Quick Notes

Quick Notes

Mathematics Chapter 1: Rational Numbers
1.1 Integers
 
1.1  Integers
 
  Definition  
     
 

Positive and negative whole numbers including \(0\).

  
 
Positive numbers:
 
  • Numbers written with the '\(+\)' sign or without any sign.
  • Examples: \(+12, 4, +7, 1\)
  • Positive integers are integers that have a value greater than \(0\).
 
Negative numbers:
 
  • Numbers written with the '\(-\)' sign.
  • Examples: \(-6, -2, -15, -27\)
  • Negative integers are integers that are lower than \(0\).
 
  Example  
     
 

Determine whether the following numbers is an integer.

(i) \(\dfrac{7}{2}\)

(ii) \(6.8\)

(iii) \(-12\)

  
     
 

(i) \(\dfrac{7}{2}\) is not an integer because it is a fraction.

(ii) \(6.8\) is not an integer because it is a decimal.

(iii) \(-12\) is an integer.

  
 
Integers on a number line:
 
  • On a number line, the numbers in the positive direction are always greater than the numbers in the negative direction.
 
Integer Number Line Example

Click the image to zoom in or zoom out.

Zoomed Image
 
Integers in order:
 
  • A positive number always has a larger value than a negative number.
 

Mini Exercise: Drag and Drop

Drag the correct answer into each box.

Positive integer
Negative integer
Not an integer
1. \(8\) is a Drop here
2. \(-5\) is a Drop here
3. \(3.7\) is Drop here