Use flats, longs, and cubes to represent numbers in base 5. Use the [i][b]Take Apart[/b][/i] and [i][b]Put Together[/b][/i] buttons to regroup units and explore equivalent representations. You can also add or remove a flat, a long, or a cube using the [b]+1[/b] and [b]−1[/b] buttons. [br][br][size=85]Note: This app is adapted from [url=https://www.geogebra.org/m/gd7cyg4h]Peter Sassman's app[/url], which was adapted from [url=https://www.geogebra.org/m/RhjKaUgB]John Golden's Base-10 app[/url].[/size]
Since this app does not include 5×5×5 blocks, the base-5 number 1044[sub]5[/sub] is represented by [b]5 flats, 4 longs, and 4 cubes[/b]. Is 544[sub]5[/sub] a valid base-5 number? Why or why not?
Use the app to represent [b]3 flats, 0 longs, and 0 cubes.[/b] Then use regrouping to model [b]300[sub]5[/sub] − 1[sub]5[/sub][/b]. Describe how you regrouped the blocks so that you could remove 1 cube.