Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? (Page 5-6)

Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? Class 6

Question 1.

Can you think of pictorial ways to visualise the sequence of Powers of 2? Powers of 3? Class 6

Here is one possible way of thinking about Powers of 2:

Solution:

Yes. For powers of 2, it has already been explained. For powers of 3, procede as in the case of powers of 2 with the difference that start with a dot representing 1 (3⁰), then a line segment divided into three equal parts (represent 3), then a square with this line-segment which will be divided into 9 equal parts (representing 3²), then a cube with this square as the base, which will be divided into 27 equal parts (representing 3³), then there will be a cuboid made up of 3 such cubes, representing 81 (3⁴), then there will be another cuboid made up 9 such cubes of 27 equal parts, which will be representing 243 (3⁵) and so on as shown below: