Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1886 Excerpt: ...does not affect the quotient. WRITTEN EXERCISES. ART. 91.--1. Divide 3x5x6x 10 by 3x8x4x6. Process. Analysis.--The divisor r is written under the divi $ x 5 x 0 x 10 dend with a Une be"--------_n = 1 tween. „ Since the factors 3 and 6 are common to both dividend and divisor, we strike them from both. Since the factor 2 is a factor of 10 in the dividend and of 4 in the divisor, we strike it from both, leaving 5 in the dividend and 2 in the divisor. The product of the remaining factors in the dividend is 25, and of those in the divisor 16. Hence, the quotient is % = 1-&. ART. 92.--Rule for Cancellation.--Cancel from the dividend and the divisor all common factors, and divide the product of the remaining factors in the dividend by the product of the remaining factors in the divisor. Note.--Should all the factors in the dividend and divisor be canceled, the quotient is 1. If the 1 appears in the dividend it must be retained; if in the divisor, it may be disregarded. What is the quotient of: 13. A dealer bought 10 barrels of potatoes at $3 a barrel and paid for them with shoes at $3 a pair: how many pairs of shoes did it require? 14. How many tons of coal worth $6 a ton must be given for 12 barrels of flour worth $7 a barrel? 15. A man exchanged 24 sheep worth $4 each for pigs at $6 each: how many pigs did he get? 16. Illustrate Cancellation by an original problem. ART. 93.--1. Multiply 24 by 10; by 100; by 1000. It is evident that when any number is multiplied by 10, it is moved one order to the left; when multiplied by 100, it is moved two orders to the left, and when multiplied by 1000, it is moved three orders to the left. 24 x 10 = 240; 24 x 100 = 2400; 24 x 1000 = 24000. Therefore, To multiply any number by 10, 100, 1000, etc., annex as many...
"synopsis" may belong to another edition of this title.
