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Question

Arrange the following rational numbers in descending order.

-34,211,35,-4


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Solution

Step 1: Convert the given rational numbers into equivalent rational numbers.

Given: -34,211,35,-4

These rational numbers are not equivalent, so first convert them into equivalent rational numbers.

Take LCM of the denominators of given rational numbers.

LCM of 4,11and5is220.

Now, Multiply the numerator and denominator of the given rational numbers with the same number such that the denominators become 220.

-34=-3×554×55=-165220211=2×2011×20=4022035=3×445×44=132220-4=-4×2201×220=-880220

Step 2: Arrange the given numbers in descending order.

We know that the fractions with the greater numerator are greater.

So, 132220>40220>-165220>-880220.

Hence, numbers arranged in descending order are 35>211>-34>-4.


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