## 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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**remainder**will be the answer . 14. Multiply 99 by 9 .. 15 Multiply 6473 by 999 . 3. SUBTRACTION . ANALYSIS . 94. 1. A boy having 18 cents , lost 6 of them ; how many had he left ? Here is a collection of 18 cents , and we wish to know ... Page 14

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**remainder**. Hence , to show the correctness of the operation , we have only to recom- pose the minuend by adding together the subtrahend and**remainder**. 96. 3. A person owed 727 dollars , of which he paid 542 dollars ; how much remains ... Page 15

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**remainder**and the subtrahend , and if the work be right , their sum will equal the minuend . QUESTIONS FOR PRACTICE . 6. In 1810 , Montpelier con- | 12. What number is that tained 1877 inhabitants , and which taken from 365 , leaves in ... Page 17

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**remainder**to be 1 , which is 1 hundred . To the 1 we bring down the 4 tens , making 14 tens ; but as this is less than the divisor , there can be no tens in the quotient . We therefore put a cipher in the ten's place in the quotient ... Page 18

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**remainder**, 44 , is less than 56 , the divisor . In multiplying the divisor by the quotient figure , if the product be greater than the part of the dividend used , the quotient figure is too great ; and in subtracting this product , if ...### Other editions - View all

### Common terms and phrases

3qrs acres Addition amount ANALYSIS answer bush bushels called ciphers circumference column common denominator common difference compound interest contains cost cube root cubic decimal decimal places denoted diameter divi divide dividend division dollars dolls DRY MEASURE equal evidently expressed factors Federal Money feet long foot gain gallon given number given to find greatest common divisor Hence hundred hundredths inches last term least common multiple left hand leger lemons length man's share measure merator method miles minuend mixed number multiplicand multiply number of figures number of terms payment pence pound present worth principal proportion quantity quarts QUESTIONS FOR PRACTICE ratio Reduce remainder right hand rods RULE RULE.-Multiply shillings side simple square root subtract subtrahend supposed tens tenths tion Troy weight units velocity vulgar fraction weight whole number write

### 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.