The United States Arithmetic: Designed for Academies and Schools |
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Page vi
... Square Root , Extraction of the Cube Root , Arithmetical Symbols , Arithmetical Progression , Geometrical Progression , Permutation , Combination , Alligation , Position , 66 Single , 66 Double , Annuities , Exchange , Acceptance of a ...
... Square Root , Extraction of the Cube Root , Arithmetical Symbols , Arithmetical Progression , Geometrical Progression , Permutation , Combination , Alligation , Position , 66 Single , 66 Double , Annuities , Exchange , Acceptance of a ...
Page 8
... Signs of involution ; denoting that 4 is to be squared , cubed , or raised to the 4th power . ✓or Signs of the square root . Sign of the cube root . .. Therefore , or consequently . viii ARITHMETIC . § 1. ARITHMETIC is the art of ...
... Signs of involution ; denoting that 4 is to be squared , cubed , or raised to the 4th power . ✓or Signs of the square root . Sign of the cube root . .. Therefore , or consequently . viii ARITHMETIC . § 1. ARITHMETIC is the art of ...
Page 200
... root . A power is a quantity produced by multiplying any given number , called the root , a certain number of times con- tinually by itself . Thus , 2 = 2 , the root , 1st power of 2 . 2x2 = 4 , the 2d power , or square of 2 . 2 × 2 ...
... root . A power is a quantity produced by multiplying any given number , called the root , a certain number of times con- tinually by itself . Thus , 2 = 2 , the root , 1st power of 2 . 2x2 = 4 , the 2d power , or square of 2 . 2 × 2 ...
Page 201
... root , 2 of the second power or square , 3 of the third power or cube , 4 of the fourth power , & c . Powers that are to be raised , are denoted by placing the index above the root or first power - thus , 22-4 the 2d power of 2 . 23-8 ...
... root , 2 of the second power or square , 3 of the third power or cube , 4 of the fourth power , & c . Powers that are to be raised , are denoted by placing the index above the root or first power - thus , 22-4 the 2d power of 2 . 23-8 ...
Page 202
... square of 322 ? 13. The cube of 83 ? 14. The square of 44 ? 15. The cube of 25 ? 16. The cube of 29 ? Q. What is the power , root , and exponent of a number ? Q. How do you find the power of a number ? Q. How do you raise a fraction to ...
... square of 322 ? 13. The cube of 83 ? 14. The square of 44 ? 15. The cube of 25 ? 16. The cube of 29 ? Q. What is the power , root , and exponent of a number ? Q. How do you find the power of a number ? Q. How do you raise a fraction to ...
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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.