Decimal Approximations of Roots

Directions: Using the digits 1 to 6, at most one time each, fill in the boxes to create a true statement with the smallest possible interval:

Hint

What place value will impact the interval the most?

Answer

1.36 < √2 < 2.45
1.65 < √3 < 2.34
1.65 < √4 < 2.34
2.16 < √5 < 3.45
2.41 < √6 < 3.56

Source: Bryan Anderson

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5 comments

  1. _
    1.36 < V2 < 2.04
    _
    1.73 < V3 < 2.04
    _
    1.65 < V4 < 2.03
    _
    2.16 < V5 < 3.04
    _
    2.41 < V6 < 3.05

    PS: The google form has a mistake. It says what number did you choose, then gives us the options A, B, C, D.

  2. 1 V2 2.50
    The google form has a mistake it gives us A,B,C,D instead of us putting the answer

  3. Do you mean 1 to 6 once on each line?

  4. I made a spreadsheet to check interval lengths to project with class as kids are sharing answers. Make a copy of this spreadsheet if you’d like to use it too.
    https://docs.google.com/spreadsheets/d/1CIAahFyXSYvMP3lO6lsyamA8PYsAM-eMdpYXM_GOYHY/edit#gid=0

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