Question

compare the following pairs of rational numbers 3/-4, -1 / 2​

Answer 1

$\huge\underline {\sf {Answer:}}$

$\underline {\bold {Given:}}$

• Two rational numbers $\dfrac {3}{-4}$ and $\dfrac {-1}{2}$

$\underline {\bold {Find:}}$

• Which rational number is greater.

$\underline {\bold {Solution:}}$

We know that,

• To compare any two rational numbers , there denominator must be same.

So,

• Let's take factors of the denominators .
• On factorisation, the common factor is 4.

Now,

• Make the denominators same, that is

= $\dfrac {-3}{4}$

= $\dfrac {-2}{4}$

$\dag$On Comparing the values :

$\dfrac {-3}{4}$ ( < ) $\dfrac {-2}{4}$

Do remind

• In negative values , the one which is small like $\dfrac {-2}{4}$ is considered bigger .

Thus, on comparing rational number -1/2 is greater then 3/-4.

____________________________

Answer 2

Answer:

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