Note, the following notation is used for column headings: N-the Natural Numbers: [0], 1, 2, 3, ...; Z-the Integers: the natural numbers, 0, and their "opposites"; Digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9); Even (remainder is 0 when divided by 2); Q-the rational numbers (expressible as ratio of two integers); R/Q-the irrational numbers (reals minus rationals); R-the real numbers (all numbers on a number line); R+-the positive reals (x>0); R--the negative reals (x<0); R/A-transcendental numbers (reals minus algebraics); Imaginary-complex numbers with zero real part. In a final column are given a tally of check-marks expected for each row. Once that is correct, please tally each column for grading purposes.
N | Z | Digit | Even | Q | R/Q | R | R+ | R- | R/A | Imaginary | Tally | |
5 | 6 | |||||||||||
2/3 | 3 | |||||||||||
-7 | 4 | |||||||||||
3 | ||||||||||||
(16) | 7 | |||||||||||
(-16) | 1 | |||||||||||
(-15) | 1 | |||||||||||
44 | 6 | |||||||||||
4 | ||||||||||||
1.765 | 3 | |||||||||||
-10000 | 5 | |||||||||||
-1½ | 3 | |||||||||||
-(6) | 3 | |||||||||||
0 | * | 6+* | ||||||||||
1 | 6 | |||||||||||
1/9 | 3 | |||||||||||
Tally | *+ | 64 |
*Note: many computer scientists and mathematicians, especially number theorists, use zero indexing and thus consider zero the first natural number. You can safely ignore this box for the tallies.
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