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

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Page

TO THE PUBLIC . iti WHEN the improved edition of this work was published , in

1828 , it was intended that the

third parts should always be accompanied by the Mental Arithmetic embraced in

...

TO THE PUBLIC . iti WHEN the improved edition of this work was published , in

1828 , it was intended that the

**Written**Arithmetic which forms the sec . ond andthird parts should always be accompanied by the Mental Arithmetic embraced in

...

Page 1

individual thing taken as a standard of compari son , is called unity , a unit , or

one . 71 . Number is a collection of units , or ones . 72 . Numbers are formed in

the ...

**WRITTEN**ARITHMETIC . SECTION ka NOTATION AND NUMERATION 70 . Anindividual thing taken as a standard of compari son , is called unity , a unit , or

one . 71 . Number is a collection of units , or ones . 72 . Numbers are formed in

the ...

Page 2

To save the trouble of

computations inore easy , characters , or symbols , have been invented , by

which the

To save the trouble of

**writing**large numbers in words , and to rendercomputations inore easy , characters , or symbols , have been invented , by

which the

**written**expression of numbers is very much abridged . The method of**writing**numbers ... Page 60

... 1 be 12 cents for 12 months , the interest of gi for 1 month will be 1 cent , for 2

months 2 cents , for 3 inonths 3 cents and generally the number of months

as só many cents , or hundredths of a dollar , will be the interest for that time .

... 1 be 12 cents for 12 months , the interest of gi for 1 month will be 1 cent , for 2

months 2 cents , for 3 inonths 3 cents and generally the number of months

**written**as só many cents , or hundredths of a dollar , will be the interest for that time .

Page 102

As both the fractions are 9ths of the same unit , the magnitude of the parts is the

same in both the nunber of parts , 3 and 4 , may therefore be added as whole

numbers , and their sum , 7 ,

given ...

As both the fractions are 9ths of the same unit , the magnitude of the parts is the

same in both the nunber of parts , 3 and 4 , may therefore be added as whole

numbers , and their sum , 7 ,

**written**over 9 , thus , fi ex presses the sum of twogiven ...

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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.