Question

Write four equivalent rational numbers of the length of 23/8

Answer 1

Step-by-step explanation:

The numbers that are in the form of pq, where p and q are integers and q ≠0, are called rational numbers.

For example:

Five positive rational numbers:

57,−3−4,78,−14−15,59

Five negative rational numbers:

−37,−38,8−9,−1925,8−25

Yes, there is a rational number that is neither positive nor negative, i.e. zero (0)

Which of the following are rational numbers?

(i) 5-8

(ii) -611

(iii) 715

ANSWER:

i) 5−8 is a rational number because it is in the form of pq, where p and q are integers and q≠0. ii)−611 is a rational number because it is in the form of pq, where p and q are integers and q≠0. iii)−1315is a rational number because it is in the form of pq, where p and q are integers and q≠0.

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Answer 2

$\huge \tt { \underline\red{A} { \underline\pink{n} { \underline\blue{s} { \underline \orange{w}{ \underline \purple{e} { \underline\green{r}}}}}}} \blue\downarrow$

Following are the four rational numbers that are equivalent to $\huge \bf\frac\blue{23} \blue{18}\pink\downarrow$

$\huge\bf\frac\green{23 \: \times \: 2} \green{8 \: \times \: 2} \: \green\implies \: \frac \green{46} \green{16}$

$\huge\bf\frac\red{23 \: \times \: 3} \red{8 \: \times \: 3} \: \red \implies \: \frac \red{69} \red{24}$

$\huge\bf\frac\pink{23 \: \times \: 4} \pink{8 \: \times \: 4} \: \pink\implies \: \frac \pink{92} \pink{32}$

$\huge\bf\frac\orange{23 \: \times \: 5} \orange{8 \: \times \: 5} \: \orange\implies \: \frac \orange{115} \orange{40}$

Therefore four equivalent rational numbers are

$\huge \bf \frac\red{46}\red{16} \:\blue , \: \frac\red{69}\red{24} \:\blue, \: \frac\red{92}\red{32} \:\blue , \: \frac\red{115}\red{40}$

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