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Misconceptions and ErrorsMathematics NavigatorMatheMatics Navigator | iii Introductionin this guideMisconceptions and errors are addressed as follows: place value ........................................ ........................................ ........................................ ...... 1Addition and Subtraction ........................................ ........................................ ............... 4Multiplication and Division ........................................ ........................................ ........... 8Fractions ........................................ ........................................ ........................................ .. 14Decimals ........................................ ........................................ ........................................ .. 22Measurement.

The student orders numbers based on the value of the digits, instead of place value. 69 > 102, because 6 and 9 are bigger than 1 and 2. Example 6. The student undergeneralizes results of multiplication by powers of 10 and does not understand that shifting digits to higher place values is like multiplying by powers of 10.

  Value, Number, Place, Place value