Question

Alternate method use ​

Answer 1

Answer:

Here no. are -1 and -2

so,we multiply and divide -1 and -2 with 4.

= -1 X 4/4 and -2 X 4/4

= -4/4 and -8/4

so no. are

-5/4, -6/4 and -7/4.

I hope this will help you

please mark it as brainlist answer.

Answer 2

AnswEr:-

We can find infinite rational numbers but here we have to find 3 rational numbers between -1 and -2.

Concept Used:-

$\tt\longrightarrow \frac{p}{q} \times \frac{a}{a} \\ \\ \tt = \frac{p}{q} \times 1 \\ \\ \tt = \frac{p}{q} \\ \\ \sf \: so \: \frac{p}{q} \: can \: be \: written \: as \\ \\ \tt = \frac{p}{q} \times \frac{a}{a} .$

So here we can write -1 as -1/1 and -2 as -2/1.

Now, lets multiply both the numbers by 4/4.

$\\ \tt\mapsto - \frac{1}{1} \times \frac{4}{4} \\ \\ \tt = - \frac{4}{4} \\ \\ \sf and \\ \\ \tt\mapsto - \frac{2}{1} \times \frac{4}{4} \\ \\ \tt = - \frac{ 8}{4}$

Therefore,

Five rational numbers between -4/4 and -8/4 are:-

$\tt\longrightarrow - \frac{ 5}{4}, \: \: - \frac{6}{4}, \: \: - \frac{7}{4} .$

Similarly you can find out infinite rational numbers by Multiplying the numbers by 100/100 or 1000/1000 or any other number.

Alternative method:-

We have to rational numbers between -1 and -2.

So numbers lie between -1 and -2 are:-

-1.1, -1.2, -1.01.......etc.

Also we can write this numbers in p/q form.

So any three rational number betwber -1 and -2 are:-

$\tt\implies -1.1(-\frac{11}{10}), \:\: -1.2(-\frac{12}{10}),\:\: -1.01(-\frac{101}{100}).$

Similarly you can find infinite rational numbers.

(Note:- You should have to first make the denominators of both the numbers same so that you can find rational numbers between them with great ease.)