1) 0.125 = 125/1000 = 125/10

3) 0.7 = 7/10 = 7/(2 x 5)

2) Theorem 2 : Let x = p/q be a rational number, such that the prime factorization of q is of the form 2

3) Let x =p/q be a rational number, such that the prime factorization of q is not of the form 2

Examples :

1) State whether the following rational numbers will have terminating decimal-expansion or a non-terminating repeating expansion of decimal.

a) 17/8

17/8 = 17/(2

As the denominator is of the form 2

-----------------------------------------------------------------------------

b) 64/255

64/255 = 64/ (5 x 3 x 17)

Clearly, 255 is not of the form 2

• Euclid Geometry

• Euclids division lemma

• Euclids division Algorithm

• Fundamental Theorem of Arithmetic

• Finding HCF LCM of positive integers

• Proving Irrationality of Numbers

• Decimal expansion of Rational numbers

Home Page

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers