The Value of a Number
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?
-
- 253 = 2 hundreds, 5 tens, 3 units
-
- 253 = 2 hundreds, 4 tens, 13 units
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?
