## The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |

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Page 3

Here we have the

value . The 2 in the second ... We have seen that all numbers may be expressed

by repeating and varying the position of ten

Here we have the

**figure**2 repeated three times , and each time with a differenivalue . The 2 in the second ... We have seen that all numbers may be expressed

by repeating and varying the position of ten

**figures**. In doing this , we have to ... Page 21

And as all the

considered hundreds , we inay in like manner divide b 100 , by cutting off ' two

1000 ...

And as all the

**figures**of a number , higher than in the ten ' s place , may beconsidered hundreds , we inay in like manner divide b 100 , by cutting off ' two

**figures**from the right of the dividend ; and , generally , III . To dividc by 10 , 100 ,1000 ...

Page 109

109 and employed as factors ; the cube of 1 is ( ixixi = ) 1 , two

the number employed as factors , and so on . The least rooi consisting of two

the ...

109 and employed as factors ; the cube of 1 is ( ixixi = ) 1 , two

**figures**less thanthe number employed as factors , and so on . The least rooi consisting of two

**figures**is 10 , whosc square is ( 10X10 _ ) 100 , which has one**figure**less thanthe ...

Page 110

Now to understand the method of ascertain rtaining these two

well to consider how the square of a root ... See this exhibited 400 square of the

lens , in

of ...

Now to understand the method of ascertain rtaining these two

**figures**, it may bewell to consider how the square of a root ... See this exhibited 400 square of the

lens , in

**figure**F . As 10x10 = 100 , the square of the tens can never make a partof ...

Page 127

In fractions of this last kind , whose decimal value cannot be exactly found , it will

be observed that the same

they have been denominated periodical decimals . 296 . Since in the reduction of

...

In fractions of this last kind , whose decimal value cannot be exactly found , it will

be observed that the same

**figures**return periodically in the same order Hencethey have been denominated periodical decimals . 296 . Since in the reduction of

...

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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.