; after having found the product of the multiplicand by the first figure of the ...
... whence the result so obtained must be evidently equal to the whole required product . 2. If the multiplier be a number consisting of more than one digit ; after having found the product of the multiplicand by the first figure of the ...
Σελίδα 12
... whence the truth of the rule is obvious . This method of proof , which is usually ascribed to DR . WALLIS , is of a much earlier date , being given by LUCAS DE BURGO , in his work en- titled Summa de Arithmetica , & c . printed in folio ...
... whence the truth of the rule is obvious . This method of proof , which is usually ascribed to DR . WALLIS , is of a much earlier date , being given by LUCAS DE BURGO , in his work en- titled Summa de Arithmetica , & c . printed in folio ...
Σελίδα 18
... whence the only thing that remains to be proved is , that the several figures of the quotient , taken as one number , according to the order in which they are placed , is the true quotient of the whole dividend by the divisor ; which ...
... whence the only thing that remains to be proved is , that the several figures of the quotient , taken as one number , according to the order in which they are placed , is the true quotient of the whole dividend by the divisor ; which ...
Σελίδα 19
... whence the excess in 2 x 4 +32 , or in 40 = 4 , which is also the excess in 47380 . It may here likewise be further observed , that as it is sometimes diffi- cult to find how often the divisor may be had in the numbers of the several ...
... whence the excess in 2 x 4 +32 , or in 40 = 4 , which is also the excess in 47380 . It may here likewise be further observed , that as it is sometimes diffi- cult to find how often the divisor may be had in the numbers of the several ...
Συχνά εμφανιζόμενοι όροι και φράσεις
aliquot amount annuity annum answer required arithmetical arithmetical mean arithmetical series avoirdupois bushels carats cent ciphers cloth lettered common difference compound interest cube root decimal denotes digits discount ditto Divide dividend divisible Dominical letter edition ells English epact equal equivalent EXAMPLES exchange farthings figures Find Easter Sunday Flemish per pound gallons geometrical geometrical progression given number guineas Hence inches integer last term method milreis mixed number moidore months multiplicand Multiply neat weight number of combinations number of terms number of things odd number Old Style payment pence places pound sterling present worth prime number proportion quantities quotient ratio Reduce remainder repetend required to find rix-dollar shillings simple interest square number square root subtract Take taken tare Trial divisor TROY WEIGHT True divisor tuns vulgar fraction whence whole number yards
Δημοφιλή αποσπάσματα
Σελίδα 25 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Σελίδα 53 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Σελίδα 152 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.
Σελίδα 147 - RULE.* — Multiply each payment by the time at which it is due; then divide the sum of the products by the sum of the payments, and the quotient will be the true time required.
Σελίδα 159 - RULE. Find an answer, as before, by linking ; then say, As the sum of the quantities, or differences, thus determined, is to the given quantity, so is each ingredient found by linking, to the required quantity of each.
Σελίδα 58 - A wall that is to be built to the height of 27 feet, was raised 9 feet by 12 men in 6 days ; how many men must be employed to finish the wall in 4 days at the same rate of working ? If 402.
Σελίδα 82 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Σελίδα 84 - To reduce fractions to a common denominator. RULE. Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 100 - Divide as in whole numbers, and from the right hand in the quotient point off as many figures for decimals, as the decimal places in the dividend exceed those in the divisor.