Final answer:
To determine how many small squares fit into a large square, calculate the area of both and divide the large area by the small area. The large square has an area of 144cm² and the small square has an area of 0.01cm², so 14400 small squares fit into the large square.
Step-by-step explanation:
To find out how many of the smaller squares fit into the larger square, we should calculate the area of both squares and then divide the area of the larger square by the area of the smaller square.
The large square has a side length of 12cm, so its area is 12cm × 12cm which is 144cm². The small square has a side length of 0.1cm, so its area is 0.1cm × 0.1cm which is 0.01cm².
To find out how many small squares fit into a large one, divide the larger area by the smaller one: 144cm² / 0.01cm² equals to 14400. So, 14400 small squares can fit into the larger square.
When using powers of 10, the calculation can also be seen as (12 × 10²) ² / (1 × 10±) ² = (12² × 10⁴) / (1² × 10²)
= 144 × 10².