Representing Base-5 Numbers with Flats, Longs, and Cubes
Use flats, longs, and cubes to represent numbers in base 5. Use the Take Apart and Put Together buttons to regroup units and explore equivalent representations. You can also add or remove a flat, a long, or a cube using the +1 and −1 buttons.
Note: This app is adapted from Peter Sassman's app, which was adapted from John Golden's Base-10 app.
Since this app does not include 5×5×5 blocks, the base-5 number 10445 is represented by 5 flats, 4 longs, and 4 cubes. Is 5445 a valid base-5 number? Why or why not?
Use the app to represent 3 flats, 0 longs, and 0 cubes. Then use regrouping to model 3005 − 15. Describe how you regrouped the blocks so that you could remove 1 cube.