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Visualisation for Distributive Property in Integers
Last updated at January 21, 2026 by Teachoo
Integer Expressions - Properties and Pattern
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
- 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
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Integer Expressions - Properties and Pattern
- Figure it out - Page 42, 43, 44
Transcript
Visualisation for Distributive Property in IntegersWe can also Visualise Distributive Property. Let’s take some examples Example 1: 4 × (2 + (–3)) Example 2: –4 × (2 + (–3)) Pick the PatternWe need to figure out what the machines are doing to the numbers. Let’s look at Machine 1 & Machine 2 one-by-one Machine 1 Rule for Machine 1: (First Number) + (Second Number) - (Third Number) Formula: 𝒂+𝒃−𝒄 Find the result for the last group: −𝟏𝟎,−𝟏𝟐,−𝟗. We need to find (−𝟏𝟎)+(−𝟏𝟐)−(−𝟗) =(−10)+(−12)+9 =−(10+12) +9 =−22 +9 =−𝟏𝟑 Machine 2 The secret rule is Multiply the first two numbers, flip the sign (multiply by -1), then subtract the third number. Formula: −(𝒂 × 𝒃)−𝒄 Find the result for the last group: −𝟏𝟎,−𝟏𝟐,−𝟗. We need to find −(−𝟏𝟎 × −𝟏𝟐)−(−𝟗) =−(10 × 12) +9 =−120 +9 =−(120−9) =−𝟏𝟏𝟏
