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Q.

$− 16 24$ and $20 − 16$ and represent ____ rational numbers.

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Detailed Solution

− 16 24

and

20 − 16

represent unequal rational numbers.
Now, to decide if two rational numbers are equal or not, they must be first converted to their standard forms. So,

− 16 24 = − (2 × 2 × 2 × 2) 2 × 2 × 2 × 3 = − 2 3 20 − 16 = 2 × 2 × 5 − (2 × 2 × 2 × 2) = − 5 4

Now, for two rational numbers to be equal, the numerator and denominator of one rational number must be equal to the corresponding numerator and denominator of the other one.
But in the above rational numbers, we can observe that

− 2 ≠ − 5

and

3 ≠ 4

.
Therefore, we conclude that

− 16 24

and

20 − 16

are unequal.

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