l!2(l ]\10DEltN BUTTER JIAKING. 



II. A decimal is divided hy ten by inserting a 

 cipher between the decimal point (.) and the other 

 figures to the right. 



Explanation. 



(a). The decimal .8 equals the proi)er fraction 

 8/10, reduced (a) equals 4/5. 



(b). Inserting one cipher we get .08, which equals 

 8/100,^ which equals (b) 4/50. Hence the fraction 

 (a) (.8) is changed 10 times in value by inserting 

 one cipher between the decimal point and 8 = .08. 



III. Similarly a decimal is multiplied by 10 by 

 rejecting a cipher from the first place between the 

 decimal point (.) and the other figures to the right. 



Explanation. 



(a). The decimal .08 equals the proper fraction 

 8/100, which reduced equals 4/50. 



(b). Eejecting the cipher .08 equals .8, equals 

 proper fraction 8/10, which reduced equals 4/5. 



The latter by taking out the cipher multiplies the 

 decimal ten times. 



5. Multiplication of Decimals. A general rule for 

 the multiplication of decimals. 



Rule. Place the multiplier under the multiplicand 

 and disregarding the position of the decimal point, 

 multiply as in whole numbers. In the product point 

 off as many decimal places as there are decimal 

 places in both the multiplier and multiplicand, pre- 

 fixing ciphers if necessary. 



