L2 | ALGEBRAIC EXPRESSIONS | Classifying numbers as rational, irrational, non-real or undefined

Question 1

real numbers

Answer 1

R

Question 2

rational

Answer 2

Q

Question 3

irrational

Answer 3

Q’

Question 4

integers

Answer 4

z

Question 5

whole numbers

Answer 5

No

Question 6

What are whole numbers?

Answer 6

= {0 ; 1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7 ; …..}

Question 7

What are natural numbers?

Answer 7

= {1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7 ; ….

Question 8

What is a rational number?

Answer 8

any number that can be expressed as a fraction, where the numerator and the denominator are both integers.

The following are all rational numbers:

non-terminating (infinite) and recurring (repeating) decimals eg 0.232323…..

terminating (finite) decimals eg 0.23

integers

all fractions

Question 9

What is an irrational number?

Answer 9

any number that cannot be expressed as a fraction.

The following are all irrational numbers:

non-terminating (infinite) and non-recurring decimals eg 0.18542391….
the square-root of a non-square number eg 84 rooted
the cube-root of a non-cube number eg 51 cube rooted

Question 10

What are non real numbers?

Answer 10

A non-real number is any number that does not exist in the real number system.

Question 11

What are undefined numbers?

Answer 11

Any number that has a zero denominator.