1. Why is this difficult? How many are there? What is the smallest number?

2. The final zeroes are not significant, they don’t have an impact on the size of the number. So these numbers are equal. They have the same value – 4/10 or 4 0.1’s. We can add or remove zeroes at the end of a decimal number to help us compare them.

3. Add zeroes to the end of the 0
Add zeroes to the end of the 0.4 so they have the same number of digits. Then we can compare them by seeing that 305 is less than 400. The first significant figure is in the same column and 3 is less than 4. The 0 and 5 don’t add up to an extra tenth.

4. Add non significant zeroes to these numbers so that they have the same number of digits after the decimal place.

5. Are these statements true or false, what do the symbols mean?

6. Are these statements true or false, what do the symbols mean?

7. A way of doing this is to think of these numbers as 0. 40 and 0. 50
A way of doing this is to think of these numbers as 0.40 and We can find a number half way between 40 and 50, so we can see that 0.45 is between them.

8. If you can’t find a number that is between those numbers, just add some more zeroes until you can. We can think of this as and 0.110, we can find a number between 100 and 110, we know it is 105, so is between these two numbers.

9. So we need a number that is less than 1 and greater than 0. 99
So we need a number that is less than 1 and greater than It needs to be greater than 0.99.