Which of the following statements is always true
(a) (x - y)/2 is a rational number between x and y
(b) (x + y)/2 is a rational number between x and y
(c) (x × y)/2 is a rational number between x and y
(d) (x ÷ y)/2 is a rational number between x and y

Solution:

Given expression x + y/2

This expression is for finding average value of x, y

We know that the average value, mean always lie between the two numbers

Therefore, the x + y/2 is a rational number that lies between x,y.

Between ⅓ and ¼, we have (⅓ + ¼)/2 = 7/12 × ½ = 7/24

✦ Try This: 3 + 2/2 is a rational number (a) Between 3 and 2, (b) Less than 3 and 2 both, (c) Greater than 3 and 2 both, (d) Less than 3 but greater than 2

3 + 2/2 = 5/2 = 2.5

2.5 lies between 3 and 2.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 25

Which of the following statements is always true (a) (x - y)/2 is a rational number between x and y, (b) (x + y)/2 is a rational number between x and y, (c) (x × y)/2 is a rational number between x and y, (d) (x ÷ y)/2 is a rational number between x and y

Summary:

x + y/2 is a rational number that lies between x and y

☛ Related Questions:

• The equivalent of 5/7, whose numerator is 45 is ___________
• The equivalent rational number of 7/9, whose denominator is 45 is ___________
• Between the numbers 15/20 and 35/40, the greater number is __________