Practical Arithmetic, by Induction and Analysis |
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... Principles of Arithmetic analyzed and practically applied . For advanced students . ELEMENTARY ALGEBRA . RAY'S ALGEBRA , FIRST BOOK , for Common Schools and Acad- emies ; a simple and thorough elementary treatise . HIGHER ALGEBRA ...
... Principles of Arithmetic analyzed and practically applied . For advanced students . ELEMENTARY ALGEBRA . RAY'S ALGEBRA , FIRST BOOK , for Common Schools and Acad- emies ; a simple and thorough elementary treatise . HIGHER ALGEBRA ...
Page 1
... principle is anticipated : the pupil is never required to perform any operation until the principle on which it is founded has first been explained . For this reason , those processes of reduction that require the use of fractions , are ...
... principle is anticipated : the pupil is never required to perform any operation until the principle on which it is founded has first been explained . For this reason , those processes of reduction that require the use of fractions , are ...
Page 5
... Principles , ..... Promiscuous Examples , .. General Principles of Division , ... Cancellation , ..... COMPOUND NUMBERS . Definitions ,. United States or Federal Money , .. ...... Notation and Numeration of U. S. Money , ... Reduction ...
... Principles , ..... Promiscuous Examples , .. General Principles of Division , ... Cancellation , ..... COMPOUND NUMBERS . Definitions ,. United States or Federal Money , .. ...... Notation and Numeration of U. S. Money , ... Reduction ...
Page 6
... ......... General Principles , .. Reduction of Fractions , ..... To reduce a fraction to its lowest terms , PAGE , ......... ............. 120 122 125 127 128 131 132 131 128 139 .............. ..................... 142 ....... 142 ...
... ......... General Principles , .. Reduction of Fractions , ..... To reduce a fraction to its lowest terms , PAGE , ......... ............. 120 122 125 127 128 131 132 131 128 139 .............. ..................... 142 ....... 142 ...
Page 12
... PRINCIPLES OF NOTATION AND NUMERATION . 1. Numbers are represented by the 9 digits and cipher . 2. The cipher or naught ( 0 ) has no value ; it is used merely to fill vacant orders . 3. The number expressed by any figure depends upon ...
... PRINCIPLES OF NOTATION AND NUMERATION . 1. Numbers are represented by the 9 digits and cipher . 2. The cipher or naught ( 0 ) has no value ; it is used merely to fill vacant orders . 3. The number expressed by any figure depends upon ...
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Common terms and phrases
3d Bk acres added Addition annex apples barrels bought bushels cancel ciphers cloth column common fraction composite number Compound Numbers contained cost cube cube root cubic decimal denomination denotes difference dividend dollars Dry Measure equal exactly divide feet figure find the Int find the interest gallons Give examples given number greatest common divisor Hence hogsheads hundred improper fraction least common multiple lower denomination MEASURE mills minuend mixed number multiplicand Multiply NOTE number of units OPERATION oranges payment pecks pints pounds prime factors prime number principal quarts quotient rate per cent ratio Ray's Test Examples Reduce remainder Repeat the Table root Rule simple fraction Simple Numbers sold SOLUTION subtract tens third thousand TROY WEIGHT U. S. MONEY weight whole number
Popular passages
Page 181 - Remove the decimal point as many places to the left as there are ciphers in the divisor.
Page 137 - 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 92 - Thirty days hath September, April. June, and November; All the rest have thirty.one, Save February, which alone Hath twenty.eight; and one day more We add to it one year in four.
Page 26 - It shows that the numbers between which it is placed, are to be multiplied together. Thus the expression 9x6, signifies that 9 and 6 are to be multiplied together, and is read, " 9 multiplied by 6," or, simply,
Page 158 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 224 - 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 all the payments are absorbed ; provided the time between one payment and another be one year or more.
Page 83 - Measure 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30j square yards = 1 square rod (sq.
Page 221 - 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 221 - 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...
Page 127 - ... that is, the fraction takes its name or denomination from the number of parts, into which the unit is divided. Thus, if the unit be divided into 16 parts, the parts are called sixteenths, and 5 of these parts would be 5 sixteenths, expressed thus, -f%.