Introduction to The National Arithmetic, on the Inductive System: Combining the Analytic and Synthetic Methods with the Cancelling System; in which the Principles of Arithmetic are Explained and Illustrated in a Familiar Manner. Designed for Common Schools |
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Page 141
... fraction . The numerator shows how many of these parts are taken , or expressed by the fraction . A proper fraction is one whose numerator is less than the denominator ; as , 4 . An improper fraction is one whose numerator is equal to ...
... fraction . The numerator shows how many of these parts are taken , or expressed by the fraction . A proper fraction is one whose numerator is less than the denominator ; as , 4 . An improper fraction is one whose numerator is equal to ...
Page 143
... improper fraction . Ex . 1. In 7g how many fifths ? OPERATION . రాలు 73103 5 10 35 fifths . 3 38 fifths Ans . 38 . Since there are 5 fifths in 1 whole one , there will be 5 times as many fifths as whole ones ; therefore , in 7 there ...
... improper fraction . Ex . 1. In 7g how many fifths ? OPERATION . రాలు 73103 5 10 35 fifths . 3 38 fifths Ans . 38 . Since there are 5 fifths in 1 whole one , there will be 5 times as many fifths as whole ones ; therefore , in 7 there ...
Page 144
... improper fractions to whole or mixea numbers . Ex . 1. How many dollars in 7 dollars ? OPERATION . 16 ) 37 ( 25 32 5 RULE . Ans . $ 215 . This question may be analyzed by saying , As 16 sixteenthis make one dollar , there will be as ...
... improper fractions to whole or mixea numbers . Ex . 1. How many dollars in 7 dollars ? OPERATION . 16 ) 37 ( 25 32 5 RULE . Ans . $ 215 . This question may be analyzed by saying , As 16 sixteenthis make one dollar , there will be as ...
Page 145
... fraction must be reduced to improper fractions , before multiplying the numerators and denominators . NOTE 2. When there are factors common to both numerator and de- nominator , they may be cancelled in the operation . EXAMPLES FOR ...
... fraction must be reduced to improper fractions , before multiplying the numerators and denominators . NOTE 2. When there are factors common to both numerator and de- nominator , they may be cancelled in the operation . EXAMPLES FOR ...
Page 146
... fractions is a common multiple of their denominators . The least common ... fraction are multiplied by the same numbers , only the form of the fraction ... improper fractions . NOTE 2. Fractions may often be reduced to lower terms ...
... fractions is a common multiple of their denominators . The least common ... fraction are multiplied by the same numbers , only the form of the fraction ... improper fractions . NOTE 2. Fractions may often be reduced to lower terms ...
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Common terms and phrases
annexed barrels of flour bill Bought called ciphers circumference column common denominator common difference common fraction composite number compound interest compound numbers containing cords cost cube root cubic feet currency decimal diameter discount Divide the product dividend division dollars equal EXAMPLES FOR PRACTICE farthings figure find the interest frustum gain gallons Give the reason given number given sum greatest common divisor Hence hogshead hundred improper fraction inches interest of $1 least common multiple leaves less miles minuend mixed number molasses months multiplicand Multiply NOTE number of terms obtain OPERATION paid payment pence present worth prime factors prime number principal purchase quantity quarts QUESTIONS quotient rate per cent ratio received Reduce remainder rule for finding shillings side simple numbers sold solid square feet square root subtract subtrahend tens thousand thousandths tons Troy Weight United States money whole number write yards
Popular passages
Page 145 - RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator.
Page 158 - RULE. — Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 277 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Page 209 - But if any payments be made before one year's interest hath accrued, then compute the interest on the principal sum due on the obligation for one year,* add it to the principal, and compute the interest on the sum paid from the time it was paid up to the end of the year ; add it to the sum paid, and deduct that sum from the principal and interest added together.
Page 285 - SPHERE is a solid bounded by one continued convex surface, every part of which is equally distant from a point within, called the centre.
Page 17 - Addition is the process of finding the sum of two or more numbers.
Page 284 - Subtract the subtrahend from the dividend, and to the remainder bring down the next period for a new dividend, with which proceed as before ; and so on, till the whole is finished.
Page 187 - To multiply a decimal by 10, 100, 1000, &c., remove the decimal point as many places to the right as there are ciphers in the multiplier ; and if there be not places enough in the number, annex ciphers.
Page 209 - Compute the interest to the time of the first payment ; if that be one year or more from the time the interest commenced, add it to the principal, and deduct the payment from the sum total. If there be...
Page 297 - If the first term is 18, the ratio 1.06, and the number of terms 4, what is the sum of the series ? Ans.