## 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 13

17 If now we

or multiplied by 9 . Ans . 153 13 . A certain cornfield contains 228 rows , which

are 99 hills long ; how many hills are there ? 22800 Annexing two ciphers to 228

...

17 If now we

**subtract**17 from this product , we have the 17 nine - times repeated ,or multiplied by 9 . Ans . 153 13 . A certain cornfield contains 228 rows , which

are 99 hills long ; how many hills are there ? 22800 Annexing two ciphers to 228

...

Page 14

From an inspection of these examples , it will be seen that

, the separating of the minuend into two parts ... From the 12 we now

4 , and write the remainder , 8 , at the left hand of the 5 , in the ten ' s place .

From an inspection of these examples , it will be seen that

**Subtraction**is , in effect, the separating of the minuend into two parts ... From the 12 we now

**subtract**the4 , and write the remainder , 8 , at the left hand of the 5 , in the ten ' s place .

Page 29

those in ... In numbers given for Addition or

...

**SUBTRACTION**OF DECIMALS . ... Begina ning at the right ,**subtract**as in Simple**Subtraction**, ( 99 ) and place the decimal point in the remainder directly underthose in ... In numbers given for Addition or

**Subtraction**, the decimal places may...

Page 49

20lb . the 2d , 9cwł and chimney cover 2rd . llin . ; ler . 1502 . ; and the 3d , 11cwt

how much land does the whole 15lb . 14dr . ? house occupy ? Ang . 1 ton , 10 cwt

. 2 qr . 7 Ile Ans . Brd . lyd . Ift . 35in . | 15 oz . 14 de 3 .

20lb . the 2d , 9cwł and chimney cover 2rd . llin . ; ler . 1502 . ; and the 3d , 11cwt

how much land does the whole 15lb . 14dr . ? house occupy ? Ang . 1 ton , 10 cwt

. 2 qr . 7 Ile Ans . Brd . lyd . Ift . 35in . | 15 oz . 14 de 3 .

**Subtraction**. 149 . 1 . Page 103

between of a dollar and % of a dollar ? By evidently expresses 2 tonths more

than 3 tenths ; Zg then is the differenee . 2 . What is the difference between & of a

yard and ...

**SUBTRACTION**OF FRACTIONS . : ANALYSIS . 1 . What is the differencebetween of a dollar and % of a dollar ? By evidently expresses 2 tonths more

than 3 tenths ; Zg then is the differenee . 2 . What is the difference between & of a

yard and ...

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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.