The United States Arithmetic: Designed for Academies and Schools |
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Page 105
... denominator shows into how many parts the unit is divided , and the numerator shows how many of those parts are ... denominator . Q. What do the denominator and numerator point out ? A. The denominator expresses the number of parts into ...
... denominator shows into how many parts the unit is divided , and the numerator shows how many of those parts are ... denominator . Q. What do the denominator and numerator point out ? A. The denominator expresses the number of parts into ...
Page 106
... denominator , or for both ; as , } , } , 6 , Q. When are fractions equal to unity ? & c . A. All fractions whose numerators and denominators are the same ; as ,,, 241 , & c . , are equal to unity , and also to each other . Q. When are ...
... denominator , or for both ; as , } , } , 6 , Q. When are fractions equal to unity ? & c . A. All fractions whose numerators and denominators are the same ; as ,,, 241 , & c . , are equal to unity , and also to each other . Q. When are ...
Page 107
... denominator and numerator change places . Q. When is a fraction said to be in its lowest terms ? A. When its terms are prime to each other ; that is , when no number but a unit will measure them both . Q. Upon what does the value of a ...
... denominator and numerator change places . Q. When is a fraction said to be in its lowest terms ? A. When its terms are prime to each other ; that is , when no number but a unit will measure them both . Q. Upon what does the value of a ...
Page 111
... denominator of the fraction . ELUCIDATION . All fractions represent a division of the numerator by the denominator , and are taken altogether as proper and adequate expressions for the quotient . Thus , the quotient of 3 , divided by 7 ...
... denominator of the fraction . ELUCIDATION . All fractions represent a division of the numerator by the denominator , and are taken altogether as proper and adequate expressions for the quotient . Thus , the quotient of 3 , divided by 7 ...
Page 112
... denominator , and the quo- tient will be the whole or mixed number required . EXAMPLES . 1. Reduce 379 to its mixed number . 14 14 ) 379 ( 27 28 99 98 1 2. Reduce to its equivalent whole or mixed number . 3. Reduce 1245 to its proper ...
... denominator , and the quo- tient will be the whole or mixed number required . EXAMPLES . 1. Reduce 379 to its mixed number . 14 14 ) 379 ( 27 28 99 98 1 2. Reduce to its equivalent whole or mixed number . 3. Reduce 1245 to its proper ...
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The United States Arithmetic: Designed for Academies and Schools William Vodges William Vogdes No preview available - 2019 |
Common terms and phrases
1hhd 6fur acres amount Answer arithmetical arithmetical progression barrels barter bill Bought breadth bushels cents per lb ciphers circumference common difference compound compound interest containing cost cube cubic currency decimal diameter discount Divide dividend divisor dollars DRY MEASURE equal EXAMPLES federal money feet figures furlongs gain gallons geometrical progression geometrical series given number greatest common measure gross hogsheads improper fraction inches interest last term least common multiple length lowest terms merchant miles MISCELLANEOUS EXERCISES mixed number months multiplicand Multiply neat weight number of terms Ohhd ounces payable payment pence perches person piece present worth PROBLEM Proof quantity quotient Reduce remainder rix-dollar roods RULE shillings side silver simple fraction sold solid square root square yards subtract sugar tare triangle TROY WEIGHT United vulgar fraction whole number wine yards of cloth
Popular passages
Page 62 - LIQUID MEASURE 4 gills (gi.) = 1 pint (pt.) 2 pints = 1 quart (qt.) 4 quarts = 1 gallon (gal.) 31| gallons = 1 barrel (bbl...
Page 213 - The extremes and number of terms being given, to find the sum of all the terms. RULE. Multiply the sum of the extremes by the number of the terms, and half the product will be the sum of all the terms.
Page 54 - Scale: 4 farthings (far.) = 1 penny (d.); 12 pence = 1 shilling (s.) ; 20 shillings — 1 pound (£). 156.
Page 174 - 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 61 - TABLE. 4 nails, (na.) or 9 inches, make 1 quarter, marked qr. 4 quarters, or 36 inches, - 1 yard, - - - - yd. 3 quarters, ------ 1 ell Flemish, - - E. Fl 5 quarters, ------ 1 ell English, - - EE 6 quarters, ------ 1 ell French, - - E. Fr 27.
Page 124 - 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 111 - Operations with Fractions A) To change a mixed number to an improper fraction, simply multiply the whole number by the denominator of the fraction and add the numerator.
Page 215 - 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 terns. EXAMPLES. 1. If the extremes be 3 and 45, and the common difference 2 ; what is the number of terms 1 Ans.
Page 203 - ... a point over the place of units, another over the place of hundreds, and so on, which points show the number of figures the root will consist of.
Page 175 - 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.