A System of Practical Arithmetic: Applicable to the Present State of Trade, and Money Transactions: Illustrated by Numerous Examples Under Each Rule; for the Use of SchoolsR. Phillips, 1812 - 258 σελίδες |
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Σελίδα 142
... 3 : and the square of 10 is 100 ; but the square of 5 is only 25 . Here we find that the cube of any number is eight times as great as the cube of half that number . EVOLUTION . EVOLUTION is the method of extracting roots . 142.
... 3 : and the square of 10 is 100 ; but the square of 5 is only 25 . Here we find that the cube of any number is eight times as great as the cube of half that number . EVOLUTION . EVOLUTION is the method of extracting roots . 142.
Σελίδα 143
... root of 9 , because 3 mul- tiplied into itselt gives 9 : 4 is the cube root of 64 , because The roots are de- 4 multiplied into itself twice , gives 64 . noted by indices , or exponents , in this manner : The cube root of 125 is = 5 ...
... root of 9 , because 3 mul- tiplied into itselt gives 9 : 4 is the cube root of 64 , because The roots are de- 4 multiplied into itself twice , gives 64 . noted by indices , or exponents , in this manner : The cube root of 125 is = 5 ...
Σελίδα 144
... root , and proceed as before . The rule will be rendered clear by the following ex- amples : What are the square roots of 16777216 and 43046721 ? 16777216 ( 4096 16 809 ) 7772 7281 8186 ) 49116 49116 43046721 ( 6561 36 125 ) 704 625 ...
... root , and proceed as before . The rule will be rendered clear by the following ex- amples : What are the square roots of 16777216 and 43046721 ? 16777216 ( 4096 16 809 ) 7772 7281 8186 ) 49116 49116 43046721 ( 6561 36 125 ) 704 625 ...
Σελίδα 145
... root of the assumed cube to the root required nearly . What is the cube root of 27455 ? Here the nearest root that is a whole number is 30 , the cube of which is 27000 : therefore I say , As 27000 X 2 + 27455 : 27455 × 2 + 27000 :: 30 ...
... root of the assumed cube to the root required nearly . What is the cube root of 27455 ? Here the nearest root that is a whole number is 30 , the cube of which is 27000 : therefore I say , As 27000 X 2 + 27455 : 27455 × 2 + 27000 :: 30 ...
Σελίδα 146
... root thus found 30.16 , as the assumed cube , and repeating the operation , the root will be had to a still greater degree of exactness . Ex . 1. What is the cube root of 15625 ? Ex . 2. Whrt is the cube root of 140608 ? Ex . 3. What is ...
... root thus found 30.16 , as the assumed cube , and repeating the operation , the root will be had to a still greater degree of exactness . Ex . 1. What is the cube root of 15625 ? Ex . 2. Whrt is the cube root of 140608 ? Ex . 3. What is ...
Άλλες εκδόσεις - Προβολή όλων
A System of Practical Arithmetic, Applicable to the Present State of Trade ... Jeremiah Joyce Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
A System of Practical Arithmetic, Applicable to the Present State of Trade ... Jeremiah Joyce Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
9 Ex acres aliquot amount annual annuity annum answer arithmetical progression Avoirdupois bill bushels common denominator compound interest containing cost course of exchange cube root cubic cyphers decimal difference ditto divide dividend divisor equal EXAMPLES farthings feet figures find the value fraction gallons geometrical progression geometrical series given number given sum gives guineas per cent hogsheads hundred improper fractions inches insure joint lives last term lease logarithm London measure miles millions mixed numbers months multiplicand Multiply the number neat weight NOTE number of terms ounces paid payment pence person aged piastre pound sterling pounds present value purchase quantity quotient Reduce remainder Rule of Three shews shillings square root sterling subtract supposing tare thousand tons tret Troy TROY WEIGHT whole number wine worth yards
Δημοφιλή αποσπάσματα
Σελίδα 177 - 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 equated time, nearly.
Σελίδα 112 - 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.
Σελίδα 243 - Multiply each term into the multiplicand, beginning at the lowest, by the highest denomination in the multiplier, and write the result of each under its respective term ; observing to carry an unit for every 12, from each lower denomination to its next superior.
Σελίδα 92 - III. finally, multiply the second and third terms together, divide the product by the first, and the quotient will be the answer in the same denomination as the third term.
Σελίδα 150 - The first term, the last term (or the extremes) and the ratio given, to find the sum of the series. RULE. Multiply the last term by the ratio, and from the product subtract the first term ; then divide the remainder by the ratio, less by 1, and the quotient will be the sum of all the terms.
Σελίδα 113 - Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator.
Σελίδα 243 - In like manner, multiply all the multiplicand by the inches and parts of the multiplier, and set the result of each term one place removed to the right hand of those in the multiplicand...
Σελίδα 55 - Place the numbers so that those of the same denomination may stand directly under each other.
Σελίδα 149 - Given the first term, last term, and common difference, to find the number of terms. RULE. — Divide the difference of the extremes by the common difference, and the quotient increased by 1 is the number of terms.
Σελίδα 28 - ... the number in the quotient. Multiply the divisor by the quotient figure, and set the product under that part of the dividend used. Subtract the product, last found, from that part of the dividend under which...