The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |
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Page 108
The method of ascertaining , er extracting the roots of numbers ; or powers , is
called Evolution . The root of a number , or power , is a num . ber , which ,
multiplied by itself continually , a certain number of times , wil produce that power
, and is ...
The method of ascertaining , er extracting the roots of numbers ; or powers , is
called Evolution . The root of a number , or power , is a num . ber , which ,
multiplied by itself continually , a certain number of times , wil produce that power
, and is ...
Page 109
Again , the greatest root consisting of only one figure , is 9 , whose square is (
9X9 = ) 81 , which has just the number of figures in the factors , and whose cube
is ( 9x9 X9 _ ) 729 , just equal to the number of figures in the fact greatest root ...
Again , the greatest root consisting of only one figure , is 9 , whose square is (
9X9 = ) 81 , which has just the number of figures in the factors , and whose cube
is ( 9x9 X9 _ ) 729 , just equal to the number of figures in the fact greatest root ...
Page 111
207 SQUARE ROOT . 111 529 [ 23 43 ] 129 . : figure being necessary to preserve
the forin of the square , by filling the corner , we place it ai the right of the divisor ,
in place of the coplcr , which is always un129 derstood there , and tlien multiply ...
207 SQUARE ROOT . 111 529 [ 23 43 ] 129 . : figure being necessary to preserve
the forin of the square , by filling the corner , we place it ai the right of the divisor ,
in place of the coplcr , which is always un129 derstood there , and tlien multiply ...
Page 116
EXTRACTION OF ROOTS IN GENERAL . ANALYSIS . 273 . The roots of most of
the powers may be found by repeated oxtractions of the square and cube root .
Thus the 4th root is the square root uf the square root ; the sixth root is the square
...
EXTRACTION OF ROOTS IN GENERAL . ANALYSIS . 273 . The roots of most of
the powers may be found by repeated oxtractions of the square and cube root .
Thus the 4th root is the square root uf the square root ; the sixth root is the square
...
Page 117
What does extracting the Dumber he multiplied by itself , what square root mean
? What is the wilt the product be ( 253 ) ? What rule ? Of what is the square of a is
this operation called ? ' What is number consisting of tens and units the length ...
What does extracting the Dumber he multiplied by itself , what square root mean
? What is the wilt the product be ( 253 ) ? What rule ? Of what is the square of a is
this operation called ? ' What is number consisting of tens and units the length ...
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Common terms and phrases
acres added Addition amount ANALYSIS answer body bush bushels called cash cents Change ciphers column common compound contains cost cube cubic decimal denominator denoted diameter difference distance divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures foot four fraction gain gallon give given greater half Hence hundred hundredths inches interest least left hand length less mean measure method miles months multiply names operation payment period person pound principal proceed proportion quantity QUESTIONS FOR PRACTICE quotient ratio receive Reduce remainder right hand rods root rule share shillings side simple solid square square root subtract supposed tens tenths third tion units vulgar weight whole worth write written yard
Popular passages
Page 82 - Multiply each payment by its term of credit, and divide the sum of the products by the sum of the payments ; the quotient will be the average term of credit.
Page 89 - The greatest common divisor of two or more numbers, is the greatest number which will divide them without a remainder. Thus 6 is the greatest common divisor of 12, 18, 24, and 30.
Page 118 - PROBLEM II. The first term, the last term, and the number of terms given, to find the common difference. RULE. — Divide the difference of the extremes by the number of terms less 1 , and the quotient will be the common diffcrenct.
Page 111 - Subtract the square number from the left hand period, and to the remainder bring down the next period for a dividend. III. Double the root already found for a divisor ; seek how many times the divisor is contained in the dividend...
Page 94 - It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient.
Page 120 - Add together the most convenient indices to make an index less by 1 than the number expressing the place of the term sought. 3. Multiply the terms of the geometrical series together belonging to those indices, and make the product a dividend. 4. Raise...
Page 115 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 31 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Page 2 - Los números cardinales 0: zero 1: one 2: two 3: three 4: four 5: five 6: six 7: seven 8: eight 9: nine 10: ten 11: eleven 12: twelve 13: thirteen 14: fourteen 15: fifteen 16: sixteen 17: seventeen 18: eighteen 19: nineteen 20: twenty...
Page 93 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Bibliographic information
| Title | The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |
| Author | Zadock Thompson |
| Publisher | H. Johnson, 1838 |
| Original from | Harvard University |
| Digitized | 29 Jan 2007 |
| Length | 164 pages |
| Export Citation | BiBTeX EndNote RefMan |