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Simplify Each of the Following and Express the Result as a Rational Number in Standard Form: − 9 16 × − 64 − 27 - Mathematics

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प्रश्न

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

\[\frac{- 9}{16} \times \frac{- 64}{- 27}\]
योग
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उत्तर

\[\frac{- 9}{16} \times \frac{- 64}{- 27} = \frac{- 9}{16} \times \frac{- 4 \times 16}{- 3 \times 9} = \frac{- 4}{3}\]

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

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आरडी शर्मा Mathematics [English] Class 8
अध्याय 1 Rational Numbers
Exercise 1.5 | Q 3.5 | पृष्ठ २६

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संबंधित प्रश्न

Add and express the sum as a mixed fraction:

\[\frac{- 12}{5} \text{and} \frac{43}{10}\]

Simplify:

\[\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}\]

Divide:

\[5 \text{by} \frac{- 5}{7}\]

Find (x + y) ÷ (x − y), if

\[x = \frac{2}{3}, y = \frac{3}{2}\]

Insert three rational numbers between:

0 and 1


Insert three rational number between:

-3 and 3


Find the greatest and the smallest rational number among the following.

`(-2)/(3) , (-7)/(9) and (-5)/(6)`


Arrange the following rational numbers in descending order.

`(7)/(13),(8)/(15), and (3)/(5)`


Arrange the following rational numbers in descending order.

`(4)/(3), (-14)/(5) and (17)/(15)`


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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