Video Transcript
Convert three and a quarter square decimeters to square centimeters.
We recall that one decimeter of length is equal to 10 centimeters. If we consider a one-decimeter square, we can calculate the area by multiplying one by one. The area is equal to one square decimeter. An identical square with dimensions given in centimeters would be 10 centimeters by 10 centimeters. This would have an area of 100 square centimeters as 10 multiplied by 10 is 100. This gives us the conversion that one square decimeter is equal to 100 square centimeters.
To convert from square decimeters to square centimeters, we will need to multiply by 100. Three and one-quarter is the same as 3.25. We need to convert 3.25 square decimeters into square centimeters. Multiplying by 100 moves all of our digits two places to the left. So, 3.25 multiplied by 100 is 325. We can, therefore, conclude that 3.25 square decimeters is equal to 325 square centimeters.
