Question

If a and b are two integer number then which may not be an integer.a)a+b, b)a-b, c)a×b, d)a÷b

Answer 1

If a and b are two integer number then a ÷ b may not be an integer.

Given :

a and b are two integer number

To find :

If a and b are two integer number then which may not be an integer.

a) a + b

b) a - b

c) a × b

d) a ÷ b

Solution :

Step 1 of 2 :

Write down the given integers

Here the given integers are a and b

Step 2 of 2 :

Choose the correct option

Option a :

The set of integers are closed under addition

Since a and b are two integer number

So a + b must be an integer

Therefore , option a is not correct

Option b :

The set of integers are closed under subtraction

Since a and b are two integer number

So a - b must be an integer

Therefore , option b is not correct

Option c :

The set of integers are closed under multiplication

Since a and b are two integer number

So a × b must be an integer

Therefore , option c is not correct

Option d :

The set of integers are not closed under division

Since a and b are two integer number

So a ÷ b may not be an integer

For example , we take a = 2 & b = 4 which are integers

But a ÷ b = 2 ÷ 4 = 1/2 which is not an integer

Therefore , option d is not correct

Final answer :

Hence the correct option is d) a ÷ b

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Answer 2

Answer:

The correct answer to this question is a ÷ b will always NOT be an integer.

Step-by-step explanation:

Given - a and b are two integer numbers.

To Find - Write this may not be an integer. a) a+b, b) a-b, c) a×b, d) a÷b

A whole number that can be positive, negative, or zero is called an integer.

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.

Let, a as 2 and b as 3, we get,

a + b = 5

a - b = -1

a × b = 6

a ÷ b = $\frac{2}{3}$  

so, a ÷ b will always NOT be an integer.

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