मराठी

Simplify Each of the Following and Express the Result as a Rational Number in Standard Form: − 19 36 × 16 - Mathematics

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प्रश्न

Simplify each of the following and express the result as a rational number in standard form:

\[\frac{- 19}{36} \times 16\]
बेरीज

उत्तर

\[\frac{- 19}{36} \times 16 = \frac{- 19}{2 \times 2 \times 3 \times 3} \times 2 \times 2 \times 2 \times 2 = \frac{- 76}{9}\]

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पाठ 1: Rational Numbers - Exercise 1.5 [पृष्ठ २६]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 1 Rational Numbers
Exercise 1.5 | Q 3.3 | पृष्ठ २६

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संबंधित प्रश्‍न

Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]

\[\frac{3}{4} + \frac{5}{6} + \frac{- 7}{8}\]

Express each of the following as a rational number of the form \[\frac{p}{q}:\] 

\[\frac{- 8}{3} + \frac{- 1}{4} + \frac{- 11}{6} + \frac{3}{8} - 3\]

Simplify each of the following and express the result as a rational number in standard form:

\[\frac{- 5}{9} \times \frac{72}{- 25}\]

Fill in the blanks:

\[\frac{5}{11} \times \frac{- 3}{8} = \frac{- 3}{8} \times . . . . . .\]

Find the value and express as a rational number in standard form:

\[\frac{2}{5} \div \frac{26}{15}\]

Every whole number is a rational number.


Solve the following: Select the rational numbers from the list which are also the integers.

`9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, (-1)/1, (-2)/1, (-3)/2, (-4)/2, (-5)/2, (-6)/2`


Identify the rational number that does not belong with the other three. Explain your reasoning

`(-5)/11, (-1)/2, (-4)/9, (-7)/3`


The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below:

Golden eagle Blue jay

How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?


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)


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