Notes
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N = Natural Numbers (Starting from 1) {1, 2, 3, 4, ..} Counting Numbers
Z = Integers {..., -3, -2, -1, 0, 1, 2, 3...} (Positive and negative counting numbers with zero)
Q = Rational Numbers (all fractions) (a/b where a belongs to Z, b belongs to Z and b is not equal to zero) {2/2, 2/5, 2/100, 3/999, ....}
{1, 1.01, 1.02, 1.00000000000001, ....}
0.5 = 1/2
0.25 = 1/4
-0.25 = -1/4
or 1/-4
1.5 = 3/2
1 = 1/1
2 = 2/1
3 = 3/1
N is a subset of Z
Z is a subset of Q
Rational numbers can be represented as numbers with decimal point
1.1 Terminating Non-recurring
2.01 Terminating non-recurring
1.333333333333...... Non-terminating Recurring
1.2525252525252525.... Non-terminating Recurring
1.285714285714285714285714... Non-terminating Recurring
Terminating
Non-terminating
Recurring
Non-recurring
4/3 = 1.333333333333.......
4/3 = 1.3 (3 bar)
9/7 = 1.285714285714285714285714... (285714 bar)
a/b = 3.14240983023481291201238534973598792341209122378127612735316....
Terminating = Rational Number
Non-terminating recurring = Rational Number
Non-terminating non-recurring = Irrational Number
pi, Square root of 2, 3,
R = Real Numbers = (Rational + Irrational)
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