Question

3. The following real numbers have decimal expansions as given below. In each case,
you say about the prime factors of q?
decide whether they are rational or not. If they are rational, and of the form P, what can
9
(i) 43.123456789
(ii) 43.123456789
Summary
(ii) 0.120120012000120000...​

Answer 1

Answer:

Step-by-step explanation:

43.123456789

It has certain number of digits, so they can be represented in form of  

q

p

​  

.

Hence they are rational number.  

As they have certain number of digits and the number which has certain  

number of digits is always terminating number and for terminating number  denominator has prime factor 2 and 5 only.

(ii) 0.120120012000120000. . .

Here the prime factor of denominator Q will has a value which is not equal to  2 or 5.

So, it is an irrational number as it is non-terminating and non-repeating.

(iii) 43.  123456789

 

Here the prime factor of denominator Q will has a value which is apart from  2 or 5, some other factor also.

So, it is an rational number, 0.123456789 repeating again and again. It is non- terminating.

Answer 2

Answer:

I am here

Step-by-step explanation:

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.