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Representation of Rational Numbers on the Number Line

Question 113I...

Question

Question 113
Identify the rational number that does not belong with the other three. Explain your reasoning $\frac{- 5}{11}, \frac{- 1}{2}, \frac{- 4}{9}, \frac{- 7}{3}$

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Solution

$\frac{- 7}{3}$ does not belong with the other three. Since $\frac{- 7}{3}$ is smaller than - 1 whereas rest of the numbers are greater than - 1.

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Q. Question 113
Identify the rational number that does not belong with the other three. Explain your reasoning

\frac{- 5}{11}, \frac{- 1}{2}, \frac{- 4}{9}, \frac{- 7}{3}

Identify the rational number which is different from the other three. Explain your reasoning

-5/11,-1/2,-4/9,-7/3

Question 8
Find three different irrational numbers between the rational numbers $\frac{5}{7} a n d \frac{9}{11}$ .

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

Q. Write three rational numbers that lie between the two given numbers:

(1) \frac{2}{7}, \frac{6}{7}

(2) \frac{4}{5}, \frac{2}{3}

(3) - \frac{2}{3}, \frac{4}{5}

(4) \frac{7}{9}, - \frac{5}{9}

(5) \frac{- 3}{4}, \frac{+ 5}{4}

(6) \frac{7}{8}, \frac{- 5}{3}

(7) \frac{5}{7}, \frac{11}{7}

(8) 0, \frac{- 3}{4}

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Representation of Rational Numbers on the Number Line

Standard VIII Mathematics

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