Mathematics & Its Pedagogy
Multiplication
Mathematics & Pedagogy
Paper I
4 topics
What this chapter covers
The 4 topics below make up Multiplication in the CTET syllabus. Open any topic for notes, solved examples and a practice MCQ test.
1Multiplication Facts
2Properties
3Multiplication Algorithms
4Word Problems
Study material & tests
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Concept notes, key points, solved examples and hint-guided practice for every topic.
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🎯 Topic MCQ tests
8 auto-graded CTET-style questions per topic, with full explanations.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with solutions.
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Key Concepts — Quick Reference
This chapter
Properties of multiplication
| Commutative | a x b = b x a (3 x 5 = 5 x 3 = 15) |
|---|---|
| Associative | (a x b) x c = a x (b x c) ((2 x 3) x 4 = 2 x (3 x 4) = 24) |
| Identity (x 1) | a x 1 = 1 x a = a (25 x 1 = 25); 1 is the multiplicative identity |
| Zero property (x 0) | a x 0 = 0 x a = 0 (47 x 0 = 0) |
What multiplication means
| Repeated addition | 4 x 3 = 3 + 3 + 3 + 3 = 12 (add 3 four times) |
|---|---|
| Equal groups | 5 bags of 2 apples = 5 x 2 = 10 apples |
| Arrays | 3 rows of 4 = 3 x 4 = 12 (rows x columns) |
| Multiply by 10^n | a x (b x 10^n) = (a x b) followed by n zeros (45 x 100 = 4500) |