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Name: _____________________________________________
Date: _____________________________________
Rational Number System (continued)
Yesterday, we learned how to organize information into various sets and subsets by creating a circle diagram. Create a circle diagram that
represents the real number system.
Use your circle graph to classify each of the following numbers. Circle each category that each number belongs into. Put a star around the
category that most specifically fits each number.
1.) -5
natural number
whole number
integer
rational number
2.) 2
natural number
whole number
integer
rational number
3.) 7.8
natural number
whole number
integer
rational number
4.) -7.8
natural number
whole number
integer
rational number
5.) 0
natural number
whole number
integer
rational number
6.) 4 2
natural number
whole number
integer
rational number
7.) -1,000
natural number
whole number
integer
rational number
8.) 22
natural number
whole number
integer
rational number
1
Mark each statement as true or false. If false, edit the sentence so that it is true.
1.) ____ Natural numbers are always whole numbers.
2.) ____ Whole numbers are always integers.
3.) ____ Integers are always whole numbers.
4.) ____ Rational numbers are sometimes natural numbers.
5.) ____ -3 is a natural number.
6.) ____ 0 is a whole number.
You’re almost there!!!!! List all subsets each number below would fall into, starting with the most specific.
1.) -4 __________________________________________________________________________________________________
1
2.) -8 3 _________________________________________________________________________________________________
3.) 0 ___________________________________________________________________________________________________
4.) 11 ___________________________________________________________________________________________________
Last One! John Maximus Wilhelm IV and Frank are arguing about the classification of 3. John Maximus Wilhelm IV is arguing that -3
is an integer, and Frank is arguing that -3 is not an integer. Who do you agree with? Justify your answer.
Cut and paste each of the following numbers into the subset that each most specifically fits into.
-1
-4.5
0
3
4
-100
14.65
1.3
-5
25
1
2
Cut and paste each of the following numbers into the subset that each most specifically fits into.
-1
-4.5
0
3
4
-100
14.65
1.3
-5
25
1
2
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