Number Relationships & Patterns

Question 1

What is a rational number?

Answer 1

A rational number is a number that can be written as a fraction(denominator and numerator are integers)

Question 2

What are natural numbers?

Answer 2

Numbers starting from 1 and increasing in ones until infinity

Question 3

What are whole numbers?

Answer 3

Numbers starting from 0 and increasing in ones until infinity

Question 4

What are integers?

Answer 4

Numbers starting from -infinity to +infinity, increasing in ones.

Question 5

What are imaginary numbers?

Answer 5

A number expressed as the square root of a negative number.

Question 6

Besides fractions, how else can you identify rational numbers?

Answer 6

They are also recurring decimals (eg 0.4444444) and terminating decimals (e.g 0.75)

Question 7

What are irrational numbers?

Answer 7

Numbers that cannot be written as a fraction or non-recurring and non-terminating. Examples are pi and 2.3456….

Question 8

How do you obtain an undefined number/result?

Answer 8

When you divide any number by 0.

Question 9

How do you determine between which two integers an irrational number lies?

Answer 9

Step 1: Look for the first perfect square that is less than the number on the square root as well as a perfect square that is greater than the same number.
Step 2:

Question 10

How many ways are there to represent numbers and inequalities. Name them.

Answer 10

2 ways.
Set builder notation and interval notation.