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Σελίδα 286
By Theorem 7-2, we can reduce this fraction so that the numerator and denominator have no common divisors except 1 ; thus we assume that ... In the preceding discussion, we verified the existence of one irrational number, namely A/2.
By Theorem 7-2, we can reduce this fraction so that the numerator and denominator have no common divisors except 1 ; thus we assume that ... In the preceding discussion, we verified the existence of one irrational number, namely A/2.
Σελίδα 288
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 irrational number by a different ...
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 irrational number by a different ...
Σελίδα 294
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 translate our unit square so that its lower left corner is at ...
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 translate our unit square so that its lower left corner is at ...
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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