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

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Page 12

Hence to multiply by 10 , we jave only to annex a

because all the significant figures are ... For the reasons given under example 5 ,

a number is multiplied by 100 by placing two

...

Hence to multiply by 10 , we jave only to annex a

**cipher**to the multiplicand ,because all the significant figures are ... For the reasons given under example 5 ,

a number is multiplied by 100 by placing two

**ciphers**on the right of it , for the first...

Page 21

Cut off as mary Sures from the right band of the dividend as there are

the diviscr ; chose on the left will be the quotient , and thuse on he right , the

remainder . 8 . Divide 4633 - 131 by 1 mong 100 mion , how much 10000 . Quot .

Cut off as mary Sures from the right band of the dividend as there are

**ciphers**inthe diviscr ; chose on the left will be the quotient , and thuse on he right , the

remainder . 8 . Divide 4633 - 131 by 1 mong 100 mion , how much 10000 . Quot .

Page 30

Hence by annexing

continued , and in pointing the result , the

decimals belonging to the dividend . 127 . 3 . What is the quotient of 0 . 0084 by ...

Hence by annexing

**ciphers**to the remainder of a division , the operation may becontinued , and in pointing the result , the

**ciphers**annexed are to be regarded asdecimals belonging to the dividend . 127 . 3 . What is the quotient of 0 . 0084 by ...

Page 31

If there are not so many figures in the quotient as the number of decimal places

required , supply the deficiency by prefixing

places in the divisor exceed those in the diviSlend , make them equal by

annexiug ...

If there are not so many figures in the quotient as the number of decimal places

required , supply the deficiency by prefixing

**ciphers**. 2 . - Should the decimalplaces in the divisor exceed those in the diviSlend , make them equal by

annexiug ...

Page 32

Now if we add a

tenths divided by 2 , the quotient is 0 . 5 . ... Annex

numcrator , and divide by the denominator , so long as there shall be a remainder

, or ...

Now if we add a

**cipher**to the dividend , 1 , it becomes 10 tenths ; ( 126 ) and 10tenths divided by 2 , the quotient is 0 . 5 . ... Annex

**ciphers**continually to thenumcrator , and divide by the denominator , so long as there shall be a remainder

, or ...

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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.