Integers

Class 7 - NCERT

Types of numbers

Integers on number line

Operations + - * /

• multiplication of integers
  • positive and negative
  • negative and negative
  • more than 2 negative numbers
    • if the number of negative integers are even, then the answer is positive else negative
• division of integers - any integers divided by 1 remains the same - not all integer division is closure

Properties over addition

• closure
• associative
• commutative
• additive identity
• additive inverse

Properties over subtraction

• closure

Properties under multiplication

• closure
• commutative
• associative
• distributive over addition and subtraction
• multiplication by zero
• multiplicative identity
• multiplication of more than 2 integers
• multiplication of signs
• multiplicative inverse

Class 7 - Arjun

• mod values add and sub
• magic square