 # How Many Numbers Are There?

Directions:  How many numbers are between 1 and 3?

### Hint

Should one and three be included? What types of numbers are we counting? How can we figure out if there are any numbers between the whole numbers?

While students may initially guess 3 or 1 number, when they start including fractions, they should come to the conclusion that there are infinite numbers between 1 and 3 (or really between any two numbers).

Source:  Robert Kaplinsky

## Multiply and Divide Within A Hundred 1

Directions: Using the digits 2 to 9 at most one time each, place a digit …

1. • • The numbers are 1.1, 1.2, 1.3 , 1.4, 1.5, 1.6 1.7 1.8 1.9 2.0, 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 and 3.0

2. 3. 4. John Birnstengel

IT IS NOT 2!!!!!!
IT IS INFINITE!!!!!!

5. 6. 7. 1 or 2 or 3

8. 9. 10. Infinity numbers between one and three because it is all Numbers between 1.0 to 3.0 such like 1.1 1.01 1.000001 and stuff like that

11. If you did with fractions there are infinite possibilities.

12. Not infinity. DEFINETLY NOT INFINITY. But, there can be A LOT.

13. 14. there are the obvious ones but there are the fractions i am not sheer if we are counting fractions but if we are then i agree with Kayla and many other people that there are to many to count but if we are not counting fractions then only one number

15. Scarlett Salaz

At first i thought “well obviously there is only 1 number between 1 and 3” once i typed what i thought was the answer i checked (just to see) and nope it was infinite!

16. 17. The numbers are 1.1, 1.2, 1.3 , 1.4, 1.5, 1.6 1.7 1.8 1.9 2.0, 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 and 3.0

18. infinite