Multiplication of Decimals.            137

A Finite Decimal is that which ends at a certain number of places ; but an infinite is that which nowhere ends.

ADDITION OF DECIMALS.

Rule.—In setting down the proposed numbers to be added, great care must be taken in placing every figure directly underneath those of the same value, whether they be mixed numbers, or pure decimal parts : and to perform which there must be a due regard had to the commas, or separating points, which ought always to stand in a direct line, one under another ; and to the right-hand of them carefully place the decimal parts, according to their respective values ; then add them as in whole numbers.

EXAMPLES.

(1)  Add 72,5+32,071+2,1574+371,4+2,75+480,8784.

(2)  Add 30,07+2,0071+59,4+3207,1.

(3)  Add 3,5+47,25+927,01+2,0073 + 1,5.

(4)  Add 52,75+47,21+724+31,452+3075.

(5)  Add 3275+27,514+1,005+725+7,32,

(6)  Add 27,0+52+3,2075+5741+2720.

SUBTRACTION OF DECIMALS.

Rule.
	—Subtraction of decimals   differs   but  little
				from

whole numbers, only
		in placing the
		numbers, which must be
	
carefully
	observed, as
	in Addition.
		
	


	
	EXAMPLES
		
	

(1) From
	,2754 take
	,2371
	(5)
	From 071 take
	54,72

(3)  From
	2,37 take
	1,70
	
	From 025 take
	70,!) 1

('i)  From
	271 take
	210,7
	(7)
	From 23,415 take
	,3742

'4)  From
	270,2 take
	70,4075
	(8)
	From ,107 take
	,0007

MULTIPLICATION OF DECIMALS.

Rule.—Place the factors, and multiply them as in whole numbers, and from the product towards the right-hand, cut off as many places for decimals as there are in both factors