A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the Best Mode of Instruction in Common Schools and Academies |
From inside the book
Results 1-5 of 47
Page
... Number into its Prime Factors , 3. To Find All the Integral Factors of a Number , 14 20 26 36 37 45 48 51 54 • 54 ... Terms , 6. To Reduce an Improper Fraction to a Whole or Mixed Number , • 59 62 64 65 67 68 72 74 • • 75 7. To Reduce a ...
... Number into its Prime Factors , 3. To Find All the Integral Factors of a Number , 14 20 26 36 37 45 48 51 54 • 54 ... Terms , 6. To Reduce an Improper Fraction to a Whole or Mixed Number , • 59 62 64 65 67 68 72 74 • • 75 7. To Reduce a ...
Page 3
... numbers which have been expressed by figures . 14. The first Arabic figure , 0 , is called a cipher ... number placed under it , and , for convenience in distinguishing them from 0 , they are called significant figures . ― NOTE . The terms ...
... numbers which have been expressed by figures . 14. The first Arabic figure , 0 , is called a cipher ... number placed under it , and , for convenience in distinguishing them from 0 , they are called significant figures . ― NOTE . The terms ...
Page 50
... numbers known are 1 , 6 , 28 , 496 , 8128 , 33550336 , 8589869056 , 137438691328 and 2305843008139952128 . NOTE 2 . - All known ... number , for the sum of its factors , 1 + 2 + 4 + 8 = 15 < 2. X 8 . 96. ALL ... terms ; 50 SIGNS , DEFINITIONS.
... numbers known are 1 , 6 , 28 , 496 , 8128 , 33550336 , 8589869056 , 137438691328 and 2305843008139952128 . NOTE 2 . - All known ... number , for the sum of its factors , 1 + 2 + 4 + 8 = 15 < 2. X 8 . 96. ALL ... terms ; 50 SIGNS , DEFINITIONS.
Page 51
... terms ; i . e . , if one number is a measure of another , the 2d is necessarily a multiple of the 1st ; thus , if 3 ... number is considered both a measure and a multiple of itself . 102. A common measure of two or more numbers is any ...
... terms ; i . e . , if one number is a measure of another , the 2d is necessarily a multiple of the 1st ; thus , if 3 ... number is considered both a measure and a multiple of itself . 102. A common measure of two or more numbers is any ...
Page 54
... number into its prime factors , RULE . - Divide the given number by any prime number greater than one , that will ... terms of one of these series by the terms of another , term by term , and keep the terms of the product separate ; then ...
... number into its prime factors , RULE . - Divide the given number by any prime number greater than one , that will ... terms of one of these series by the terms of another , term by term , and keep the terms of the product separate ; then ...
Contents
1 | |
2 | |
36 | |
45 | |
48 | |
54 | |
55 | |
59 | |
124 | |
140 | |
147 | |
155 | |
161 | |
171 | |
178 | |
187 | |
67 | |
68 | |
72 | |
75 | |
77 | |
79 | |
82 | |
89 | |
95 | |
98 | |
117 | |
201 | |
210 | |
228 | |
247 | |
260 | |
281 | |
291 | |
298 | |
316 | |
338 | |
347 | |
Other editions - View all
Common terms and phrases
2d Principal acres altitude amount angle annex annuity arithmetical arithmetical series base Bought breadth bushels cent ciphers circle circumference common difference compound interest cost cube root cubic debt decimal fraction decimal places diameter Divide dividend divisible dollars dominical letter equal equated example feet long figure frustum gain gallons given number greatest common measure Hence hundred inches insured interest of $1 least common multiple length lower denomination marked price miles minuend months multiplicand Multiply NOTE number of terms OPERATION oxen payable payment plane polygon pound present worth PROB proportion quotient radius ratio Reduce remainder repetend rods RULE RULE.-Divide RULE.-Multiply separatrix Sept side simple slant height sold solid sphere square root subtract subtrahend surface thick thousandths trial divisor triangle Troy weight units vulgar fraction weight whole number wide yards
Popular passages
Page 26 - The number to be divided is called the dividend. The number by which we divide is called the divisor.
Page 76 - 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 43 - DRY MEASURE 2 pints (pt.) = 1 quart (qt.) 8 quarts =1 peck (pk.) 4 pecks = 1 bushel (bu...
Page 80 - Therefore, multiplying both terms of a fraction by the same number does not alter its value.
Page 210 - The square root of a number is one of its two equal factors.
Page 223 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 141 - RULE. Divide the given interest by the interest of the principal, for the given time, at 1 per cent., and the quotient will be the rate.
Page 51 - The least common multiple of two or more numbers is the least number that is exactly divisible by each of them.
Page 33 - To divide by 10, 100, &c., we simply cut off as many figures from the right of the dividend as there are ciphers in the divisor.
Page 75 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.