Question 3 - Visualising Number Sequences - Chapter 1 Class 6 - Patterns in Mathematics (Ganita Prakash)

Transcript

Question 3 You will have noticed that 36 is both a triangular number and a square number! That is, 36 dots can be arranged perfectly both in a triangle and in a square. Make pictures in your notebook illustrating this! This shows that the same number can be represented differently, and play different roles, depending on the context. Try representing some other numbers pictorially in different ways!36 as square and triangle number As square 36. 36 as square number 36 as square and triangle number 36 as square number 36 = 6 × 6 So, 6 rows of 6 dotsSimilarly 64 is both A square (8 × 8) A cube (4 × 4 × 4) 1 is all three A square (1 × 1) A cube (1 × 1 × 1) A triangular number 36 as square number 36 as triangular number Triangular numbers are 1, 3, 6, 10, 15, 21, … And, 21 + 7 = 28 28 + 8 = 36 So, 36 is a triangular number With 8 dots as base, and 7 on upper layer 6 on above layer … and so on 36 as triangular number