Find ten rational numbers between -2/5 and 1/2

Solution:

We can find infinitely many rational numbers between any two given rational numbers by taking the mean of the two rational numbers.
Alternative method: We can make the denominators same for the two given rational numbers.

The given numbers are -2/5 and 1/2

The LCM of both denominators is 10.

So we will multiply the denominators by such a number which gives us a multiple of 10.

Multiplying both the numerator and denominator of -2/5 by 4, we get

-2/5 = -2/5 × 4/4 = -8/20

Multiplying both the numerator and denominator of 1/2 by 10, we get

1/2 = 1/2 × 10/10 = 10/20

Thus, we will now find ten rational numbers between -8/20 and 10/20.

The numbers will be -7/20, -6/20, -5/20, -4/20, -3/20, -2/20, -1/20, 0, 1/20, 2/20

Thus, ten rational numbers between -2/5 and 1/2 can be taken as:

-7/20, -6/20, -5/20, -4/20, -3/20, -2/20, -1/20, 0, 1/20, 2/20

☛ Check: NCERT Solutions for Class 8 Maths Chapter 1

Video Solution:

Find ten rational numbers between -2/5 and 1/2

NCERT Solutions Class 8 Maths Chapter 1 Exercise 1.2 Question 4

Summary:

Ten rational numbers between -2/5 and 1/2 can be taken as: -7/20, -6/20, -5/20, -4/20, -3/20, -2/20, -1/20, 0, 1/20, 2/20

☛ Related Questions:

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• Find five rational numbers between (i) 2/3 and 4/5 (ii) -3/2 and 5/3 (iii) 1/4 and 1/2.