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

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Page 22

304 - 15 = 45 ,

. two numbers is 723 , and their sum 4 . The sum of two numis 1111 , what are the

numbers is 8392 , and one of them bers ? 194 la is 4785 , what is the other ?

304 - 15 = 45 ,

**greater**. and the remainder 131 , what is the minuend ? Ans . 776. two numbers is 723 , and their sum 4 . The sum of two numis 1111 , what are the

numbers is 8392 , and one of them bers ? 194 la is 4785 , what is the other ?

Page 74

Moreover it is obvious , that if 4 men can do a piece of work in 6 days , twice the

numwill do it in half the time , or 3 days ; and generally the

men , the less the time , and the reverse ; and also , the longer the time , the less

...

Moreover it is obvious , that if 4 men can do a piece of work in 6 days , twice the

numwill do it in half the time , or 3 days ; and generally the

**greater**the number ofmen , the less the time , and the reverse ; and also , the longer the time , the less

...

Page 83

From the foregoing examples it appears , that the less the price of any simple

differs from that of the mixture , the quantity required of that simple to form the

mixture will be proportionately

...

From the foregoing examples it appears , that the less the price of any simple

differs from that of the mixture , the quantity required of that simple to form the

mixture will be proportionately

**greater**, and the**greater**the difference the less the...

Page 96

Now , if we divide 48 so long as we can find any number

divide them both without a remainder , the fraction will evidently be diminished to

the Icast terms which are capable of expressing it , since the two ...

Now , if we divide 48 so long as we can find any number

**greater**than 1 which willdivide them both without a remainder , the fraction will evidently be diminished to

the Icast terms which are capable of expressing it , since the two ...

Page 116

Divide the

the legger number by this roots and the product will be the lesser mean ; multiply

this mean by the same root , and the product will be the

Divide the

**greater**by the less , and extract the cube root of the quotient ; multiplythe legger number by this roots and the product will be the lesser mean ; multiply

this mean by the same root , and the product will be the

**greater**mean .### What people are saying - Write a review

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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.