Separate positive and negative rational numbers from the following rational numbers-5-7- -160-12-5- -160-74- -160-13-9- -160-0- -160-18-7- -160-95116- -160-1-9

Given rational numbers can be rewritten as:57. #160; 125, #160;74, #160; 139, #160;0 #160;, #160;187, #160; 95116, #160;19Thus, positive rationa ...

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Standard IX

Mathematics

Irrational Numbers

Separate posi...

Question

Separate positive and negative rational numbers from the following rational numbers:

$\frac{- 5}{- 7}, \frac{12}{- 5}, \frac{7}{4}, \frac{13}{- 9}, 0, \frac{- 18}{- 7}, \frac{- 95}{116}, \frac{- 1}{- 9}$

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Solution

Given rational numbers can be rewritten as:

$\frac{5}{7} . - \frac{12}{5}, \frac{7}{4}, - \frac{13}{9}, 0, \frac{18}{7}, - \frac{95}{116}, \frac{1}{9}$

Thus, positive rational numbers are:

$\frac{5}{7}, \frac{7}{4}, \frac{18}{7}, \frac{1}{9}$
or, $\frac{- 5}{- 7}, \frac{7}{4}, 0, \frac{- 18}{- 7} . \frac{- 6}{- 9}$

Negative rational numbers are:

$- \frac{12}{5}, - \frac{13}{9}, - \frac{95}{116}$
or, $\frac{12}{- 5}, \frac{13}{- 9}, \frac{- 95}{116}$

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Similar questions

State, true or false :
$(i) \frac{7}{9} = \frac{7 + 5}{9 + 5} (i i) \frac{7}{9} = \frac{7 - 5}{9 - 5} (i i i) \frac{7}{9} = \frac{7 \times 5}{9 \times 5} (i v) \frac{7}{9} = \frac{7 \div 5}{9 \div 5} (v) \frac{- 5}{- 12} is a negative rational number (v i) \frac{- 13}{25} is smaller than \frac{- 25}{13} .$

Q. Compare the following rational Numbers and find which is greater:

9/-13 or 7/ -12.Kindly include the steps and reasons too as my doubt is regarding the value of two negative rational Numbers in comparison.

Question 03

Which of the following rational numbers is negative?

(a) $- (\frac{- 3}{7})$
(b) $\frac{- 5}{- 8}$
(c) $\frac{9}{8}$
(d) $\frac{3}{- 7}$

Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i) $\frac{2}{5} + \frac{7}{3} + \frac{- 4}{5} + \frac{- 1}{3}$

(ii) $\frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9}$

(iii) $\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}$

(iv) $\frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}$

Compare the following rational numbers

-7/24 and 9/-20

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Separate positive and negative rational numbers from the following rational numbers: -5-7, 12-5, 74, 13-9, 0, -18-7, -95116, -1-9

Given rational numbers can be rewritten as:57. -125, 74, -139, 0 , 187, -95116, 19Thus, positive rational numbers are:57, 74, 187,19or, -5-7, 74, 0, -18-7. -6-9Negative rational numbers are:-125, -139, -95116or, 12-5, 13-9, -95116

Separate positive and negative rational numbers from the following rational numbers:

$\frac{- 5}{- 7}, \frac{12}{- 5}, \frac{7}{4}, \frac{13}{- 9}, 0, \frac{- 18}{- 7}, \frac{- 95}{116}, \frac{- 1}{- 9}$