Number Systems

Question 1

What is a set?

Answer 1

A collection of unordered values where each value appears at most once.

Question 2

What is the symbol for the number set ‘Real’?

Answer 2

R

Question 3

What is the definition of the number set ‘Real’?

Answer 3

Any number that can represent a distance along a line.

Question 4

What are the example values of the number set ‘Real’?

Answer 4

{3.145, 2.502, 3}
ALL numbers are Real! Except the square root of negative numbers.

Question 5

What is the symbol for the number set ‘Natural’?

Answer 5

N

Question 6

What is the definition of the number set ‘Natural’?

Answer 6

All whole numbers beginning from 0.

Question 7

What are the example values of the number set ‘Natural’?

Answer 7

{0, 1, 2, 3, 4…}

Question 8

What is the symbol for the number set ‘Integer’?

Answer 8

Z

Question 9

What is the definition for the number set ‘Integer’?

Answer 9

All whole numbers (positive and negative).

Question 10

What are the example values for the number set ‘Integer’?

Answer 10

{…, -3, -2, -1, 0, 1, 2, 3, …}

Question 11

What is the symbol for the number set ‘Rational’?

Answer 11

Q

Question 12

What is the definition for the number set ‘Rational’?

Answer 12

All numbers that can be written as a fraction of two whole numbers.

Question 13

What is the symbol for the number set ‘Irrational’?

Answer 13

R-Q

Question 14

What is the definition for the number set ‘Irrational’?

Answer 14

All numbers that cannot be written as a fraction of two whole numbers.

Question 15

What are the example values for the number set ‘Irrational’?

Answer 15

MUST know that root 2 and pi are irrational.

Question 16

What is the definition for the number set ‘Ordinal’?

Answer 16

Defines the position of an element in a series.

Question 17

What are the example values for the number set ‘Ordinal’?

Answer 17

1st, 2nd, 3rd, 4th, …

Question 18

How are the sets related to each other?

Answer 18