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Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number pq. - Mathematics

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प्रश्न

Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number `p/q`.

Month Above/Below
normal (in cm)
May 2.6924
June 0.6096
July – 6.9088
August – 8.636
योग
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उत्तर

(i) May = 2.6924

= `26924/10000`  ...[Remove decimal]

`\implies p/q = 6731/2500 "cm"` ...[After dividing numerator and denominator by 4]  

(ii) June = 0.6096

= `6096/10000`  ...[Remove decimal]

`\implies p/q = 381/625 "cm"` ...[After dividing numerator and denominator by 16]  

(iii) July = – 6.9088

= `-69088/10000`  ...[Remove decimal]

`\implies p/q = -4318/625 "cm"` ...[After dividing numerator and denominator by 16]  

(iv) August = – 8.636

= `-8636/1000`  ...[Remove decimal]

`\implies p/q = -2159/250 "cm"` ...[After dividing numerator and denominator by 4]  

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अध्याय 1: Rational Numbers - Exercise [पृष्ठ २६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 1 Rational Numbers
Exercise | Q 149. | पृष्ठ २६

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The average life expectancies of males for several states are shown in the table. Express each decimal in the form `p/q` and arrange the states from the least to the greatest male life expectancy. State-wise data are included below; more indicators can be found in the “FACTFILE” section on the homepage for each state.

State Male `bb(p/q)` form Lowest terms
Andhra Pradesh 61.6    
Assam 57.1    
Bihar 60.7    
Gujarat 61.9    
Haryana 64.1    
Himachal Pradesh 65.1    
Karnataka 62.4    
Kerala 70.6    
Madhya Pradesh 56.5    
Maharashtra 64.5    
Orissa 57.6    
Punjab 66.9    
Rajasthan 59.8    
Tamil Nadu 63.7    
Uttar Pradesh 58.9    
West Bengal 62.8    
India 60.8    

Source: Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India. The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)


Every natural number is a rational number but every rational number need not be a natural number.


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