The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for the Use of Schools in the United States |
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Page 14
difference between 75 and 43 . From an inspection of these examples , it will be
seen that Subtraction is , in effect , the separating of the minuend into two parts ,
one of which is the subtrahend , and the other the remainder , Hence , to show
the ...
difference between 75 and 43 . From an inspection of these examples , it will be
seen that Subtraction is , in effect , the separating of the minuend into two parts ,
one of which is the subtrahend , and the other the remainder , Hence , to show
the ...
Page 83
Exchanging these differences in the above examples , we have in the first , 5 lb .
at 40 cents , with 5 lb . at 60 cts . , or equal ... Then if only one difference stand
against any rate , it will express the relative quantity to be taken of that rate ; but if
...
Exchanging these differences in the above examples , we have in the first , 5 lb .
at 40 cents , with 5 lb . at 60 cts . , or equal ... Then if only one difference stand
against any rate , it will express the relative quantity to be taken of that rate ; but if
...
Page 103
What is the difference 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 of a yard ? Here we cannot subtract from , for
the ...
What is the difference 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 of a yard ? Here we cannot subtract from , for
the ...
Page 118
When numbers increase by a common excess , or decrease by a common
difference , they are said to be in Arithmetical Progression . When the numbers
increase , as 2 , 4 , 6 , 8 , & c . , they form an ascending series , and when they
decrease ...
When numbers increase by a common excess , or decrease by a common
difference , they are said to be in Arithmetical Progression . When the numbers
increase , as 2 , 4 , 6 , 8 , & c . , they form an ascending series , and when they
decrease ...
Page 119
A man has 12 sons whose ries be 8 , the last 108 , and ages are in arithmetical
prothe number of terms 21 , what gression ; th youngest is 2 is the common
difference ? years old , and the oldest 35 ; 1088 : 21 — 1 = 5 Ans . what is the
common ...
A man has 12 sons whose ries be 8 , the last 108 , and ages are in arithmetical
prothe number of terms 21 , what gression ; th youngest is 2 is the common
difference ? years old , and the oldest 35 ; 1088 : 21 — 1 = 5 Ans . what is the
common ...
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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.