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Patterns in Integer Multiplication
Last updated at January 21, 2026 by Teachoo
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
- Integer Expressions - Properties and Pattern
- Figure it out - Page 42, 43, 44
Transcript
Patterns in Integer MultiplicationLet’s see what happens if we multiply Positive Number × Negative Number First, we multiply positive numbers by 3 We observe that Every time the first number goes down by 1, the answer gets smaller by 3. If we go past 0: The pattern must continue. If we were at 0 and we go down by 3 again, we land on -3. So, we can write Negative × Positive = Negative Now, let’s try Multiplying two Negative Numbers Pattern for Negative × Negative Let’s multiply Positive Numbers by –3 We observe that Every time the first number goes down by 1, the answer gets bigger by 3. If we go past 0: The pattern must continue. If we were at 0 and we go up by 3 again, we land on 3. So, we can write Negative × Negative = Positive Thus, our rules are Negative × Positive = Negative Negative × Negative = Positive
