The United States Arithmetic: Designed for Academies and SchoolsE. C. & J. Biddle, 1847 - 256 pages |
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Page 15
... PROOF . 1. Draw a line below the uppermost number , and suppose it cut off . 2. Add all the rest together , and write their sum under the number to be proved . 3. Add this last found number and the uppermost line together , and if the ...
... PROOF . 1. Draw a line below the uppermost number , and suppose it cut off . 2. Add all the rest together , and write their sum under the number to be proved . 3. Add this last found number and the uppermost line together , and if the ...
Page 16
... proof ; and to make a false one appear true , there must be at least two errors which are directly opposite to each other ; and if there are two or more errors they must mutual- ly balance , but the chance against this particular ...
... proof ; and to make a false one appear true , there must be at least two errors which are directly opposite to each other ; and if there are two or more errors they must mutual- ly balance , but the chance against this particular ...
Page 22
... PROOF . Add the remainder to the less number , and if the sum be equal to the greater , the work is correct . Or , subtract the remainder from the greater number , the difference will give the less number . It may also be proved by ...
... PROOF . Add the remainder to the less number , and if the sum be equal to the greater , the work is correct . Or , subtract the remainder from the greater number , the difference will give the less number . It may also be proved by ...
Page 23
... Proof 85432 .. 4. 786-287 . 5. 936-604 . EXAMPLES . ( 2. ) ( 3. ) From 983450.2 From 7965014 Take 712654..7 Take 5832905 Rem . 270796..4 Rem . 2132109 . Proof 983450 Proof 7965014 22. 39489-22749 . 23. 48249-37888 . • 5 5 6. 387-114 . 7 ...
... Proof 85432 .. 4. 786-287 . 5. 936-604 . EXAMPLES . ( 2. ) ( 3. ) From 983450.2 From 7965014 Take 712654..7 Take 5832905 Rem . 270796..4 Rem . 2132109 . Proof 983450 Proof 7965014 22. 39489-22749 . 23. 48249-37888 . • 5 5 6. 387-114 . 7 ...
Page 30
... proof . Change the places of the multiplier and multiplicand , and if the product found from this operation is the same as be- fore , the work is correct . DEMONSTRATION . 1. When the multiplier is a single digit , it is evident that ...
... proof . Change the places of the multiplier and multiplicand , and if the product found from this operation is the same as be- fore , the work is correct . DEMONSTRATION . 1. When the multiplier is a single digit , it is evident that ...
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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.