On a calculator, enter the number 0.1. Continue to add 0.1 until you get 0.9. When you add another 0.1, what do you think you will get? Why? Continue to count to 4 or 5 by tenths. How many times do you have to add 0.1 to get from one whole number to the next? Try counting by 0.01. How many times do you have to add 0.01 to get from 0.01 to 0.1? Which is faster, counting by tenths to 10 or counting by hundredths to 1?
What real-world application can we use as a context for this exploration?
What happens when you continue to add 0.3?
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