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

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Page 88

25 , or å of the former ;

Here we perceive that multiplication by a decimal diminishes the multiplicand , or

, in other words , gives a product which is less than the multiplicand . 4 .

25 , or å of the former ;

**hence**0 . 25 ft . is evidently the product of 0 . 5 . by 0 . 5 ft .Here we perceive that multiplication by a decimal diminishes the multiplicand , or

, in other words , gives a product which is less than the multiplicand . 4 .

Page 123

09 due 1 year and 6 months

interest at the above rate , at the end of 1 year and 6 nionths , the amount will be

just sufficient to pay the $ 1 . 09 . Now as 1 dollar is the present worth of $ 1 .

09 due 1 year and 6 months

**hence**, without interest ; because if i dollar be put tointerest at the above rate , at the end of 1 year and 6 nionths , the amount will be

just sufficient to pay the $ 1 . 09 . Now as 1 dollar is the present worth of $ 1 .

Page 149

But to divide a number by a fraction , we multiply it by the denominator , and

divide the product by the numerator , ( 226 , ) ;

3 – 4 12 ( 220 ) 5 75 " and ız is divided by 3 by multiplying the denominator , 5 ,

by 8 ...

But to divide a number by a fraction , we multiply it by the denominator , and

divide the product by the numerator , ( 226 , ) ;

**hence**, we must multiply by 4 , as3 – 4 12 ( 220 ) 5 75 " and ız is divided by 3 by multiplying the denominator , 5 ,

by 8 ...

Page 150

fractionRULE . - Multiply both the RULE . - Divide both the terms of the fraction by

the terms of the fraction by such number which denotes how a number as will ...

**Hence**230 . To enlarge the terms | 231 . To diminish the terms of a fraction of afractionRULE . - Multiply both the RULE . - Divide both the terms of the fraction by

the terms of the fraction by such number which denotes how a number as will ...

Page 161

because it is used twice as a factor , it is said to be raised to the second power ;

and the line which makes the sides of the square is called the first power ; the

root ...

**Hence**, if a line , or a number , be ' multiplied by itself it is said lo be squared , orbecause it is used twice as a factor , it is said to be raised to the second power ;

and the line which makes the sides of the square is called the first power ; the

root ...

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added Addition amount angle answer apples Arithmetic beans bushels called Cash cents ciphers circle cloth common compound contained cost cube cubic decimal denominator denoted diameter difference divide dividend division divisor dollars dolls equal evidently example expressed factors feet figures five foot four fraction gain gallon give given half hand Hence hundred hundredths inches interest least length less mean measure method miles minutes months multiply names nine operation payment period person piece pound principal proportion quantity quarter quarts QUESTIONS FOR PRACTICE quotient ratio receive Reduce remains rods root rule seven share shillings side simple solid square subtract supposed tens tenths third units weeks weight whole worth write written yard

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