We have been exploring how the position of a digit within a number determines its value. The following task encouraged the students to find different ways to ‘SHOW’ numbers. 

We began by rolling three dice to find the 3 digit number that will be represented in different ways. 

Here are some examples of student work:

Next, we wondered if there were different ways to ‘SHOW’ a number.

Could we show 253 in a different way by changing the tens?

What if it had 2 hundreds and 4 tens? How many ones would you need to have so it is still 253?


 

How might we decompose the following numbers into hundreds, tens, and ones and then find a different way to show each one by changing the hundreds or tens digit?

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