Integers — Chapter Summary
Gujarat Board · Class 7 · Mathematics
Summary of Integers for Gujarat Board Class 7 Mathematics. Part of the Gujarat Board Class 7 Mathematics syllabus.
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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
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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