Chapter 1 of 5
Concept Maps
Integers — Concept Maps
Gujarat Board · Class 7 · Mathematics
3 concept maps of Integers for Gujarat Board Class 7 Mathematics, each also written out as a text outline. Maps: Integers: Complete Overview.
45 questions7 formulas & key relations5 concepts
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3 Concept Maps
Integers: Complete Overview and Properties
The map in words
- Integers
- Definition
- Positive numbers
- Negative numbers
- Zero
- Addition Properties
- Closure property
- Commutative property
- Associative property
- Additive identity zero
- Subtraction Properties
- Closure property
- Non-commutative
- Non-associative
- Multiplication Properties
- Closure property
- Commutative property
- Associative property
- Multiplicative identity one
- Multiplication by negative one
- Multiplication Rules
- Positive times positive
- Positive times negative
- Negative times negative
- Division Properties
- Not closed
- Not commutative
- Not associative
- Undefined by zero
- Division Rules
- Positive divided negative
- Negative divided positive
- Negative divided negative
- Definition
Chapter Overview: Integers and Their Operations
The map in words
- Integers
- Properties of Addition
- Closure
- a plus b is integer
- Commutative
- a plus b equals b plus a
- Associative
- a plus b plus c grouping
- Identity
- a plus 0 equals a
- Inverse
- a plus minus a equals 0
- Closure
- Properties of Subtraction
- Closure
- a minus b is integer
- Not Commutative
- a minus b not equal b minus a
- Not Associative
- Closure
- Multiplication Rules
- Positive times Negative
- Result Negative
- Negative times Positive
- Result Negative
- Negative times Negative
- Result Positive
- Properties
- Closure
- Commutative
- Associative
- Distributive
- Positive times Negative
- Division Rules
- Same Signs
- Result Positive
- Different Signs
- Result Negative
- Special Cases
- Divide by 0 Undefined
- Divide by 1 Same Number
- Divide by minus 1 Opposite Number
- Same Signs
- Properties of Addition
Chapter Overview – Integers
The map in words
- Integers
- Addition and Subtraction
- Closure Property
- a plus b is integer
- a minus b is integer
- Commutative
- a plus b equals b plus a
- NOT for subtraction
- Associative
- a plus b plus c grouping free
- NOT for subtraction
- Additive Identity
- a plus 0 equals a
- Additive Inverse
- a plus minus a equals 0
- Closure Property
- Multiplication
- Sign Rules
- pos times pos equals pos
- pos times neg equals neg
- neg times neg equals pos
- Properties
- Closure
- Commutative
- Associative
- Distributive
- Special Values
- times 0 equals 0
- times 1 equals same
- times minus1 equals inverse
- Sign Rules
- Division
- Sign Rules
- Same signs pos quotient
- Different signs neg quotient
- Properties
- NOT Closed
- NOT Commutative
- NOT Associative
- Special Cases
- div 0 undefined
- 0 div a equals 0
- div 1 equals same
- div minus1 flips sign
- Sign Rules
- Addition and Subtraction
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Explore DiagramsFrequently Asked Questions
What are the important topics in Integers for Gujarat Board Class 7 Mathematics?
Key topics in Integers include Properties of Addition and Subtraction of Integers, Multiplication of Integers, Properties of Multiplication of Integers, Division of Integers. Study these first, then practise questions on each for Class 7 exams.
What do the concept maps for Integers show?
The 3 maps show how the ideas in Integers connect: Integers: Complete Overview and Properties; Chapter Overview: Integers and Their Operations. Each map is also written out as an outline on this page.
How should I revise Integers for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Integers. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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