10TH MATHS EM UNIT-2 EG 2.1

 

Theorem 1:  Euclid’s Division Lemma

Let a and b (a>b)  be any two positive integers.  Then, there exist unique integers q and r such that  a=bq+r, 0≤r<b.

  

Example  2.1

            We have 34 cakes.  Each box can hold 5 cakes only.  How many boxes we need to pack and how many cakes are unpacked?

  

34	=	5	x	6	+	4
Total number of cakes	=	Number of cakes in each box	x	Number of boxes	+	Number of cakes left over
a	=	b	x	q	+	r

     

                   i)     Number of boxes =6

                     ii)      Number of cakes left over =4

CL       CLICK THE BUTTON TO DOWNLOAD THE PDF FILE