22.3k views
2 votes
Which number is irrational, and integer, and a real number A) -4/2 B) there is no such number

User Tanaki
by
7.2k points

2 Answers

3 votes

Answer:

Explanation:

real number can be irrational or integer.

otherwise there is no number which can be irrational,integer and real (all together)

User Hrishabh Gupta
by
7.7k points
4 votes

Answer: The answer is B) there is no such number.

Explanation:

So we have to find which number is irrational, and integer, and a real number. Let's examine the problem closely:

- irrational means not rational and cannot be represented by a simple fraction (like pi )

- an integer means a number that can be written without a fractional component ( -1, 2, 0, -10000 )

- and a real number means that it is not imaginary ( like 2i,
√(-1) )

And our choices here are:

- -4/2

- there is no such number

Let's take a look at -4/2. This number is a fraction, but it can be simplified down to -2/1, which is an integer. -2 is a real number, not an imaginary number. But, -2 is not irrational, because as it just was shown here, it CAN be represented by a fraction. So, since only two out of the three criteria are true, then we have to consider choice B.

User TroySteven
by
7.7k points