Question

-11/16, 7/-8 ,-3/4 ,0/2
arrange arrange the following rational number in ascending order along with solution in detail​

Answer 1

Answer:

Step 1: Express the given rational numbers with positive denominator.

Step 2: Take the least common multiple (L.C.M.) of these positive denominator.

Step 3: Express each rational number (obtained in step 1) with this least common multiple (LCM) as the common denominator.

Step 4: The number having the smaller numerator is smaller.

Step-by-step explanation:

Arrange the rational numbers −710, 5−8 and 2−3 in ascending order:

Solution:

We first write the given rational numbers so that their denominators are positive.

We have,

5−8 = 5×(−1)(−8)×(−1) = −58 and 2−3 = 2×(−1)(−3)×(−1) = −23

Thus, the given rational numbers with positive denominators are

−710, −58, −23

Now, LCM of the denominators 10, 8 and 3 is 2 × 2 × 2 × 3 × 5 = 120

We now write the numerators so that they have a common denominator 120 as follows:

−710 = (−7)×1210×12 = −84120,

−58 = (−5)×158×15 = −75120 and

−23 = (−2)×403×40 = −80120.

Comparing the numerators of these numbers, we get,

- 84 < -80 < -75

Therefore, −84120 < −80120 < −75120 ⇒ −710 < −23 < −58 ⇒ −710 < 2−3 < 5−8

Hence, the given numbers when arranged in ascending order are:

−710, 2−3, 5−8

I AM JUST GIVING YOU A EXAMPLE PS TRY TO SOLVE IT AGAIN SO THAT YOU CAN UNDERSTAND THE CONCEPT

Answer 2

Step-by-step explanation:

-11/16= -0.6875

7/-8 or-7/8= -0.875

-3/4= -0.75

0/2 = 0

-0.875<-0.75<-0.6875<0

so,

7/-8<-3/4<-11/16<0/2