Question

Arrange the following rational numbers in ascending order (i) -2/5,7/10,-8/15,17-30​

Answer 1

Answer:

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Step-by-step explanation:

Step1: We are given the rational numbers:

35,−17−30,8−15,−710

We first write the given rational numbers so that their denominators are positive for that we will multiply numerator and denominator by (−1)

⇒−17×(−1)−30×(−1)=1730

⇒8×(−1)−15×(−1)=−815

Thus the given rational numbers with positive denominator are:

⇒35,1730,−815,−710

Step2: Now L.C.M of the denominator 5,30,15

and10is 5×6×3×2=180 .

We now write the numerator so that they have a common denominator 180as follows

In case of 35we multiply numerator and denominator by 36

⇒3×365×36=108180;

In case of 1730 we multiply numerator and denominator by6

⇒17×630×6=102180;

In case of −815 we multiply numerator and

Step3: Comparing the numerators of these numbers and also considering the signs as a start from a negative number we get (in case of negative numbers greater the number with negative sign smaller will be its value)

−126<−96<102<108

Therefore, the ascending order of whole fraction will be

−126180<−96180<102180<108180

Step5: hence the order of rational numbers is −710<−815<1730<35

Answer 2

Process in image

Ans= 7/10 -2/5 -8/15 -17/10

sorry i wrote in descending