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Chapter 1: Q. 1.221 (page 135)

For the given numbers list the arational numbers birrational numbers:

0.29,0.816,2.515115111.......

Short Answer

Expert verified

The solution isa0.29,0.816,b2.515115111.......

Step by step solution

01

Part (a) Step 1. Given information 

Numbers list:0.29,0.816,2.515115111.......

02

Part (a) Step 2. Calculation 

The decimal 0.29stops after 9.

The 6repeats in 0.816.

So, 0.29and0.816are rational numbers.

03

Part (b) Step 1. Given information 

Numbers list:0.29,0.816,2.515115111.......

04

Part (b) Step 2. Calculation 

2.515115111.......has no repeating block of digits and it does not stop.

So, 2.515115111.....is an irrational number.

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