Question

Question 1
Consider the number 5. Select all of the categories that the number falls into.

Natural
Integer
Rational
Irrational
Real
Imaginary
Complex


Question 2
Consider the number sqrt(2). Select all of the categories that the number falls into.

Natural
Integer
Rational
Irrational
Real
Imaginary
Complex


Question 3
Consider the number 7/13. Select all of the categories that the number falls into.

Natural
Integer
Rational
Irrational
Real
Imaginary
Complex


Question 4
Consider the number 5i. Select all of the categories that the number falls in

Natural
Integer
Rational
Irrational
Real
Imaginary
Complex


Question 5
Consider the number 0. Select all of the categories that the number falls into.

Natural
Integer
Rational
Irrational
Real
Imaginary
Complex

Answer 1

Imaginary complex real

Answer 2

Answer:

1) 5 = Natural, Integer, Rational, Real

2) $\sqrt{2}$ = Irrational, Real

3) $\frac{7}{13}$ = Rational, Real

4) $5i$ = Imaginary , Complex

5) 0 =  Integer, Rational, Real

Step-by-step explanation:

We have to find the  categories that the number falls into.

So first we define the terms,

Natural number - The positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well.

Integers number - A whole number; a number that is not a fraction.

Rational number - A number that can be in the form p/q , where p and q are integers and q is not equal to zero.

Irrational number - A number that cannot be in the form p/q , where p and q are integers and q is not equal to zero.

Real number - A real number is a whole number, rational and irrational but not imaginary and infinity.

Imaginary number - When squared a number, gives a negative result represent as $\sqrt{-1}=i$.

Complex number - It is a combination of a  real Number and an imaginary Number.

Now, categories the number

1) 5 = Natural, Integer, Rational, Real

2) $\sqrt{2}$ = Irrational, Real

3) $\frac{7}{13}$ = Rational, Real

4) $5i$ = Imaginary , Complex

5) 0 =  Integer, Rational, Real