How Many Numbers Are There?

Directions:  How many numbers are between 1 and 3?


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

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  1. John Birnstengel

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

  2. 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

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

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

  5. 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

  6. 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!

  7. 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

  8. infinite

  9. The numbers that are in 1through 3

  10. If you use fractions it is infinite but if you use normal numbers it is 1

  11. For fractions it is infinite but for normal numbers it is 1.

  12. Joshua why did you do that

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