Class 6 Maths Chapter 10 PDF: The Other Side of Zero (Ganita Prakash)

Class 6 Maths Chapter 10, The Other Side of Zero, introduces integers (positive numbers, zero, and negative numbers) through Bela’s Building of Fun elevator, unmarked number lines, positive/negative token pairs, banking credits/debits, sea-level elevations, temperatures, magic integer grids and Brahmagupta’s 628 CE rules.

What Class 6 Mathematics Chapter 10 Covers

10.1–10.2 Bela’s Building of Fun, Number Line & Token Model models positive (+1, +2, …) and negative (–1, –2, …) floors above and below Ground Floor 0 using elevator rules: Target floor = Starting floor + Movement and Movement = Target floor – Starting floor; compares integers (e.g., –5 < –2 < 0 < +3); converts subtraction into adding the additive inverse (inverse/zero pairs); and models integer addition and subtraction with green (+) and red (–) tokens (10.2).

10.3–10.5 Real-World Integers, Integer Grids & Brahmagupta’s History applies integers to bank credits (+)/debits (–), geographical heights above (+)/depths below (–) sea level (Mt Everest +8848 m, Mariana Trench –10984 m), and temperatures above/below 0°C (10.3); solves hollow and border-sum integer grids (10.4); and presents Brahmagupta’s foundational rules for positive numbers (dhana), negative numbers (rina) and zero from his Brahmasphutasiddhanta (628 CE) (10.5).

Exercises in Chapter 10

• Figure it Out exercise sets across every section with step-by-step Chapter Solutions included at the end of the PDF.
• Summary key formulas, visual proofs, and mathematical puzzles.

Read Class 6 Mathematics Chapter 10 Online

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• Previous: Chapter 9: Symmetry
• Hindi medium: Class 6 Maths Chapter 10 PDF in Hindi (Ganita Prakash)
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FAQ

How do you subtract an integer using its additive inverse?
Subtracting a number is the same as adding its inverse (opposite sign): a – b = a + (–b), and a – (–b) = a + (+b). For example, 5 – (–3) = 5 + 3 = 8.

Which Indian mathematician first gave the complete rules for arithmetic with zero, positive, and negative numbers?
Brahmagupta in his treatise Brahmasphutasiddhanta (628 CE) gave the first explicit rules for adding and subtracting positive numbers (fortunes/dhana), negative numbers (debts/rina), and zero.

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