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

### From inside the book

Page 20

... there be in each ? 4256X17 If there were to be kut : 7

237-6 rem . lst . vide by 7 , and find the

of 6 dollars ; bat as there are to be 6 times : 7

... there be in each ? 4256X17 If there were to be kut : 7

**shares**, we chould di-7 )237-6 rem . lst . vide by 7 , and find the

**shares**to be $ 33 cach , urith a remainderof 6 dollars ; bat as there are to be 6 times : 7

**shares**, each**share**will be only ... Page 56

... viz . said c allowing 15 ° to make an hour ? whould pay D $ 70 ; P said C Ans .

2h . 6 281 " . 5 the ment , Ans . $ 130.222man's

number called 7. How is the year commonly di compound , or complex ? vided ?

... viz . said c allowing 15 ° to make an hour ? whould pay D $ 70 ; P said C Ans .

2h . 6 281 " . 5 the ment , Ans . $ 130.222man's

**share**REVIEW . 1 . Whep arenumber called 7. How is the year commonly di compound , or complex ? vided ?

Page 80

In other words , the whole amount put in , will be to the whole gain as each man's

are equal to 1 cow ( 4x9 = ) 36 weeks ; their

In other words , the whole amount put in , will be to the whole gain as each man's

**share**of the amount put in , is to his ... ( 3x8 = ) 24 weeks , and 4 cows 9 weeksare equal to 1 cow ( 4x9 = ) 36 weeks ; their

**shares**, then , of the pasturage are ... Page 81

Three men hire a pasture 4 among men , so that their

puts in 40 oxen be as 1 , 2 , 3 , and 4 . for ... 5 months , and C put $ 950 left ; what

was each in 9 for 6 months ; how much son's

Three men hire a pasture 4 among men , so that their

**shares**shall for $ 100 ; Aputs in 40 oxen be as 1 , 2 , 3 , and 4 . for ... 5 months , and C put $ 950 left ; what

was each in 9 for 6 months ; how much son's

**share**? must each pay of the rent ? Page 146

Four men bought a grindstone 6 ) i..ches in diaineter ; how much of its diaineter

must cacla grind utf t . lave an equal

, and then another , till the stone is ground away , making no allows ance for the ...

Four men bought a grindstone 6 ) i..ches in diaineter ; how much of its diaineter

must cacla grind utf t . lave an equal

**share**of the stone , if one grind his**share**first, and then another , till the stone is ground away , making no allows ance for the ...

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### Common terms and phrases

acres added Addition amount ANALYSIS answer 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 multiplicand 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.