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Integers

Gujarat Board · Class 7 · Mathematics

Summary of Integers for Gujarat Board Class 7 Mathematics. Key concepts, important points, and chapter overview.

45 questions5 concepts

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A number line illustrating the set of integers, including positive integers, negative integers, and zero.
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Overview

Integers are whole numbers that include positive numbers, negative numbers, and zero. Unlike natural numbers which only include 1, 2, 3..., integers expand our number system to include their opposites: -1, -2, -3... This chapter explores how integers behave under basic mathematical operations (addit

Key Concepts

Integers are the set of all

Integers are the set of all whole numbers and their negatives, including zero. The set of integers can be written as {..., -3, -2, -1, 0, 1, 2, 3, ...

When you add any two integers

When you add any two integers, the result is always an integer. For example: 17 + 23 = 40 (both integers), (-10) + 3 = -7 (integer), 19 + (-25) = -6 (

When you subtract one integer from

When you subtract one integer from another, the result is always an integer. For example: 7 - 9 = -2 (integer), (-8) - (-14) = 6 (integer), (-21) - (-

The order in which you add

The order in which you add two integers does not affect the result. This means a + b = b + a for any integers a and b. Examples: 5 + (-6) = -1 and (-6

The order in which you subtract

The order in which you subtract integers DOES affect the result. This means a - b ≠ b - a (they are usually different). For example: 5 - (-3) = 8, but

Learning Objectives

  • Understand the concept of integers and their representation on a number line
  • Learn and apply the closure property for addition and subtraction of integers
  • Understand commutative and associative properties for integers
  • Learn multiplication and division of integers with different sign combinations
  • Apply properties of multiplication including distributive property

Frequently Asked Questions

What are the important topics in Integers for Gujarat Board Class 7 Mathematics?
Key topics in Integers include Integers: Complete Overview and Properties, Chapter Overview: Integers and Their Operations, Chapter Overview – Integers. These are the concepts Gujarat Board Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Integers — Gujarat Board Class 7 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and 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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All 5 chapters — Gujarat Board Class 7 Mathematics Chapter Summary

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