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

### From inside the book

Page 7

Begin at the top , and reckon each column downwards , ard if their amounts

agree with the former , the

NOTE . — No method of proving an arithmetical

work ...

Begin at the top , and reckon each column downwards , ard if their amounts

agree with the former , the

**operation**is supposed to have been rightly performed .NOTE . — No method of proving an arithmetical

**operation**will demonstrate thework ...

Page 10

We may therefore prove multiplication by changing the places of the factors , and

repeating the

the method of finding the amount of a given number by repeating it a proposed ...

We may therefore prove multiplication by changing the places of the factors , and

repeating the

**operation**. SIMPLE MULTIPLICATION . 87. Simple Multiplication isthe method of finding the amount of a given number by repeating it a proposed ...

Page 23

By what narne would you mental

divided ? [ 105 ) Ans ... Where there is a part of the are given , how do you find

their dividend left after performing the sun ?

is the ...

By what narne would you mental

**operations**in this section ? call the nuinberdivided ? [ 105 ) Ans ... Where there is a part of the are given , how do you find

their dividend left after performing the sun ?

**operation**, what is it called ? 4. Whatis the ...

Page 110

By this

unils is made up of the 9 square of units . square of the units , plus twice the

pro60 / iwice the product of duct of the tens , by the units , plus tho 60 / the tens by

units ...

By this

**operation**, it appears that the square of a number consisting of lens andunils is made up of the 9 square of units . square of the units , plus twice the

pro60 / iwice the product of duct of the tens , by the units , plus tho 60 / the tens by

units ...

Page 124

This

When the result has the same ratio to the supposition that the given number has

to the required one . Rull . - Suppose a number , and perform with it the ...

This

**operation**is called Single Position , and may be expressed as follows : 290.When the result has the same ratio to the supposition that the given number has

to the required one . Rull . - Suppose a number , and perform with it the ...

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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.