A New Introduction to the Science of Algebra... |
From inside the book
Results 1-5 of 68
Page 13
... finding the sum of two or more num- bers . Multiplication is the successive addition of a number to itself a given number of times . Subtraction consists in finding the difference between two numbers , or in diminishing one given number ...
... finding the sum of two or more num- bers . Multiplication is the successive addition of a number to itself a given number of times . Subtraction consists in finding the difference between two numbers , or in diminishing one given number ...
Page 14
... find the sum of the figures in the right hand column , and see how many tens are contained in that sum ; set down the excess above the tens , and carry one for every ten to the next column . Proceed in the same man- ner with all the ...
... find the sum of the figures in the right hand column , and see how many tens are contained in that sum ; set down the excess above the tens , and carry one for every ten to the next column . Proceed in the same man- ner with all the ...
Page 15
... sum of all the numbers below it , and then adding this sum to the upper number . If , in either case , the result agrees with the former , the work is presumed to be correct . SUBTRACTION . ( 8. ) Subtraction consists in finding the ...
... sum of all the numbers below it , and then adding this sum to the upper number . If , in either case , the result agrees with the former , the work is presumed to be correct . SUBTRACTION . ( 8. ) Subtraction consists in finding the ...
Page 16
... sum must equal the minuend . EXAMPLES 1. From 9092 subtract 7835 9092 7835 1257 Having written the numbers as ... find the whole difference 1257 , which added to the subtrahend , will produce the minuend . If the left hand figure ...
... sum must equal the minuend . EXAMPLES 1. From 9092 subtract 7835 9092 7835 1257 Having written the numbers as ... find the whole difference 1257 , which added to the subtrahend , will produce the minuend . If the left hand figure ...
Page 23
... find the hundreds of the quotient , we must add the 3000 remainder and the hundreds of the dividend together ; their sum is 3800 , in which 4 is contained 900 times , with a remainder of 200 , which must be added to the tens in order to ...
... find the hundreds of the quotient , we must add the 3000 remainder and the hundreds of the dividend together ; their sum is 3800 , in which 4 is contained 900 times , with a remainder of 200 , which must be added to the tens in order to ...
Other editions - View all
Common terms and phrases
2d power 3ab² a²-b² a²b ab² added algebraic quantity antecedents Arith arithmetical progression becomes Clearing of fractions coefficient common denominator common difference contained continued fraction cube root decimal fraction Demonstration Divide dividend division dollars equation evident EXAMPLES exponent expressed 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 merator minuend mixed number multiplicand Multiply nator number of terms operation orders of units polynomials Prod quan quotient ratio Reduce remainder required to find result simple fraction square root subtractive terms tens third power tion tity Transposing unity unknown quantity 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.