document.write( "Question 119574This question is from textbook Math Trailblazers
\n" ); document.write( ": Can you explain how 0.327 is less than 0.37? \n" ); document.write( "

Algebra.Com's Answer #87646 by tangitehewagen(7) $\"\"$ $\"About$

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Consider the real number line. We will look at the part of the number line between 3 and 5, \r
\n" ); document.write( "\n" ); document.write( " $\"number_line%28+1000%2C+3%2C+5%2C3.2%2C+3.7%2C+3.27+%29\"$ \r
\n" ); document.write( "\n" ); document.write( "A real number to the left of another real number on the number line is said to be less than the other.\r
\n" ); document.write( "\n" ); document.write( "We can see that 3.27 lies to the left of 3.7 on the number which implies that 3.27 is less than 3.7.\r
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\n" ); document.write( "\n" ); document.write( "Let's try another approach.\r
\n" ); document.write( "\n" ); document.write( "3.27 = 3 X 1 + 2 X $\"1%2F10\"$ + 7 X $\"1%2F100\"$ \r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "3.7 = 3 X 1 + 7 X $\"1%2F10\"$ \r
\n" ); document.write( "\n" ); document.write( "It is easy to see that the 3 X 1 is the same in both expressions so we compare 2 X $\"1%2F10\"$ + 7 X $\"1%2F100\"$ with 7 X $\"1%2F10\"$ .\r
\n" ); document.write( "\n" ); document.write( "Notice that 7 X $\"1%2F100\"$ is less than 1 X $\"1%2F10\"$ in other words, 7 hundredths is less than 1 tenth. Thus 2 tenths plus 7 hundredths is less than 3 tenths which is obviously less than 7 tenths. \r
\n" ); document.write( "\n" ); document.write( "Therefore 2 X $\"1%2F10\"$ + 7 X $\"1%2F100\"$ is less than 7 X $\"1%2F10\"$
\n" ); document.write( "hence 3.27 is less than 3.7 \n" ); document.write( "

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