If a and b are two integers, then which of the following may not be an integer
a. a + b
b. a - b
c. a × b
d. a ÷ b

Solution:

We have given that if a and b are two integers,

Then, let us apply integer rules on individual options,

a) a + b will always be an integer

b) a - b will always be an integer

c) a × b will always be an integer

d) a ÷ b will always NOT be an integer

Considering a as 2 and b as 3 we get a + b = 5, a - b = -1, a × b = 6 and a ÷ b = 2/3.

Therefore, if a and b are two integers, then a ÷ b will always NOT be an integer.

✦ Try This: If a and b are two integers, such that a = -2 and b = 7. Find the value of a - b + 2ab.

By substituting the value of a and b and further using the integer rules and the BODMAS rules we can determine the value of a - b + 2ab

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 24

If a and b are two integers, then which of the following may not be an integer: a + b, a – b, a × b, a ÷ b

Summary:

After applying integer rules on individual options we examined that if a and b are two integers, then a ÷ b will always NOT be an integer

☛ Related Questions:

• For a non-zero integer a which of the following is not defined? a ÷ 0, 0 ÷ a, a ÷ 1, 1 ÷ a
• Encircle the odd one of the following: (-3, 3), (-5, 5), (-6, 1), (-8, 8)
• Encircle the odd one of the following: (-1, -2), (-5, 2), (-4, 1), (-9, 7)