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

1) 5 = Natural, Integer, Rational, Real

2) = Irrational, Real

3) = Rational, Real

4) = 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 .

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) = Irrational, Real

3) = Rational, Real

4) = Imaginary , Complex

5) 0 =  Integer, Rational, Real

answer: its the third option.

step-by-step explanation:

i just took the test.