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

### From inside the book

Page 5

The child may not be able to

how to form numbers by the successive addition of unity , ( 2 , 72 , ) he will

perceive that he can get the

times ...

The child may not be able to

**answer**the quiestion at once ; but having learnedhow to form numbers by the successive addition of unity , ( 2 , 72 , ) he will

perceive that he can get the

**answer**correctly , either by adding a unit ' to 4 threetimes ...

Page 74

8 then is the

in 6 days , twice the number men will do it in half the time , or 3 days ; and

generally the greater the number of men , the less the time , and the reverse ; and

also ...

8 then is the

**answer**. Moreover is is obvious , that if 4 men can do a piece of workin 6 days , twice the number men will do it in half the time , or 3 days ; and

generally the greater the number of men , the less the time , and the reverse ; and

also ...

Page 119

7 , and 7 , the mean price , multiplied by 5 , ibe number of lemons , equals ( 785 )

35 cents , the

terms given to find the sum of the series . RULE . - Multiply half the sum of the ...

7 , and 7 , the mean price , multiplied by 5 , ibe number of lemons , equals ( 785 )

35 cents , the

**answer**. Therefore , IV . The first and last term , and the number ofterms given to find the sum of the series . RULE . - Multiply half the sum of the ...

Page 123

... multiplier , remembering to carry one for every 12 from a lower to the next

higher denomination , and the sum of these partial products will be the

the left hand term being feet , and those towards the right primes , seconds , & c .

... multiplier , remembering to carry one for every 12 from a lower to the next

higher denomination , and the sum of these partial products will be the

**answer**,the left hand term being feet , and those towards the right primes , seconds , & c .

Page 136

--Cube one of its sides , that is , multiply the side by itself , and that product by the

side again , and the last product will be the

How many cubic inches of a cube be 22 feet , what is in a cube whose side is 24

...

--Cube one of its sides , that is , multiply the side by itself , and that product by the

side again , and the last product will be the

**answer**. 1. If the length of the side 2.How many cubic inches of a cube be 22 feet , what is in a cube whose side is 24

...

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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 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 multiplicand 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.