Question 9 - Figure it out - Page 10, 11 - Chapter 1 Class 8 - A Square and a Cube (Ganita Prakash)

Transcript

Question 9 How many tiny squares are there in the following picture? Write the prime factorisation of the number of tiny squares. The image is an 8 × 8 grid of larger squares. There are two types of larger squares: tilted and straight. he straight squares are made of a 4 × 4 grid of tiny squares. Number of tiny squares = 4 × 4 = 16 The tilted squares are also made of 16 tiny squares (you can see 4 full squares and 8 half-squares, which total 8 squares, plus the corners making up another 4, or more simply, they fit in the same 4x4 area). Since every one of the 64 larger squares contains 16 tiny squares: Total tiny squares = 64 × 16 = 1024. Prime factorization of 1024 By prime Factorization, 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 Note: It’s only asked to find prime factorization, that’s why we don’t group