Number Systems: A Modern Introduction |
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Page 172
... Multiplication . Experience with dividing objects gave rise to the notion . that ' and ' ( 2 · 5 ) / ( 3 · 7 ) ' represent the same amount . This experience motivates a definition of multiplication of arithmetic numbers as follows ...
... Multiplication . Experience with dividing objects gave rise to the notion . that ' and ' ( 2 · 5 ) / ( 3 · 7 ) ' represent the same amount . This experience motivates a definition of multiplication of arithmetic numbers as follows ...
Page 176
... arithmetic is com- mutative and associative , and zero is an additive identity . Additive inverses , however , do not exist , except for the ... NUMBERS OF ARITHMETIC 177 6. Fractional Symbols 176 THE NUMBER SYSTEM OF ORDINARY ARITHMETIC.
... arithmetic is com- mutative and associative , and zero is an additive identity . Additive inverses , however , do not exist , except for the ... NUMBERS OF ARITHMETIC 177 6. Fractional Symbols 176 THE NUMBER SYSTEM OF ORDINARY ARITHMETIC.
Page 177
... to 3/1 , so the corresponding calculation in arithmetic numbers is 2 3 O - 1 2.3 1 1 6 or · 1 The two results , 6 and 6/1 , correspond . This example hints that the multiplication for one set could Fractional symbols for numbers of ...
... to 3/1 , so the corresponding calculation in arithmetic numbers is 2 3 O - 1 2.3 1 1 6 or · 1 The two results , 6 and 6/1 , correspond . This example hints that the multiplication for one set could Fractional symbols for numbers of ...
Contents
Mathematical Reasoning and Creativity 1 Introduction 12584 | 2 |
Deductive reasoning | 5 |
Diagrams in deductive reasoning | 8 |
Copyright | |
83 other sections not shown
Common terms and phrases
Abelian group additive identity additive inverse arithmetic mod arithmetic numbers Assertion associative law base calculation casting out nines commutative law conditional proof conditional sentence considered corresponds decimal numerals decimal point defined definition denominator digit symbols distributive law dividing equation equivalence class equivalence relation example expanded numeral false fractional numeral fractional symbols illustrate inductive reasoning isomorphic kth root large number law of addition mathematical system modular arithmetics multiplicative identity multiplicative inverse named natural numbers negation negative integer negative number notation number system numbers of arithmetic objects obtained odd numbers operation ordered pairs ordinary arithmetic pairs of whole partial quotient polygon positive integers prime factorization prime number probability proof properties Prove Theorem rational numbers real numbers remainder result Review Practice Exercises ring rule set of whole solution set square root subset subtraction symbols represent system of whole Theorem VII tion triangle true whole numbers write