A New Introduction to the Science of Algebra... |
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Page 21
... dividend , is called the quotient . If the dividend does not contain the divisor an exact number of times , what remains after the division is completed , is called the remainder . The sign of division is , or a horizon- tal line with ...
... dividend , is called the quotient . If the dividend does not contain the divisor an exact number of times , what remains after the division is completed , is called the remainder . The sign of division is , or a horizon- tal line with ...
Page 22
... Dividend . Divisor 81 ) 937843 ( 11578 quotient . 81 127 81 468 405 634 567 673 648 25 remainder . Demonstration of the Rule . - The number of times one number is contained in another , is evidently equal to the number of times it is ...
... Dividend . Divisor 81 ) 937843 ( 11578 quotient . 81 127 81 468 405 634 567 673 648 25 remainder . Demonstration of the Rule . - The number of times one number is contained in another , is evidently equal to the number of times it is ...
Page 23
... dividend , the division might commence either at the right or left of the dividend ; but when this is not the case , the di- vision must of necessity commence at the highest order of units . To illustrate this , take 7852 for a dividend ...
... dividend , the division might commence either at the right or left of the dividend ; but when this is not the case , the di- vision must of necessity commence at the highest order of units . To illustrate this , take 7852 for a dividend ...
Page 24
... dividend . EXAMPLES . 1. Divide 570196382 by 12 Ans . 47516365,2 . 97 Ans . 142161084 . 35821649 by 764 Ans . 468864 2. Divide 137896254 by 3. Divide 4. Divide 4637054283 by 57606 Ans . 80496-17- - · NOTE . When there is a remainder ...
... dividend . EXAMPLES . 1. Divide 570196382 by 12 Ans . 47516365,2 . 97 Ans . 142161084 . 35821649 by 764 Ans . 468864 2. Divide 137896254 by 3. Divide 4. Divide 4637054283 by 57606 Ans . 80496-17- - · NOTE . When there is a remainder ...
Page 25
... dividend . See how often the divisor is con- tained in as many of the left hand figures of the dividend as will contain it once , and place the quotient below the di- vidend ; if there be a remainder , consider it as written be- fore ...
... dividend . See how often the divisor is con- tained in as many of the left hand figures of the dividend as will contain it once , and place the quotient below the di- vidend ; if there be a remainder , consider it as written be- fore ...
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Common terms and phrases
2ab+b² 2d power 4th power a²b² a²x added algebraic quantity antecedents Arith arithmetical progression ax² cent Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction dividend division dollars evident EXAMPLES exponent expression Extract the cube Extract the square extracting the root factors Find the greatest Find the sum find the value fourth geometrical progression given number gives greater greatest common divisor hence improper fraction last term least common multiple less letters logarithms lowest terms mean terms multiplicand Multiply nator nth root number of terms obtain operation polynomial Prod quan quotient ratio remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing and reducing unity unknown quantity Va² vulgar fraction whence whole number writing written
Popular passages
Page 268 - A put four horses, and B as many as cost him 18 shillings a week. Afterwards B put in two additional horses, and found that he must pay 20 shillings a week. At what rate was the pasture hired ? 49.
Page 136 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 167 - B with $96. A lost twice as much as B; and, upon settling their accounts, it appeared that A had three times as much remaining as B. How much did each lose ? Ans. A lost $96, and B lost $48.
Page 73 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 78 - In any proportion, the product of the means is equal to the product of the extremes.
Page 91 - If a footman travel 130 miles in 3 days, when the days are 12 hours long; in how many days, of 10 hours each, may he travel 360 miles ? Ans.
Page 277 - A and B 165 miles distant from each other set out with a design to meet; A travels 1 mile the first day, 2 the second, 3 the third, and so on.
Page 88 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
Page 161 - It is required to divide the number 99 into five such parts, that the first may exceed the second by 3, be less than the third by 10, greater than the fourth by 9, and less than the fifth by 16.
Page 267 - A and B set off at the same time, to a place at the distance of 150 miles. A travels 3 miles an hour faster than B, and arrives at his journey's end 8 hours and 20 minutes before him.