modern mathematic an elementary apoproach1970 |
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Σελίδα 286
... number must be false. Thus A/2 is irrational. In the preceding discussion, we verified the existence of one irrational number, namely A/2. Are there more ? Is it reasonable to believe that there are more irrational numbers than rational ...
... number must be false. Thus A/2 is irrational. In the preceding discussion, we verified the existence of one irrational number, namely A/2. Are there more ? Is it reasonable to believe that there are more irrational numbers than rational ...
Σελίδα 288
... number is an irrational number. Generally it will be an irrational number, but there are exceptions. We could not tell that A/2 was an irrational number by looking at any part of its decimal representation; we verified that it was an ...
... number is an irrational number. Generally it will be an irrational number, but there are exceptions. We could not tell that A/2 was an irrational number by looking at any part of its decimal representation; we verified that it was an ...
Σελίδα 294
... number line that is a distance of A/2 from the origin. Thus, this point represents the irrational number, A/2. In a like manner, if we rotate the diagonal counterclockwise about the origin, we can mark the point -V 2. Now let us ...
... number line that is a distance of A/2 from the origin. Thus, this point represents the irrational number, A/2. In a like manner, if we rotate the diagonal counterclockwise about the origin, we can mark the point -V 2. Now let us ...
Περιεχόμενα
Sections 15 of Chapter | 3 |
Sets and Relations | 33 |
The System of Whole Numbers | 69 |
Πνευματικά δικαιώματα | |
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Additive identity additive inverse algorithm angles answer arithmetic mean Associative property Axiom called cartesian product Chapter Seven circle closed curve Commutative property concept congruent Consider counting numbers decimal defined Definition denoted digits discussion distributive property divide elements equation equivalent Exercise Set factors Figure Find Fractions and Rational frequency given greatest common divisor illustrated indicated inductive reasoning intersection irrational number least common multiple line segment mathematical system measure median mod 9 multiplicative inverse natural numbers number line numbers less Numeration Systems obtained one-to-one correspondence operation of addition ordered pairs plane polygon positive integer preceding prime numbers prism probability Proof property of addition property of multiplication prove rational numbers real numbers represent sample space set of points solution set square subset subtraction symbol system of integers system of whole Table Theorem Transitive property triangle true Venn diagrams verify whole numbers