## 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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Reduction ascending and descending are arranged in parallel

Reduction ascending and descending are arranged in parallel

**columns**and the answers to the questions of one**column**are found in the corresponding questions ... Page 6

Proceeding to the

Proceeding to the

**column**of tens , we say , 2 and 3 are 7 , and write the 5 directly under the**column**of tens . Then will the 5 tens and 9 units each stand ... Page 7

the

the

**columns**of tens , hundreds , & c . always remembering , that ten units of ... Begin at the top , and reckon each**column**downwards , and if their amounts ... Page 10

... as there are lines , or 3 times 5 = 15 , and as many times 3 as there are

... as there are lines , or 3 times 5 = 15 , and as many times 3 as there are

**columns**, or 5 times 3:15 . This proves that 5 multiplied by 3 gives the same ... Page 26

... tenth and 4 hundredths ; we Ans . 1.24 ft . therefore reserve the 0.1 , to be united with the tenths , and write the 4 under the

... tenth and 4 hundredths ; we Ans . 1.24 ft . therefore reserve the 0.1 , to be united with the tenths , and write the 4 under the

**column**of hundredths .### What people are saying - Write a review

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### Common terms and phrases

acres added Addition amount ANALYSIS answer 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 fall feet figures foot four fraction gain gallon give given given number greater half Hence hundred hundredths inches interest least length less mean measure method miles months multiplicand multiply names operation payment period person pound present 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 weight worth write written yard

### Popular passages

Page 76 - 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 109 - 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 97 - Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator.

Page 74 - Is when the several shares of stock are continued in trade an equal term of time. RULE. As the whole stock is to the whole gain or loss : so is each man's particular stock, to his particular share of the gain or loss.

Page 105 - 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 67 - In any proportion, the product of the means is equal to the product of the extremes.

Page 68 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.

Page 120 - RULE. Multiply all the terms of the natural series of numbers, from 1 up to the given number, continually together, and the last product will be the answer required. ExAMPLEs.

Page 89 - Divide the greater number by the less, and that divisor by the remainder, and so on, always dividing the last divisor by the last remainder, till nothing remain.