Write 5 equivalent rational numbers to- i 52 ii -79 iii-37

(i) 52×22 = 104 52×33 = 156 52×44 = 208 52×55 = 2510 52×66 = 3012 (ii) 79×22 = 1418 79×33 = 2127 79×44 = ...

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Standard VII

Mathematics

Equivalent Rational Numbers

Write 5 equ...

Question

Write $5$ equivalent rational numbers to:-
$(i) \frac{5}{2}$

$(i i) - \frac{7}{9}$
$(i i i) - \frac{3}{7}$

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Solution

$(i)$
$\frac{5}{2} \times \frac{2}{2} = \frac{10}{4}$

$\frac{5}{2} \times \frac{3}{3} = \frac{15}{6}$

$\frac{5}{2} \times \frac{4}{4} = \frac{20}{8}$

$\frac{5}{2} \times \frac{5}{5} = \frac{25}{10}$

$\frac{5}{2} \times \frac{6}{6} = \frac{30}{12}$

$(i i)$
$- \frac{7}{9} \times \frac{2}{2} = - \frac{14}{18}$

$- \frac{7}{9} \times \frac{3}{3} = - \frac{21}{27}$

$- \frac{7}{9} \times \frac{4}{4} = - \frac{28}{36}$

$- \frac{7}{9} \times \frac{5}{5} = - \frac{35}{45}$

$- \frac{7}{9} \times \frac{6}{6} = - \frac{42}{54}$

$(i i i)$
$- \frac{3}{7} \times \frac{2}{2} = - \frac{6}{14}$

$- \frac{3}{7} \times \frac{3}{3} = - \frac{9}{21}$

$- \frac{3}{7} \times \frac{4}{4} = - \frac{12}{28}$

$- \frac{3}{7} \times \frac{5}{5} = - \frac{15}{35}$

$- \frac{3}{7} \times \frac{6}{6} = - \frac{18}{42}$

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Similar questions

Give four rational numbers equivalent to:

(i) (ii) (iii)

Write the following rational numbers in ascending order:

(i) (ii) (iii)

Verify commutativity of addition of rational numbers for each of the following pairs of rational numbers: (i) $\frac{- 11}{5} a n d \frac{4}{7}$ (ii) $\frac{4}{9} a n d \frac{7}{- 12}$ (iii) $\frac{- 3}{5} a n d \frac{- 2}{- 15}$ (iv) $\frac{2}{- 7} a n d \frac{12}{- 35}$ (v) $4 a n d \frac{- 3}{5}$ (vi) $- 4 a n d \frac{4}{- 7}$

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

Q. Classify the following numbers as rational or irrational:
(i)

2 - \sqrt{5}

(ii)

(3 + \sqrt{23}) - \sqrt{23}

(iii)

\frac{2 \sqrt{7}}{7 \sqrt{7}}

(iv)

\frac{1}{\sqrt{2}}

(v)

2 π

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Write 5 equivalent rational numbers to:-(i) 52(ii) −79(iii)−37

(i)52×22=10452×33=15652×44=20852×55=251052×66=3012(ii)−79×22=−1418−79×33=−2127−79×44=−2836−79×55=−3545−79×66=−4254(iii)−37×22=−614−37×33=−921−37×44=−1228−37×55=−1535−37×66=−1842

Write $5$ equivalent rational numbers to:-
$(i) \frac{5}{2}$

$(i i) - \frac{7}{9}$
$(i i i) - \frac{3}{7}$