Question

Q3. If a and b are rational numbers then which is not always true?
(a) a + b is a rational number. (b) a-bis a rational number

(c) a xb is a rational number.
(d)a/b - is a rational number

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Answer 1

Answer:

d) a/b is a rational number

Step-by-step explanation:

This is because if you divide 7/0 it will give infinity which is irrational

Answer 2

Option d) is the correct answer.

Given:

a and b are rational numbers

To Find:

Which of the given option is not always true.

Solution:

Rational numbers are the number which is of the form p/q where q≠0.

Let a = 1/3 and b = 0, Here both a and b are rational numbers.

• a+ b = 1/3 + 0 = 1/3 which is also an rational number.
• a-b= 1/3 - 0 = 1/3,Which is an rational number.
• a*b = 1/3 * 0 = 0 , Which is an rational number.
• a/b = (1/3) /0 = ∞ ,Which is not an rational number.

Therefore, Option d) a/b - is a rational number is not always true.

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