Chapter 1 Number System RD Sharma Solutions Exercise 1.6 Class 9 Maths
Chapter Name  RD Sharma Chapter 1 Number System Exercise 1.6 
Book Name  RD Sharma Mathematics for Class 10 
Other Exercises 

Related Study  NCERT Solutions for Class 10 Maths 
Exercise 1.6 Solutions
Mark the correct alternative in each of the following :
1. Which one of the following is a correct statement?
(a) Decimal expansion of a rational number is terminating
(b) Decimal expansion of a rational number is non  terminating
(c) Decimal expansion of an irrational number is terminating
(d) Decimal expansion of an irrational number is non  terminating and non  repeating
Solution
The following steps for successive magnification to visualise 2.665 are :
(a) We observe that 2.665 is located somewhere between 2 and 3 on the number line. So, let us look at the portion of the number line between 2 and 3.
(b) We divide this portion into 10 equal parts and mark each point of division. The first mark to the right of 2 will represent 2.1, the next 2.2 and soon. Again we observe that 2.665 lies between 2.6 and 2.7 .
(c) We mark these points A_{1} and A_{2} respectively. The first mark on the right side of A_{1} , will represent 2.61, the number 2.62, and soon. We observe 2.665 lies between 2.66 and 2.67 .
(d) Let us mark 2.66 as B_{1} and 267 as B_{2} .Again divide the B_{1} B_{2} into ten equal parts. The first mark on the right side of B_{1} will represent 2.661 . Then next 2.662, and so on.
Clearly, fifth point will represent 2.665.
(b) The sum of two irrational numbers is always a rational number.
(c) The sum of two irrational numbers may be a rational number or an irrational number
(d) The sum of two irrational numbers is always an integer