Calculating the Area of the Kitchen Floor
To calculate the number of tiles that Amit will need for his kitchen floor, we first need to calculate the area of his kitchen floor. We are given that the length of the kitchen is 2.6m and the width is 1.7m. Therefore, the area of the kitchen floor is:

Area = length x width
Area = 2.6m x 1.7m
Area = 4.42m²

Calculating the Area of a Single Tile
We are also given that each side of the tile is 10cm. To calculate the area of a single tile, we need to convert the length of the side from centimeters to meters:

Side length = 10cm = 0.1m

Now we can calculate the area of a single tile:

Area = side length x side length
Area = 0.1m x 0.1m
Area = 0.01m²

Calculating the Number of Tiles
To calculate the number of tiles that Amit will need to cover his kitchen floor, we need to divide the area of the kitchen floor by the area of a single tile:

Number of tiles = Area of kitchen floor / Area of a single tile
Number of tiles = 4.42m² / 0.01m²
Number of tiles = 442

Therefore, Amit will need 442 tiles to cover his kitchen floor.

Conclusion
In conclusion, Amit will need 442 tiles to cover his kitchen floor. To calculate the number of tiles, we first calculated the area of the kitchen floor by multiplying the length and width of the kitchen. We then calculated the area of a single tile by squaring the length of one side of the tile. Finally, we divided the area of the kitchen floor by the area of a single tile to find the number of tiles needed.