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Class 7MathematicsIntegers

Properties of Integers

Closure under addition, subtraction, multiplication: result is always an integer. NOT closed under division (10÷3 is not integer). Commutative for + and ×. Associative for + and ×. Distributive: a(b+c) = ab+ac. Additive identity = 0. Multiplicative identity = 1. Additive inverse of a is −a.

10 examples

Concept check 1
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on concept check and show the working clearly.
Definition to application 2
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on definition to application and show the working clearly.
Formula warm-up 3
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on formula warm-up and show the working clearly.
Reasoning practice 4
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on reasoning practice and show the working clearly.
Board-style short answer 5
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on board-style short answer and show the working clearly.
Mistake correction 6
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on mistake correction and show the working clearly.
Visual interpretation 7
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on visual interpretation and show the working clearly.
Applied word problem 8
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on applied word problem and show the working clearly.
Revision challenge 9
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on revision challenge and show the working clearly.
Exam recap 10
For Class 7 Mathematics, explain or solve a properties of integers question from the chapter "Integers". Focus on exam recap and show the working clearly.