Arithmetic for Schools |
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Page 28
... reduced to a series of cases of multiplications of numbers not greater than ten ; it is therefore essential to learn by heart all the products of such numbers . These products are given in the following table , called the Multiplication ...
... reduced to a series of cases of multiplications of numbers not greater than ten ; it is therefore essential to learn by heart all the products of such numbers . These products are given in the following table , called the Multiplication ...
Page 45
... reduce to units of the next lower order and add the 6 of that order , and we have 126 to be divided by 18. Now 126 ÷ 18 = 7 . Ex . 2. Divide 102739 by 29 . 29 ) 102739 ( 3542 87 157 145 123 116 79 58 21 remainder . The last figure of ...
... reduce to units of the next lower order and add the 6 of that order , and we have 126 to be divided by 18. Now 126 ÷ 18 = 7 . Ex . 2. Divide 102739 by 29 . 29 ) 102739 ( 3542 87 157 145 123 116 79 58 21 remainder . The last figure of ...
Page 46
... reduced to tens and the 9 tens added makes 89 tens , which does not con- tain 145. Therefore there are no tens in the answer and we write a naught , and proceed by reducing the 89 tens to units , adding 3 units . The same reasoning ...
... reduced to tens and the 9 tens added makes 89 tens , which does not con- tain 145. Therefore there are no tens in the answer and we write a naught , and proceed by reducing the 89 tens to units , adding 3 units . The same reasoning ...
Page 72
... reduced to that of finding the H.C.F. of the smaller number and the remainder . Ex . 1. Find the H. C. F. of 3663 and 5439 . Divide the greater by the less . 3663 ) 5439 ( 1 3663 1776 Hence the H.C.F. required is the same as the H.C.F. ...
... reduced to that of finding the H.C.F. of the smaller number and the remainder . Ex . 1. Find the H. C. F. of 3663 and 5439 . Divide the greater by the less . 3663 ) 5439 ( 1 3663 1776 Hence the H.C.F. required is the same as the H.C.F. ...
Page 73
Charles Smith. The problem is now reduced to finding the H.C.F. of 111 and 1776. Again divide . 111 ) 1776 ( 16 111 666 666 Thus , 111 is a factor of 1776 , and therefore 111 is the H.C.F. of 111 and 1776 . But the H.C.F. of 111 and 1776 ...
Charles Smith. The problem is now reduced to finding the H.C.F. of 111 and 1776. Again divide . 111 ) 1776 ( 16 111 666 666 Thus , 111 is a factor of 1776 , and therefore 111 is the H.C.F. of 111 and 1776 . But the H.C.F. of 111 and 1776 ...
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Common terms and phrases
100 Dollars Avoir bank bought breadth carpet cents common fraction cube root cubic date I promise decimal point demand note denotes digits discount Divide dividend divisible divisor draft equal Express in words feet Find the cost Find the H.C.F. Find the value five four geometrical progression given number Hence hundred hundredths improper fraction inches income integral interest invested length lowest terms marked price measure method Minuend mixed number multiplicand Multiply naughts numerator and denominator obtained Oral Exercises paid payable payment pound proceeds profit promise to pay quantity quotient ratio rectangle rectangular Reduce remainder Roman numerals shares Simplify sold square root Subtract tenths thousand Troy weight units Value received weight whole number wide Written Exercises yards
Popular passages
Page 136 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Page 94 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 327 - NJ The Algebras by Messrs. Hall and Knight have been introduced in many Colleges and Schools, from among which may be mentioned : Brown University.
Page 269 - United States Rule. — Find the amount of the principal to a time when a payment, or the sum of two or more payments, equals or exceeds the interest due, and from the amount subtract such payment or payments.
Page 329 - OF THE POINT, RAY, AND CIRCLE. By WILLIAM B. SMITH, Ph.D., Professor of Mathematics in the Tulane University of New Orleans, La. Cloth. $1.1O. "To the many of my fellow-teachers in America who have questioned me in regard to the Non-Euclidean Geometry, I would now wish to say publicly that Dr. Smith's conception of that profound advance in pure science is entirely sound. . . . Dr. Smith has given us a book of which our country can be proud. I think it the duty of every teacher of geometry to examine...
Page 27 - 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 40 - When a decimal number is to be divided by 10, 100, 1000, &c., remove the decimal point as many places to the left as there are ciphers in the divisor, and if there be not figures enough in the number, prefix ciphers.
Page 206 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 329 - I cannot see any cogent reason for not introducing the methods of Modern Geometry in text-books intended for first years of a college course. How useful and instructive these methods are, is clearly brought to view in Dr. Smith's admirable treatise. This treatise is in the right direction, and is one step in advancing a doctrine which is destined to reconstruct in great measure the whole edifice of Geometry. I shall make provision for it in the advanced class in this school next term.