The United States Arithmetic: Designed for Academies and Schools |
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Page 9
... expressed without naming the species of the units ; as when we say simply four or four times , five or five times . Q. What is a concrete number ? A. A concrete number is always applied to some kind of thing , as when we say three ...
... expressed without naming the species of the units ; as when we say simply four or four times , five or five times . Q. What is a concrete number ? A. A concrete number is always applied to some kind of thing , as when we say three ...
Page 13
... expression of numbers ? A. Yes . It enables one to read or write as one whole , that which is already written as a ... expressed by one number as their sum , unless a unit or 1 , in one of them , be precisely equal to a unit or 1 , in ...
... expression of numbers ? A. Yes . It enables one to read or write as one whole , that which is already written as a ... expressed by one number as their sum , unless a unit or 1 , in one of them , be precisely equal to a unit or 1 , in ...
Page 14
... expressed by the single number 5 , though that number contains just as many times 1 as are in them both . But one dollar and four dollars , or four cents and one cent , can each be expressed by the sum 5 , that being 5 dollars in the ...
... expressed by the single number 5 , though that number contains just as many times 1 as are in them both . But one dollar and four dollars , or four cents and one cent , can each be expressed by the sum 5 , that being 5 dollars in the ...
Page 28
... expressed by another number , and showing to how much the repetition amounts . Q. Must there always be two numbers given in every case of multiplication ? A. There must always be two numbers given , the one of which represents the ...
... expressed by another number , and showing to how much the repetition amounts . Q. Must there always be two numbers given in every case of multiplication ? A. There must always be two numbers given , the one of which represents the ...
Page 94
... expressed by three or more figures . RULE . 1. Multiply by as many tens less one , as there are figures in the multiplier . 2. Multiply the last product by the left hand figure in the multiplier . 3. Then multiply the first line by the ...
... expressed by three or more figures . RULE . 1. Multiply by as many tens less one , as there are figures in the multiplier . 2. Multiply the last product by the left hand figure in the multiplier . 3. Then multiply the first line by the ...
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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.