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Token Model for Adding and Subtracting Integers
Last updated at January 21, 2026 by Teachoo
Token Model for Adding and Subtracting Integers
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 2 Class 7 - Operations with Integers (Ganita Prakash II)
- Quick Recap on Intergers
- Carrom Coin Integers
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Token Model for Adding and Subtracting Integers
- Multiplication of Integers
- Patterns in Integer Multiplication
- Brahmagupta’s Rules for Multiplication and Division of Integers
- A Magic Grid of Integers
- Division of Integers
- Figure it out - Page 39
- Integer Expressions - Properties and Pattern
- Figure it out - Page 42, 43, 44
Transcript
Token Model for Adding and Subtracting IntegersNow, we use tokens to signify numbers Thus, we can write For positive numbers For Negative numbers Now, let’s add numbers using tokens Add (+ 5) and (– 3) (+ 5) + (– 3) We cancel + and – pairs, and the remaining number left is our answer Thus, (+ 5) + (– 3) = +2 Add (+ 5) and (–8) (+ 5) + (–8) We cancel + and – pairs, and the remaining number left is our answer Thus, (+ 5) + (– 8) = –3 This is different from Addition In addition, we make pairs In subtraction, we eliminate tokens Let’s do some examples Subtract (+5) – (+4) We do follow these steps First make +5 using tokens Then remove 4 tokens Remaining is our answer ∴ (+5) – (+4) = (+1) Subtraction using Tokens Subtract (–7) – (–5) We do follow these steps First make –7 using tokens Then remove 5 tokens Remaining is our answer ∴ (–7) – (–5) = (–2) Now, let’s do a different question Subtract (+5) – (+6) We do follow these steps First make 5 using tokens Now, we cannot remove 6 tokens from 5 So, we add a pair of positive and negative tokens We can do that because (+1) + (–1) = 0 Now, remove 6 positive tokens Remaining tokens is our answer ∴ (+5) – (+6) = (–1)
