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

### From inside the book

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Page 7

A man has three fields , | bushels of rye , worth 90 dolone contains 12

. | | lars , and 90 bushels of corn , ther 23

how many 47

A man has three fields , | bushels of rye , worth 90 dolone contains 12

**acres**, ano. | | lars , and 90 bushels of corn , ther 23

**acres**, and the other worth 45 dollars ;how many 47

**acres**; how many**acres**are bushels have I , and what is it there in ... Page 19

A field of 34

, | 16 . A gentleman , who ownhow much was that per

land , purAns . 30 bush . | chased 376

men ...

A field of 34

**acres**pro - | there in each ? Ans . 6960 . duced 1020 bushels of corn, | 16 . A gentleman , who ownhow much was that per

**acre**? led 520**acres**ofland , purAns . 30 bush . | chased 376

**acres**more , and 10 . A privateer of 175men ...

Page 22

1 Ans . 640 rods , or 4

numand the ... A certain product is how many bushels was that 484848 , and the

multiplicand to the

14 ...

1 Ans . 640 rods , or 4

**acres**. 2 . If the minuend be 111 , 1 13 . The sum of twonumand the ... A certain product is how many bushels was that 484848 , and the

multiplicand to the

**acre**? Ans . 41 . is 1036 , what is the multipli - 18 . If I plant in14 ...

Page 45

In 1728 qr . how many quarters ? F . ells ? Square Measure . 1 . In 1500

how many 1 1 . In 24000 rd . how many cods ? lacres ? 2 . In a township 6 miles 2

. In 23040

In 1728 qr . how many quarters ? F . ells ? Square Measure . 1 . In 1500

**acres**how many 1 1 . In 24000 rd . how many cods ? lacres ? 2 . In a township 6 miles 2

. In 23040

**acres**how masquare , how many**acres**? ny miles ? 3 . In 24 square ... Page 55

... till Jan . eontaining three quarters of 26 , 1824 ; what was the length an

are there in a square of time ? mile ? ... 7

12 A . 1 860 | B . 1 69 50 The average in this

...

... till Jan . eontaining three quarters of 26 , 1824 ; what was the length an

**acre**,are there in a square of time ? mile ? ... 7

**acres**, another 10**acres**, and the other12 A . 1 860 | B . 1 69 50 The average in this

**acres**and 1 rood ; how many c . i 72...

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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.