About "2"

Which of the following about the number " 2 2 " is(are) correct?

Can be used as a Constant Even Number Prime Number Integer Real Number Rational Number All of the above None of the above

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3 solutions

Tom Engelsman
Nov 28, 2016

It's all of the above!

1) 2 is a prime since it is only divisible by itself and 1.

2) 2 is a rational number since it is expressible as p q = 2 1 \frac{p}{q} = \frac{2}{1} .

3) 2 is an even number since 2 0 ( m o d 2 ) 2 \equiv 0 (mod 2) .

4) 2 is real number since it is rational (per #2) Q R \Rightarrow \mathbb{Q} \subseteq \mathbb{R} .

5) 2 is an integer since it is rational (per #2) Z Q \Rightarrow \mathbb{Z} \subseteq \mathbb{Q} .

6) 2 can be used as a constant for an infinite number of equations (for example the circular equation x 2 + y 2 = 2 x^2 + y^2 = 2 ).

Mohammad Khaza
Jun 9, 2018

as 2 is a prime number. it must "it's all of the above"

How do you define 'Above'? ;-) "Can be used as a constant" is under the the option "All of the above".

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